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Jerrold E. MarsdenJerrold Marsden

Jerrold E. Marsden, the Carl F. Braun Professor of Engineering, Control and Dynamical Systems, and Applied and Computational Mathematics at Caltech, passed away on September 21, 2010.
Expertise:
Mechanics, dynamics and control systems. Mechanical systems with symmetry analyzed using geometric, analytical, and computational techniques as well as dynamical systems, control theory, and bifurcation theory. Applications are made to a variety of engineering and spacecraft systems.
Research Areas:
Jerrold Marsden was a professor of Control and Dynamical Systems at Caltech. He did extensive research in the area of geometric mechanics, with applications to rigid body systems, fluid mechanics, elasticity theory, plasma physics, as well as to general field theory. His work in dynamical systems and control theory emphasizes how it relates to mechanical systems and systems with symmetry, along with concrete application areas of dynamical systems and optimal control, including Lagrangian Coherent Structures (LCS), space systems, and structured integration methods. He was one of the original founders in the early 1970's of reduction theory for mechanical systems with symmetry, which remains an active and much studied area of research today.

He won a number of awards for his research. Much of this research can be found in his books and papers.
Publications in CaltechAUTHORS
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Number of items: 472.

2014

Marsden, Jerrold E. and Wang, Hong and Zhang, Zhenxing (2014) Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. Differential Geometry and its Applications, 33 . pp. 13-45. ISSN 0926-2245. http://resolver.caltech.edu/CaltechAUTHORS:20140612-085737235

2013

Ober-Blöbaum, Sina and Tao, Molei and Cheng, Mulin et al. (2013) Variational integrators for electric circuits. Journal of Computational Physics, 242 . pp. 498-530. ISSN 0021-9991. http://resolver.caltech.edu/CaltechAUTHORS:20130628-141442082

2012

Yavari, Arash and Marsden, Jerrold E. (2012) Covariantization of nonlinear elasticity. Zeitschrift für Angewandte Mathematick und Physik, 63 (5). pp. 921-927. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:20121115-155126102

Moore, Ashley and Blöbaum, Sina-Ober and Marsden, Jerrold E. (2012) Trajectory Design Combining Invariant Manifolds with Discrete Mechanics and Optimal Control. Journal of Guidance Control and Dynamics , 35 (5). pp. 1507-1525. ISSN 0731-5090. http://resolver.caltech.edu/CaltechAUTHORS:20130301-105652530

Maruskin, Jared M. and Bloch, Anthony M. and Marsden, Jerrold E. et al. (2012) A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics. Journal of Nonlinear Science, 22 (4). pp. 431-461. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20121005-090642898

Gay-Balmaz, François and Marsden, Jerrold E. and Ratiu, Tudor S. (2012) Reduced Variational Formulations in Free Boundary Continuum Mechanics. Journal of Nonlinear Science, 22 (4). pp. 463-497. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20121005-103335650

Chertock, Alina and Du Toit, Philip and Marsden, Jerrold Eldon (2012) Integration of the EPDiff equation by particle methods. ESAIM-Mathematical Modelling and Numerical Analysis, 46 (3). pp. 515-534. ISSN 0764-583X. http://resolver.caltech.edu/CaltechAUTHORS:20120326-111126626

Kobilarov, Marin and Marsden, Jerrold E. and Sukhatme, Gaurav S. (2012) Global estimation in constrained environments. International Journal of Robotics Research, 31 (1). pp. 24-41. ISSN 0278-3649. http://resolver.caltech.edu/CaltechAUTHORS:20120213-095642723

2011

Venturini, G. and Yang, J. Z. and Ortiz, M. et al. (2011) Replica time integrators. International Journal for Numerical Methods in Engineering, 88 (6). pp. 586-611. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20111114-145609664

Gawlik, E. S. and Mullen, P. and Pavlov, D. et al. (2011) Geometric, variational discretization of continuum theories. Physica D, 240 (21). pp. 1724-1760. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20120103-140434914

Kobilarov, Marin B. and Marsden, Jerrold E. (2011) Discrete Geometric Optimal Control on Lie Groups. IEEE Transactions on Robotics, 27 (4). pp. 641-655. ISSN 1552-3098. http://resolver.caltech.edu/CaltechAUTHORS:20110826-103842804

Grillo, Sergio and Marsden, Jerrold and Nair, Sujit (2011) Lyapunov constraints and global asymptotic stabilization. Journal of Geometric Mechanics, 3 (2). pp. 145-196. ISSN 1941-4889. http://resolver.caltech.edu/CaltechAUTHORS:20110823-142822793

Mullen, P. and McKenzie, A. and Pavlov, D. et al. (2011) Discrete Lie Advection of Differential Forms. Foundations of Computational Mathematics, 11 (2). pp. 131-149. ISSN 1615-3375. (In Press) http://resolver.caltech.edu/CaltechAUTHORS:20100930-091445735

Ober-Blöbaum, Sina and Junge, Oliver and Marsden, Jerrold E. (2011) Discrete mechanics and optimal control: An analysis. ESAIM: Control, Optimisation and Calculus of Variations, 17 (2). pp. 322-352. ISSN 1292-8119 . http://resolver.caltech.edu/CaltechAUTHORS:20110707-075800302

Pavlov, D. and Mullen, P. and Tong, Y. et al. (2011) Structure-preserving discretization of incompressible fluids. Physica D, 240 (6). pp. 443-458. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20110309-092043242

Tao, Molei and Owhadi, Houman and Marsden, Jerrold E. (2011) Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs. Dynamics of Partial Differential Equations, 8 (1). pp. 21-45. ISSN 1548-159X. http://resolver.caltech.edu/CaltechAUTHORS:20110502-134102771

Tao, Molei and Owhadi, Houman and Marsden, Jerrold E. (2011) From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Applied Mathematics Research eXpress, 2011 (2). pp. 242-280. ISSN 1687-1200. http://resolver.caltech.edu/CaltechAUTHORS:20120215-101206163

2010

Leyendecker, S. and Ober-Bloebaum, S. and Marsden, J. E. et al. (2010) Discrete mechanics and optimal control for constrained systems. Optimal Control Applications and Methods, 31 (6). pp. 505-528. ISSN 0143-2087. http://resolver.caltech.edu/CaltechAUTHORS:20110310-100105962

Vankerschaver, J. and Kanso, E. and Marsden, J. E. (2010) The Dynamics of a Rigid Body in Potential Flow with Circulation. Regular and Chaotic Dynamics, 15 (4-5). pp. 606-629. ISSN 1560-3547. http://resolver.caltech.edu/CaltechAUTHORS:20101221-102207305

Du Toit, Philip C. and Marsden, Jerrold E. (2010) Horseshoes in hurricanes. Journal of Fixed Point Theory and Applications, 7 (2). pp. 351-384. ISSN 1661-7738. http://resolver.caltech.edu/CaltechAUTHORS:20110214-103950432

Tao, Molei and Owhadi, Houman and Marsden, Jerrold E. (2010) Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging. Multiscale Modeling and Simulation, 8 (4). pp. 1269-1324. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:20100927-105248361

Bloch, Anthony M. and Leok, Melvin and Marsden, Jerrold E. et al. (2010) Controlled Lagrangians and stabilization of discrete mechanical systems. Discrete and Continuous Dynamical Systems Series S, 3 (1). pp. 19-36. ISSN 1937-1632. http://resolver.caltech.edu/CaltechAUTHORS:20100601-130852433

Kobilarov, Marin and Marsden, Jerrold E. and Sukhatme, Gaurav S. (2010) Geometric discretization of nonholonomic systems with symmetries. Discrete and Continuous Dynamical Systems Series S, 3 (1). pp. 61-84. ISSN 1937-1632. http://resolver.caltech.edu/CaltechAUTHORS:20100607-151910834

Marsden, Jerrold E. (2010) Geometry of Nonlinear Systems : CDS 202 lecture notes. [Teaching Resource] (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20101130-150707270

Yoshimura, Hiroaki and Jacobs, Henry and Marsden, Jerrold E. (2010) Interconnection of Dirac Structures and Lagrange-Dirac Dynamical Systems. In: Proceedings of Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 5-9 July, 2010. MTNS , Blacksburg, VA, pp. 247-252. ISBN 9789633113707 http://resolver.caltech.edu/CaltechAUTHORS:20101026-080012143

Jacobs, Henry and Nair, Sujit and Marsden, Jerrold E. (2010) Multiscale Surveillance of Riemannian Manifolds. In: 2010 American Control Conference (ACC). Proceedings of the American Control Conference . IEEE , pp. 5732-5737. ISBN 978-1-4244-7426-4 http://resolver.caltech.edu/CaltechAUTHORS:20110412-133114485

Bosanac, Natasha and Marsden, Jerrold E. and Moore, Ashley et al. (2010) Titan Trajectory Design Using Invariant Manifolds and Resonant Gravity Assists. In: Spaceflight Mechanics 2010. Advances in astronautical sciences. No.136. American Astronautical Society , San Diego, Calif., pp. 1057-1070. ISBN 9780877035602 http://resolver.caltech.edu/CaltechAUTHORS:20101006-081907422

2009

Krechetnikov, Rouslan and Marsden, Jerrold E. (2009) Dissipation-Induced Instability Phenomena in Infinite-Dimensional Systems. Archive for Rational Mechanics and Analysis, 194 (2). pp. 611-668. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20091006-160910543

Krechetnikov, R. and Marsden, J. E. (2009) On the origin and nature of finite-amplitude instabilities in physical systems. Journal of Physics A: Mathematical and Theoretical, 42 (41). Art. No. 412004. ISSN 1751-8113. http://resolver.caltech.edu/CaltechAUTHORS:20091022-143705462

Nair, Sujit and Ober-Blöbaum, Sina and Marsden, Jerrold E. (2009) The Jacobi-Maupertuis Principle in Variational Integrators. AIP Conference Proceedings, 1168 (1). pp. 464-467. ISSN 0094-243X. http://resolver.caltech.edu/CaltechAUTHORS:20100125-115309328

Bloch, Anthony M. and Brînz?nescu, Vasile and Iserles, Arieh et al. (2009) A Class of Integrable Flows on the Space of Symmetric Matrices. Communications in Mathematical Physics, 290 (2). pp. 399-435. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20090810-113731412

Tao, Molei and Owhadi, Houman and Marsden, Jerrold E. (2009) Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20111012-110532817

Krechetnikov, R. and Marsden, J. E. and Nagib, H. M. (2009) A low-dimensional model of separation bubbles. Physica D, 238 (14). pp. 1152-1160. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20090911-092714052

Yavari, Arash and Marsden, Jerrold E. (2009) Energy balance invariance for interacting particle systems. Zeitschrift für Angewandte Mathematik und Mechanik, 60 (4). pp. 723-738. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:20090904-135011987

Bloch, Anthony M. and Marsden, Jerrold E. and Zenkov, Dmitry V. (2009) Quasivelocities and symmetries in non-holonomic systems. Dynamical Systems, 24 (2). pp. 187-222. ISSN 1468-9367. http://resolver.caltech.edu/CaltechAUTHORS:20090908-083705980

Vankerschaver, Joris and Kanso, Eva and Marsden, Jerrold (2009) The geometry and dynamics of interacting rigid bodies and point vortices. Journal of Geometric Mechanics, 1 (2). pp. 223-266. ISSN 1941-4889. http://resolver.caltech.edu/CaltechAUTHORS:20091102-123126604

Yanao, Tomohiro and Koon, Wang Sang and Marsden, Jerrold E. (2009) Intramolecular energy transfer and the driving mechanisms for large-amplitude collective motions of clusters. Journal of Chemical Physics, 130 (14). p. 144111. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:20090818-113933909

Bou-Rabee, Nawaf and Marsden, Jerrold E. (2009) Hamilton?Pontryagin integrators on Lie groups part I: introduction and structure-preserving properties. Foundations of Computational Mathematics, 9 (2). pp. 197-219. ISSN 1615-3375. http://resolver.caltech.edu/CaltechAUTHORS:20090811-135447283

Du Toit, Philip and Mezi?, Igor and Marsden, Jerrold (2009) Coupled oscillator models with no scale separation. Physica D, 238 (5). pp. 490-501. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20090415-094125134

Yoshimura, Hiroaki and Marsden, Jerrold E. (2009) Dirac cotangent bundle reduction. Journal of Geometric Mechanics, 1 (1). pp. 87-158. ISSN 1941-4889. http://resolver.caltech.edu/CaltechAUTHORS:20090903-112420240

Gawlik, Evan S. and Marsden, Jerrold E. and Du Toit, Philip et al. (2009) Lagrangian coherent structures in the planar elliptic restricted three-body problem. Celestial Mechanics and Dynamical Astronomy, 103 (3). pp. 227-249. ISSN 0923-2958. http://resolver.caltech.edu/CaltechAUTHORS:20090417-120127476

Yavari, Arash and Marsden, Jerrold E. (2009) Covariant balance laws in continua with microstructure. Reports on Mathematical Physics, 63 (1). pp. 1-42. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20090804-151756303

Shadden, Shawn C. and Lekien, Francois and Paduan, Jeffrey D. et al. (2009) The correlation between surface drifters and coherent structures based on high-frequency radar data in Monterey Bay. Deep-Sea Research. Part II, Topical Studies in Oceanography, 56 (3-5). pp. 161-172. ISSN 0967-0645. http://resolver.caltech.edu/CaltechAUTHORS:20090827-100634927

Castrillón López, Marco and Gotay, Mark J. and Marsden, Jerrold E. (2009) Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor. In: Variations, Geometry and Physics. Nova Science Publishers, Inc. , pp. 117-128. ISBN 9781604569209 http://resolver.caltech.edu/CaltechAUTHORS:20100824-082328217

Gawlik, Evan S. and Marsden, Jerrold E. and Campagnola, Stefano et al. (2009) Invariant manifolds, discrete mechanics, and trajectory design for a mission to Titan. In: Spaceflight mechanics 2009. Advances in the Astronautical Sciences . Vol.134. American Astronautical Society , pp. 1887-1903. ISBN 978-0-87703-554-1 http://resolver.caltech.edu/CaltechAUTHORS:20100621-085406635

Marsden, Jerrold E. and Ratiu, Tudor S. (2009) Mechanical Systems: Symmetry and Reduction. In: Encyclopedia of Complexity and Systems Science. Vol.6/F. Springer-Verlag , New York, pp. 5482-5510. ISBN 9780387758886 http://resolver.caltech.edu/CaltechAUTHORS:20101005-095157909

Moore, Ashley and Ober-Blöbaumy, Sina and Marsden, Jerrold E. (2009) Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Discrete Mechanics and Optimal Control. In: Spaceflight Mechanics 2009. Advances in the Astronautical Sciences . Vol.134. No.part I. American Astronautical Society , San Diego, pp. 2387-2406. ISBN 978-0-87703-554-1 http://resolver.caltech.edu/CaltechAUTHORS:20101005-102338604

Xu, Zhiliang and Chen, Nan and Shadden, Shawn C. et al. (2009) Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter, 5 (4). pp. 769-779. ISSN 1744-683X. http://resolver.caltech.edu/CaltechAUTHORS:20090805-110545054

2008

Castrillón López, Marco and Marsden, Jerrold E. (2008) Covariant and dynamical reduction for principal bundle field theories. Annals of Global Analysis and Geometry, 34 (3). pp. 263-285. ISSN 0232-704X . http://resolver.caltech.edu/CaltechAUTHORS:20100726-141918698

Leyendecker, Sigrid and Marsden, Jerrold E. and Ortiz, Michael (2008) Variational integrators for constrained dynamical systems. Zeitschrift für Angewandte Mathematik und Mechanik, 88 (9). pp. 677-708. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:LEYzamm08

Marsden, Jerrold E. and Ratiu, Tudor S. (2008) Geometry and analysis in physical systems; papers presented in honour of Darryl D Holm's 60th birthday. Journal of Physics A: Mathematical and Theoretical, 41 (34). Art. No. 340301. ISSN 1751-8113. http://resolver.caltech.edu/CaltechAUTHORS:20100701-080119845

Bloch, Anthony M. and Crouch, Peter E. and Marsden, Jerrold E. et al. (2008) Optimal Control and Geodesics on Quadratic Matrix Lie Groups. Foundations of Computational Mathematics, 8 (4). pp. 469-500. ISSN 1615-3375. http://resolver.caltech.edu/CaltechAUTHORS:20100715-090459941

Zielonka, M. G. and Ortiz, M. and Marsden, J. E. (2008) Variational r-adaption in elastodynamics. International Journal for Numerical Methods in Engineering, 74 (7). pp. 1162-1197. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100917-153815166

Bou-Rabee, Nawaf M. and Marsden, Jerrold E. and Romero, Louis A. (2008) Dissipation-Induced Heteroclinic Orbits in Tippe Tops. SIAM Review, 50 (2). pp. 325-344. ISSN 0036-1445. http://resolver.caltech.edu/CaltechAUTHORS:BOUsiamrev08

Brezhneva, Olga A. and Tret'yakov, Alexey A. and Marsden, Jerrold E. (2008) Higher order implicit function theorems and degenerate nonlinear boundary-value problems. Communications Pure and Applied Analysis, 7 (2). pp. 293-315. ISSN 1534-0392. http://resolver.caltech.edu/CaltechAUTHORS:20100715-104648317

Shashikanth, Banavara N. and Sheshmani, Artan and Kelly, Scott David et al. (2008) Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape: the case of arbitrary smooth body shape. Theoretical and Computational Fluid Dynamics, 22 (1). pp. 37-64. ISSN 0935-4964. http://resolver.caltech.edu/CaltechAUTHORS:20101005-085628821

Kobilarov, Marin and Desbrun, Mathieu and Marsden, Jerrold E. et al. (2008) A Discrete Geometric Optimal Control Framework for Systems with Symmetries. In: Proceedings of Robotics: Science and Systems. MIT Press , Cambridge, Mass, pp. 161-168. http://resolver.caltech.edu/CaltechAUTHORS:20101006-094836717

Leyendecker, Sigrid and Ober-Bl?baum, S. and Marsden, Jerrold E. et al. (2008) Discrete mechanics and optimal control for constrained systems. In: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers , New York, pp. 623-632. ISBN 978-0-7918-4806-7 http://resolver.caltech.edu/CaltechAUTHORS:20101005-084114302

Castrillón López, Marco and Gotay, Mark J. and Marsden, Jerrold E. (2008) Parametrization and stress?energy?momentum tensors in metric field theories. Journal of Physics A: Mathematical and Theoretical, 41 (34). p. 344002. ISSN 1751-8113. http://resolver.caltech.edu/CaltechAUTHORS:CASjpa08

Long, D. A. and Bloch, A. M. and Marsden, J. E. et al. (2008) Relaxed matching for stabilization of relative equilibria of mechanical systems. In: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems. , Blacksburg, VA, pp. 1-12. http://resolver.caltech.edu/CaltechAUTHORS:20101006-100038652

Yoshimura, Hiroaki and Marsden, Jerrold E. (2008) Representations of Dirac Structures and Implicit Port-Controlled Lagrangian Systems. In: 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS), (2008) , July 28-August 1, 2008, Blacksburg, VA. http://resolver.caltech.edu/CaltechAUTHORS:20101008-092916554

Pekarek, David N. and Marsden, Jerrold E. (2008) Variational Collision Integrators and Optimal Control. In: Eighteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), July 28-August 1, 2008, Blacksburg, Virginia. http://resolver.caltech.edu/CaltechAUTHORS:20101028-075300929

Stern, A. and Tong, Y. and Desbrun, M. et al. (2008) Variational Integrators for Maxwell's Equations with Sources. In: PIERS 2008 Cambridge, Proceedings. Progress in Electromagnetics Research Symposium . Electromagnetics Academy , Cambridge, MA, pp. 443-447. ISBN 978-1-934142-06-6 http://resolver.caltech.edu/CaltechAUTHORS:20100722-141156887

Vankerschaver, Joris and Kanso, Eva and Marsden, Jerrold E. (2008) The motion of solid bodies in potential flow with circulation: a geometric outlook. In: Proceedings of the ASME Dynamic Systems and Control Conference 2008, Parts A and B. ASME , pp. 1067-1074. ISBN 978-0-7918-4335-2 http://resolver.caltech.edu/CaltechAUTHORS:20100614-100926632

2007

Shadden, S. C. and Katija, K. and Rosenfeld, M. et al. (2007) Transport and stirring induced by vortex formation. Journal of Fluid Mechanics, 593 . pp. 315-331. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:SHAjfm07

Yanao, Tomohiro and Koon, Wang S. and Marsden, Jerrold E. et al. (2007) Collective coordinates and the mechanism for conformational transitions of complex molecules. Proceedings in Applied Mathematics and Mechanics, 7 (1). pp. 1080503-1080504. ISSN 1617-7061. http://resolver.caltech.edu/CaltechAUTHORS:20101026-074214900

Bloch, Anthony M. and Leok, Melvin and Marsden, Jerrold E. et al. (2007) Matching and stabilization of discrete mechanical systems. Proceedings in Applied Mathematics and Mechanics, 7 (1). pp. 1030603-1030604. ISSN 1617-7061. http://resolver.caltech.edu/CaltechAUTHORS:20101005-081252716

Yoshimura, Hiroaki and Marsden, Jerrold E. (2007) Reduction of Dirac Structures and the Hamilton-Pontryagin Principle. Reports on Mathematical Physics, 60 (3). pp. 381-426. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20100917-141535653

Coulliette, Chad and Lekien, Francois and Paduan, Jeffrey D. et al. (2007) Optimal Pollution Mitigation in Monterey Bay Based on Coastal Radar Data and Nonlinear Dynamics. Environmental Science and Technology, 41 (18). pp. 6562-6572. ISSN 0013-936X. http://resolver.caltech.edu/CaltechAUTHORS:20101006-091957268

Kanso, Eva and Arroyo, Marino and Tong, Yiying et al. (2007) On the geometric character of stress in continuum mechanics. Zeitschrift für Angewandte Mathematick und Physik, 58 (5). pp. 843-856. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:20100819-135811591

Lekien, Francois and Shadden, Shawn C. and Marsden, Jerrold E. (2007) Lagrangian coherent structures in n-dimensional systems. Journal of Mathematical Physics, 48 (6). Art. No. 065404. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:LEKjmp07

Krechetnikov, R. and Marsden, J. E. (2007) Dissipation-induced instabilities in finite dimensions. Reviews of Modern Physics, 79 (2). pp. 519-553. ISSN 0034-6861. http://resolver.caltech.edu/CaltechAUTHORS:KRErmp07

Yanao, Tomohiro and Koon, Wang S. and Marsden, Jerrold E. et al. (2007) Gyration-radius dynamics in structural transitions of atomic clusters. Journal of Chemical Physics, 126 (12). Art. No. 124102. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:YANjcp07

Yoshimura, Hiroaki and Marsden, Jerrold E. (2007) Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems. In: Lagrangian and Hamiltonian methods for nonlinear control 2006: Proceedings from the 3rd IFAC workshop. Lecture Notes in Control and Information. No.366. Berlin : Springer , Nagoya-Japan, pp. 233-247. ISBN 9783540738893 http://resolver.caltech.edu/CaltechAUTHORS:20100917-135750637

Pekarek, David and Ames, Aaron D. and Marsden, Jerrold E. (2007) Discrete Mechanics and Optimal Control Applied to the Compass Gait Biped. In: 46th IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 5376-5382. ISBN 978-1-4244-1497-0 http://resolver.caltech.edu/CaltechAUTHORS:20101005-121327216

2006

Yoshimura, Hiroaki and Marsden, Jerrold E. (2006) Dirac Structures in Lagrangian Mechanics. Part I: Implicit Lagrangian Systems. Journal of Geometry and Physics, 57 (1). pp. 133-156. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100917-131813412

Yoshimura, Hiroaki and Marsden, Jerrold E. (2006) Dirac structures in Lagrangian mechanics. Part II: Variational structures. Journal of Geometry and Physics, 57 (1). pp. 209-250. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100917-130658487

Marsden, Jerrold E. (2006) The Influence of G&H on Nonlinear Dynamics. Journal of Computational and Nonlinear Dynamics, 1 (4). pp. 275-276. ISSN 1555-1423. http://resolver.caltech.edu/CaltechAUTHORS:20101001-151351239

Gabern, F. and Koon, W. S. and Marsden, Jerrold E. et al. (2006) Application of Tube Dynamics to Non-Statistical Reaction Processes. Few-Body Systems, 38 (2-4). pp. 167-172. ISSN 0177-7963 . http://resolver.caltech.edu/CaltechAUTHORS:20101001-154821335

Yanao, T. and Koon, W. S. and Marsden, J. E. (2006) Mass-Related Dynamical Barriers in Triatomic Reactions. Few-Body Systems, 38 (2-4). pp. 161-166. ISSN 0177-7963 . http://resolver.caltech.edu/CaltechAUTHORS:20101006-083122185

Jalnapurkar, Sameer M. and Leok, Melvin and Marsden, Jerrold E. et al. (2006) Discrete Routh reduction. Journal of Physics A: Mathematical and General, 39 (19). pp. 5521-5544. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:JALjpa06

Yanao, Tomohiro and Koon, Wang S. and Marsden, Jerrold E. (2006) Mass effects and internal space geometry in triatomic reaction dynamics. Physical Review A, 73 (5). Art. No. 052704. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:YANpra06b

Gabern, Frederic and Koon, Wang S. and Marsden, Jerrold E. (2006) Parking a Spacecraft near an Asteroid Pair. Journal of Guidance Control and Dynamics , 29 (3). pp. 544-553. ISSN 0731-5090. http://resolver.caltech.edu/CaltechAUTHORS:20101005-075909228

Shadden, Shawn C. and Dabiri, John O. and Marsden, Jerrold E. (2006) Lagrangian analysis of fluid transport in empirical vortex ring flows. Physics of Fluids, 18 (4). Art. No. 047105. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:SHApof06b

Yavari, Arash and Marsden, Jerrold E. and Ortiz, Michael (2006) On spatial and material covariant balance laws in elasticity. Journal of Mathematical Physics, 47 (4). Art. No. 042903. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:YAVjmp06

Afshari, E. and Bhat, H. S. and Hajimiri, A. et al. (2006) Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines. Journal of Applied Physics, 99 (5). Art. No. 054901. ISSN 0021-8979. http://resolver.caltech.edu/CaltechAUTHORS:AFSjap06

Krechetnikov, R. and Marsden, J. E. (2006) On destabilizing effects of two fundamental non-conservative forces. Physica D, 214 (1). pp. 25-32. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100820-095943544

Bloch, Anthony M. and Leok, Melvin and Marsden, Jerrold E. et al. (2006) Controlled Lagrangians and Stabilization of the Discrete Cart-Pendulum System. In: 44th IEEE Conference on Decision and Control & European Control Conference. IEEE , Piscataway, NJ, pp. 6579-6584. ISBN 0-7803-9567-0 http://resolver.caltech.edu/CaltechAUTHORS:20101001-143905956

Gabern, F. and Koon, W. S. and Marsden, J. E. et al. (2006) Binary Asteroid Observation Orbits from a Global Dynamical Perspective. SIAM Journal on Applied Dynamical Systems, 5 (2). pp. 252-279. ISSN 1536-0040. http://resolver.caltech.edu/CaltechAUTHORS:GABsiamjads06

Bloch, Anthony M. and Marsden, Jerrold E. and Leok, Melvin et al. (2006) Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems. In: Proceedings of the 45th IEEE Conference on Decision and Control. IEEE Conference on Decision and Control . Piscataway, NJ , IEEE, pp. 3333-3338. ISBN 978-1-4244-0170-3 http://resolver.caltech.edu/CaltechAUTHORS:20101008-090656626

Yoshimura, Hiroaki and Marsden, Jerrold E. (2006) Dirac Structures and Implicit Lagrangian Systems in Electric Networks. In: roceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. , Kyoto, Japan, pp. 1444-1449. http://resolver.caltech.edu/CaltechAUTHORS:20101006-154047198

Kharevych, L. and Wei, W. and Tong, Y. et al. (2006) Geometric, Variational Integrators for Computer Animation. In: Computer animation 2006 : ACM SIGGRAPH / Eurographics Symposium Proceedings : Vienna, Austria September 2 - 4, 2006. Eurographics Association , Aire-la-Ville, Switzerland, pp. 43-51. ISBN 9783905673340 http://resolver.caltech.edu/CaltechAUTHORS:20101005-093706360

Marsden, Jerrold E. and Ross, Shane D. (2006) New methods in celestial mechanics and mission design. Bulletin of the American Mathematical Society, 43 (1). pp. 43-73. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:MARbams06

Junge, Oliver and Marsden, Jerrold E. and Ober-Blöbaum, Sina (2006) Optimal Reconfiguration of Formation Flying Spacecraft--a Decentralized Approach. In: Proceedings of the 45th IEEE Conference on Decision and Control. IEEE Conference on Decision and Control . IEEE , Piscataway, NJ, pp. 5210-5215. ISBN 978-1-4244-0170-3 http://resolver.caltech.edu/CaltechAUTHORS:20101007-142635579

2005

Shadden, Shawn C. and Lekien, Francois and Marsden, Jerrold E. (2005) Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D, 212 (3-4). pp. 271-304. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100914-104231365

Gabern, Frederic and Koon, Wang S. and Marsden, Jerrold E. et al. (2005) Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom. Physica D, 211 (3-4). pp. 391-406. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100809-101747013

Lekien, Francois and Coulliette, Chad and Mariano, Arthur J. et al. (2005) Pollution release tied to invariant manifolds: A case study for the coast of Florida. Physica D, 210 (1-2). pp. 1-20. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100823-074611526

Bou-Rabee, Nawaf M. and Marsden, Jerrold E. and Romero, Louis A. (2005) A geometric treatment of Jellett?s egg. ZAMM - Journal of Applied Mathematics, 85 (9). pp. 618-642. ISSN 0044-2267. http://resolver.caltech.edu/CaltechAUTHORS:20100715-101709674

Kanso, E. and Marsden, J. E. and Rowley, C. W. et al. (2005) Locomotion of Articulated Bodies in a Perfect Fluid. Journal of Nonlinear Science, 15 (4). pp. 255-289. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20100819-133718721

Dellnitz, Michael and Junge, Oliver and Lo, Martin W. et al. (2005) Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters, 94 (23). Art. No. 231102. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:DELprl05

Desbrun, Mathieu and Leok, Melvin and Marsden, Jerrold E. (2005) Discrete Poincaré Lemma. Applied Numerical Mathematics, 53 (2-4). pp. 231-248. ISSN 0168-9274. http://resolver.caltech.edu/CaltechAUTHORS:DESanm05

Lekien, F. and Marsden, J. (2005) Tricubic interpolation in three dimensions. International Journal for Numerical Methods in Engineering, 63 (3). pp. 455-471. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100823-110032644

Hernández-Garduño, Antonio and Marsden, J. E. (2005) Regularization of the Amended Potential and the Bifurcation of Relative Equilibria. Journal of Nonlinear Science, 15 (2). pp. 93-132. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20100810-151931387

Bhat, H. S. and Fetecau, R. C. and Marsden, J. E. et al. (2005) Lagrangian Averaging for Compressible Fluids. Multiscale Modeling and Simulation, 3 (4). pp. 818-837. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:BHAmms05

Hernández-Garduño, Antonio and Lawson, Jeffrey K. and Marsden, Jerrold E. (2005) Relative equilibria for the generalized rigid body. Journal of Geometry and Physics, 53 (3). pp. 259-274. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100810-145729296

Cendra, Hernán and Marsden, Jerrold E. (2005) Geometric Mechanics and the Dynamics of Asteroid Pairs. Dynamical Systems, 20 (1). pp. 3-21. ISSN 1468-9367. http://resolver.caltech.edu/CaltechAUTHORS:20100727-082016639

Bloch, Anthony M. and Marsden, Jerrold E. and Zenkov, Dmitry V. (2005) Nonholonomic Dynamics. Notices of the American Mathematical Society, 52 (3). pp. 320-329. ISSN 0002-9920. http://resolver.caltech.edu/CaltechAUTHORS:20100715-083902791

Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang et al. (2005) Transport in dynamical astronomy and multibody problems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 15 (3). pp. 699-727. ISSN 0218-1274. http://resolver.caltech.edu/CaltechAUTHORS:DELijbc05

Vasylkevych, Sergiy and Marsden, Jerrold E. (2005) The Lie-Poisson Structure of the Euler Equations of an Ideal Fluid. Dynamics of Partial Differential Equations, 2 (4). pp. 281-300. ISSN 1548-159X. http://resolver.caltech.edu/CaltechAUTHORS:20100917-074331134

Kanso, Eva and Marsden, Jerrold E. (2005) Optimal Motion of an Articulated Body in a Perfect Fluid. In: 2005 44th IEEE Conference on Decision and Control & European Control Conference. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ. ISBN 0-7803-9567-0 http://resolver.caltech.edu/CaltechAUTHORS:20101005-092345557

Inanc, Tamer and Shadden, Shawn C. and Marsden, Jerrold E. (2005) Optimal trajectory generation in ocean flows. In: Proceedings of the 2005 American Control Conference. Proceedings of the American Control Conference. American Automatic Control Council , Evanston, IL, pp. 674-679. ISBN 0-7803-9098-9 http://resolver.caltech.edu/CaltechAUTHORS:20101007-075448595

Dellnitz, M. and Grubits, K. A. and Marsden, J. E. et al. (2005) Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields. Regular and Chaotic Dynamics, 10 (2). pp. 173-192. ISSN 1560-3547. http://resolver.caltech.edu/CaltechAUTHORS:20100802-071646308

Gabern, F. and Koon, W. S. and Marsden, J. E. (2005) Spacecraft dynamics near a binary asteroid. Discrete and Continuous Dynamical Systems, 2005 (Supple). pp. 297-306. ISSN 1078-0947. http://resolver.caltech.edu/CaltechAUTHORS:20100921-140434645

2004

Lekien, F. and Coulliette, C. and Bank, R. et al. (2004) Open-boundary modal analysis: Interpolation, extrapolation, and filtering. Journal of Geophysical Research C, 109 (C12). Art. No. C12004. ISSN 0148-0227. http://resolver.caltech.edu/CaltechAUTHORS:20101006-101734628

Junge, Oliver and Marsden, Jerrold E. and Mezic, Igor (2004) Uncertainty in the dynamics of conservative maps. In: IEEE Conference on Decision and Control, 43rd (CDC 2004), Nassau, Bahamas, 14-17 December 2004. Vol.2. IEEE , Piscataway, NJ, pp. 2225-2230. ISBN 0-7803-8682-5 http://resolver.caltech.edu/CaltechAUTHORS:JUNcdc04

Holm, Darryl D. and Marsden, Jerrold E. (2004) Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation. In: The Breadth of Symplectic and Poisson Geometry. Progress in Mathematics. No.232. Birkhäuser Boston , pp. 203-235. ISBN 0817635653 http://resolver.caltech.edu/CaltechAUTHORS:20100810-153020247

Gomez, G. and Koon, W. S. and Lo, M. W. et al. (2004) Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Nonlinearity, 17 (5). pp. 1571-1606. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:GOMnonlin04

Chang, Dong Eui and Marsden, Jerrold E. (2004) Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry. SIAM Journal on Control and Optimization, 43 (1). pp. 277-300. ISSN 0363-0129. http://resolver.caltech.edu/CaltechAUTHORS:CHAsiamjco04

Lew, A. and Marsden, J. E. and Ortiz, M. et al. (2004) Variational time integrators. International Journal for Numerical Methods in Engineering, 60 (1). pp. 153-212. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100824-071747459

Koon, Wang Sang and Marsden, Jerrold E. and Ross, Shane et al. (2004) Geometric Mechanics and the Dynamics of Asteroid Pairs. In: Astrodynamics, space missions, and chaos. Annals of the New York Academy of Sciences. No.1017. New York Academy of Sciences , New York, pp. 11-38. ISBN 9781573315135 http://resolver.caltech.edu/CaltechAUTHORS:20101015-093844631

Vela-Arevalo, Luz V. and Marsden, Jerrold E. (2004) Time-frequency analysis of the restricted three-body problem: transport and resonance transitions. Classical and Quantum Gravity, 21 (3). S351-S375. ISSN 0264-9381. http://resolver.caltech.edu/CaltechAUTHORS:VELcqg04

Ross, S. D. and Koon, W. S. and Lo, M. W. et al. (2004) Application of dynamical systems theory to a very low energy transfer. In: AAS/AIAA Spaceflight Mechanics Meeting 2004. Advances in the Astronautical Sciences. No.119. American Astronautical Society , San Diego, pp. 2991-3003. ISBN 978-0-87703-515-2 http://resolver.caltech.edu/CaltechAUTHORS:20101005-100555629

Woolsey, Craig and Reddy, Chevva Konda and Bloch, Anthony M. et al. (2004) Controlled Lagrangian systems with gyroscopic forcing and dissipation. European Journal of Control, 10 (5). pp. 478-496. ISSN 0947-3580. http://resolver.caltech.edu/CaltechAUTHORS:WOOejc04

Zhao, Hongwu and Mohseni, Kamran and Marsden, Jerrold E. (2004) Dynamic modeling of ? in the isotropic lagrangian averaged navier-stokes-? equations. In: Proceedings of the ASME Fluids Engineering Division--2004 $h [electronic resource] : presented at 2004 ASME International Mechanical Engineering Congress and Exposition : November 13-19, 2004, Anaheim, California, USA. FED (Series). No.260. ASME , New York, pp. 1-9. ISBN 0791847098 http://resolver.caltech.edu/CaltechAUTHORS:20101026-142628970

Lew, Adrian and Marsden, Jerrold E. and Ortiz, Michael et al. (2004) An Overview of Variational Integrators. In: Finite Element Methods: 1970?s and Beyond. Theory and engineering applications of computational methods. International Center for Numerical Methods in Engineering (CIMNE) , Barcelona, pp. 1-18. ISBN 9788495999498 http://resolver.caltech.edu/CaltechAUTHORS:20101005-091206576

Bou-Rabee, Nawaf M. and Marsden, Jerrold E. and Romero, Louis A. (2004) Tippe Top Inversion as a Dissipation-Induced Instability. SIAM Journal on Applied Dynamical Systems, 3 (3). pp. 352-377. ISSN 1536-0040. http://resolver.caltech.edu/CaltechAUTHORS:BOUsiamjads04

2003

Chang, Dong Eui and Shadden, Shawn C. and Marsden, Jerrold E. et al. (2003) Collision avoidance for multiple agent systems. In: Proceedings of the 42nd IEEE Conference on Decision and Control, December 9-12, 2003, Maui, HI, USA. IEEE , Los Alamitos, CA, pp. 539-543. ISBN 0-7803-7924-1 http://resolver.caltech.edu/CaltechAUTHORS:CHAcdc03

Tret'yakov, Alexey and Marsden, Jerrold E. (2003) Factor-Analysis of nonlinear mappings: p-regularity theory. Communications on Pure and Applied Analysis, 2 (4). pp. 425-445. ISSN 1534-0392 . http://resolver.caltech.edu/CaltechAUTHORS:20100916-153938212

Shashikanth, Banavara N. and Marsden, Jerrold E. (2003) Leapfrogging vortexrings: Hamiltonian structure, geometric phases and discrete reduction. Fluid Dynamics Research, 33 (4). pp. 333-356. ISSN 0169-5983 . http://resolver.caltech.edu/CaltechAUTHORS:20100914-111932765

Castrillón López, Marco and Marsden, Jerrold E. (2003) Some remarks on Lagrangian and Poisson reduction for field theories. Journal of Geometry and Physics, 48 (1). pp. 52-83. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100726-140606690

Lall, Sanjay and Krysl, Petr and Marsden, Jerrold E. (2003) Structure-preserving model reduction for mechanical systems. Physica D, 184 (1-4). pp. 304-318. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100823-065644954

Cendra, Hernán and Marsden, Jerrold E. and Pekarsky, Sergey et al. (2003) Variational Principles for Lie?Poisson and Hamilton?Poincaré Equations. Moscow Mathematical Journal, 3 (3). pp. 833-867. ISSN 1609-3321. http://resolver.caltech.edu/CaltechAUTHORS:20100727-093528997

Lekien, Francois and Coulliette, Chad and Marsden, Jerry (2003) Lagrangian Structures in Very High-Frequency Radar Data and Optimal Pollution Timing. In: Experimental Chaos. AIP Conference Proceedings. No.676. American Institute of Physics , Melville, NY, pp. 162-168. ISBN 0-7354-0145-4 http://resolver.caltech.edu/CaltechAUTHORS:20111010-085707360

Lekien, Francois and Coulliette, Chad and Marsden, Jerry (2003) Lagrangian Structures in Very High-Frequency Radar Data and Optimal Pollution Timing. In: Experimental chaos : 7th Experimental Chaos Conference, San Diego, California, 26-29 August 2002. American Institute of Physics Conference Proceedings. No.676. American Institute of Physics , Melville, NY, pp. 162-168. ISBN 0-7354-0145-4 http://resolver.caltech.edu/CaltechAUTHORS:LEKaipcp03

Hernán, Cendra and Marsden, Jerrold E. and Pekarsky, Sergey et al. (2003) Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Moscow Mathematical Journal, 3 (3). pp. 833-867. ISSN 1609-3321. http://resolver.caltech.edu/CaltechAUTHORS:20101004-155049051

Chang, Dong Eui and Marsden, Jerrold E. (2003) Geometric Derivation of the Delaunay Variables and Geometric Phases. Celestial Mechanics and Dynamical Astronomy, 86 (2). pp. 185-208. ISSN 0923-2958. http://resolver.caltech.edu/CaltechAUTHORS:20100730-131231526

Lew, A. and Marsden, J. E. and Ortiz, M. et al. (2003) Asynchronous Variational Integrators. Archive for Rational Mechanics and Analysis, 167 (2). pp. 85-146. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100823-112128812

Mohseni, Kamran and Kosovic, Branko and Shkoller, Steve et al. (2003) Numerical simulations of the Lagrangian averaged Navier?Stokes equations for homogeneous isotropic turbulence. Physics of Fluids, 15 (2). pp. 524-544. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:MOHpof03

Rowley, Clarence W. and Kevrekidis, Ioannis G. and Marsden, Jerrold E. et al. (2003) Reduction and reconstruction for self-similar dynamical systems. Nonlinearity, 16 (4). pp. 1257-1275. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:ROWnonlin03

Marsden, Jerrold E. and Shkoller, Steve (2003) The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations. Archive for Rational Mechanics and Analysis, 166 (1). pp. 27-46. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100909-114244082

Cendra, Hernán and Marsden, Jerrold and Ratiu, Tudor S. (2003) Cocycles, compatibility, and Poisson brackets for complex fluids. In: Advances in Multifield Theories for Continua with Substructure. Modeling and Simulation in Science, Engineering & Technology. , Boston, pp. 51-73. ISBN 0817643249 http://resolver.caltech.edu/CaltechAUTHORS:20100727-141455241

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (2003) Controlled Lagrangian Methods and Tracking of Accelerated Motions. In: Proceedings of the 42nd IEEE Conference on Decision and Control. Vol.1. IEEE , pp. 533-538. ISBN 0-7803-7924-1 http://resolver.caltech.edu/CaltechAUTHORS:20101026-112031928

Ross, S. D. and Koon, W. S. and Lo, M. W. et al. (2003) Design of a Multi-Moon Orbiter. In: Spaceflight Mechanics 2003. Advances in the Astronautical Sciences. No.114. American Astronautical Society , San Diego, pp. 669-683. ISBN 978-0-87703-504-6 http://resolver.caltech.edu/CaltechAUTHORS:20101007-131136558

Desbrun, Mathieu and Hirani, Anil N. and Marsden, Jerrold E. (2003) Discrete exterior calculus for variational problems in computer vision and graphics. In: 42nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 4902-4907. ISBN 0-7803-7924-1 http://resolver.caltech.edu/CaltechAUTHORS:20101006-135824720

Chang, Dong Eui and Marsden, Jerrold E. (2003) Gyroscopic Forces and Collision Avoidance with Convex Obstacles. In: New Trends in Nonlinear Dynamics and Control and their Applications. Lecture Notes in Control and Information Sciences. Vol.295. Springer Berlin , pp. 145-159. ISBN 9783540404743 http://resolver.caltech.edu/CaltechAUTHORS:20100730-114620195

Gómez, G. and Koon, W. S. and Lo, M. W. et al. (2003) Invariant Manifolds, the Spatial Three-Body Problem and Petit Grand Tour of Jovian Moons. In: Libration point orbits and applications. World Scientific , River Edge, NJ, pp. 587-601. ISBN 981-238-363-8 http://resolver.caltech.edu/CaltechAUTHORS:20101006-080347610

Fetecau, R. C. and Marsden, J. E. and Ortiz, M. et al. (2003) Nonsmooth Lagrangian mechanics and variational collision integrators. SIAM Journal on Applied Dynamical Systems, 2 (3). pp. 381-416. ISSN 1536-0040. http://resolver.caltech.edu/CaltechAUTHORS:FETsiamjads03

Fetecau, R. C. and Marsden, Jerrold E. and West, M. (2003) Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics. In: Perspectives and problems in nonlinear science : a celebratory volume in honor of Lawrence Sirovich. Springer-Verlag , New York, pp. 229-262. ISBN 9780387003122 http://resolver.caltech.edu/CaltechAUTHORS:20100920-071530028

2002

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (2002) Flat Nonholonomic Matching. In: Proceedings of the 2002 American Control Conference. Proceedings of the American Control Conference. IEEE , Piscataway, NJ, pp. 2812-2817. ISBN 0-7803-7298-0 http://resolver.caltech.edu/CaltechAUTHORS:20101026-105937515

Jaffé, Charles and Ross, Shane D. and Lo, Martin W. et al. (2002) Statistical Theory of Asteroid Escape Rates. Physical Review Letters, 89 (1). Art. No. 011101. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:JAFprl02

Bloch, Anthony M. and Crouch, Peter E. and Marsden, Jerrold E. et al. (2002) The symmetric representation of the rigid body equations and their discretization. Nonlinearity, 15 (4). pp. 1309-1341. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:BLOnonlin02

Chang, Dong Eui and Bloch, Anthony M. and Leonard, Naomi E. et al. (2002) The equivalence of controlled Lagrangian and controlled Hamiltonian systems. ESAIM: Control, Optimisation and Calculus of Variations, 8 (Specia). pp. 393-422. ISSN 1262-3377. http://resolver.caltech.edu/CaltechAUTHORS:20100727-152201641

Lall, Sanjay and Marsden, Jerrold E. and Glava?ki, Sonja (2002) A subspace approach to balanced truncation for model reduction of nonlinear control systems. International Journal of Robust and Nonlinear Control, 12 (6). pp. 519-535. ISSN 1049-8923 . http://resolver.caltech.edu/CaltechAUTHORS:20100823-072914231

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (2002) The Lyapunov-Malkin Theorem and Stabilization of the Unicycle with Rider. Systems and Control Letters, 45 (4). pp. 293-302. ISSN 0167-6911. http://resolver.caltech.edu/CaltechAUTHORS:20100917-151701120

Serban, Radu and Koon, Wang S. and Lo, Martin W. et al. (2002) Halo orbit mission correction maneuvers using optimal control. Automatica, 38 (4). pp. 571-583. ISSN 0005-1098. http://resolver.caltech.edu/CaltechAUTHORS:20100914-095842464

Pandolfi, A. and Kane, C. and Marsden, J. E. et al. (2002) Time-discretized variational formulation of non-smooth frictional contact. International Journal for Numerical Methods in Engineering, 53 (8). pp. 1801-1829. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100913-101405977

Shashikanth, Banavara N. and Marsden, Jerrold E. and Burdick, Joel W. et al. (2002) The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices. Physics of Fluids, 14 (3). pp. 1214-1227. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:SHApof02

Chang, Dong Eui and Chichka, David F. and Marsden, Jerrold E. (2002) Lyapunov-based transfer between elliptic Keplerian orbits. Discreet and Continuous Dynamical Systems Series B, 2 (1). pp. 57-67. ISSN 1531-3492 . http://resolver.caltech.edu/CaltechAUTHORS:20100728-074530525

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (2002) The Euler-Poincaré Equations in Geophysical Fluid Dynamics. In: Large-scale Atmosphere-ocean Dynamics II: Geometric methods and models. Vol.2. Cambridge University Press , Cambridge [England], pp. 251-300. ISBN 0521807573 http://resolver.caltech.edu/CaltechAUTHORS:20100909-094611543

Rowley, Clarence W. and Marsden, Jerrold E. (2002) Variational integrators for degenerate Lagrangians, with application to point vortices. In: Proceedings of the 41st IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 1521-1527. ISBN 0-7803-7516-5 http://resolver.caltech.edu/CaltechAUTHORS:20101007-083427136

2001

Clerc, Marcel G. and Marsden, Jerrold E. (2001) Dissipation-induced instabilities in an optical cavity laser: A mechanical analog near the 1:1 resonance. Physical Review E, 64 (6). Art. No. 067603. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:CLEpre01

Woolsey, C. A. and Bloch, A. M. and Leonard, N. E. et al. (2001) Dissipation and Controlled Euler-Poincaré Systems. In: Proceedings of the 40th IEEE Conference on Decision and Control, 2001. Vol.4. IEEE , Piscataway, NJ, pp. 3378-3383. ISBN 0780370619 http://resolver.caltech.edu/CaltechAUTHORS:20101025-103909189

Bloch, Anthony M. and Chang, Dong Eui and Leonard, Naomi Ehrich et al. (2001) Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping. IEEE Transactions on Automatic Control, 46 (10). pp. 1556-1571. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:BLOieeetac01

Koon, W. S. and Lo, M. W. and Marsden, J. E. et al. (2001) Low Energy Transfer to the Moon. Celestial Mechanics and Dynamical Astronomy, 81 (1-2). pp. 63-73. ISSN 0923-2958. http://resolver.caltech.edu/CaltechAUTHORS:20100820-075428712

Koon, W. S. and Lo, M. W. and Marsden, J. E. et al. (2001) Resonance and Capture of Jupiter Comets. Celestial Mechanics and Dynamical Astronomy, 81 (1-2). pp. 27-38. ISSN 0923-2958. http://resolver.caltech.edu/CaltechAUTHORS:20100820-074429026

Marsden, Jerrold E. and Shkoller, Steve (2001) Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-?) equations on bounded domains. Philosophical Transactions of the Royal Society of London. Series A, Mathematical, Physical, and Engineering Sciences, 359 (1784). pp. 1449-1468. ISSN 1364-503X . http://resolver.caltech.edu/CaltechAUTHORS:20101005-112356720

Marsden, Jerrold E. and Shkoller, Steve (2001) Global well?posedness for the Lagrangian averaged Navier?Stokes (LANS??) equations on bounded domains. Philosophical Transactions of the Royal Society of London. Series A, Mathematical, Physical, and Engineering Sciences, 359 (1784). pp. 1449-1468. ISSN 1364-503X . http://resolver.caltech.edu/CaltechAUTHORS:20100909-085510720

Alber, Mark S. and Camassa, Roberto and Fedorov, Yuri N. et al. (2001) The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE?s of Shallow Water and Dym Type. Communications in Mathematical Physics, 221 (1). pp. 197-227. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100701-142257310

Cendra, Hernán and Marsden, Jerrold E. and Ratiu, Tudor S. (2001) Lagrangian Reduction by Stages. Memoirs of the American Mathematical Society, 152 (722). pp. 1-108. ISSN 0065-9266. http://resolver.caltech.edu/CaltechAUTHORS:20100727-102455039

Krysl, P. and Lall, S. and Marsden, J. E. (2001) Dimensional model reduction in non-linear finite element dynamics of solids and structures. International Journal for Numerical Methods in Engineering, 51 (4). pp. 479-504. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100820-113408535

Marsden, Jerrold E. and Pekarsky, Sergey and Shkoller, Steve et al. (2001) Variational methods, multisymplectic geometry and continuum mechanics. Journal of Geometry and Physics, 38 (3-4). pp. 253-284. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100903-104102896

Marsden, J. E. and West, M. (2001) Discrete mechanics and variational integrators. Act Numerica, 10 (5). pp. 357-514. http://resolver.caltech.edu/CaltechAUTHORS:20100910-151730942

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, Jerrold E. (2001) Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. International Journal of Robust and Nonlinear Control, 11 (3). pp. 191-214. ISSN 1049-8923 . http://resolver.caltech.edu/CaltechAUTHORS:20100714-114021382

Pekarsky, Sergey and Marsden, Jerrold E. (2001) Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds. Journal of Applied Mathematics , 1 (1). pp. 1-28. ISSN 1110-757X. http://resolver.caltech.edu/CaltechAUTHORS:20100913-103504526

Hirani, Anil N. and Marsden, Jerrold E. and Arvo, James (2001) Averaged Template Matching Equations. In: Energy minimization methods in computer vision and pattern recognition. Lecture notes in computer science. No.2134. Springer , Berlin, pp. 528-543. ISBN 3-540-42523-3 http://resolver.caltech.edu/CaltechAUTHORS:20101007-085033743

Koon, Wang S. and Lo, Martin W. and Marsden, Jerrold E. et al. (2001) Constructing a Low Energy Transfer Between Jovian Moons. Contemporary Mathematics, 292 . pp. 129-146. ISSN 0271-4132 . http://resolver.caltech.edu/CaltechAUTHORS:20100820-081432003

Cendra, Hernán and Marsden, Jerrold E. and Ratiu, Tudor S. (2001) Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems. In: Mathematics Unlimited - 2001 and Beyond. Springer-Verlag , New York, pp. 221-273. ISBN 9783540669135 http://resolver.caltech.edu/CaltechAUTHORS:20100727-132349494

Gómez, G. and Koon, W. S. and Lo, M. W. et al. (2001) Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design. In: Astrodynamics 2001. Advances in Astronautical Sciences. No.109. American Astronautical Society , San Diego, pp. 3-22. ISBN 0-87703-488-5 http://resolver.caltech.edu/CaltechAUTHORS:20101007-081509793

Koon, Wang Sang and Marsden, Jerrold E. and Murray, Richard M. et al. (2001) J_2 Dynamics and Formation Flight. In: Proceedings of AIAA Guidance, Navigation, and Control Conference, 2001. American Institute of Aeronautics and Astronautics , Reston, VA, pp. 1-7. ISBN 9781563474835 http://resolver.caltech.edu/CaltechAUTHORS:20101008-094957238

Mohseni, Kamran and Shkoller, Steve and Kosovi?, Branko et al. (2001) Numerical Simulations of the Lagrangian Averaged Navier-Stokes (Lans-?) Equations for Forced Homogeneous Isotropic Turbulence. In: A Collection of the 15th Computational Fluid Dynamics Conference Technical Papers. American Institute of Aeronautics and Astronautics , Reston, VA, pp. 1-11. ISBN 978-1-56347-482-8 http://resolver.caltech.edu/CaltechAUTHORS:20101006-144349106

Woolsey, C. A. and Bloch, A. M. and Leonard, N. E. et al. (2001) Physical Dissipation and the Method of Controlled Lagrangians. In: ECC '01 : proceedings. European Union Control Association , Porto, Portugal, pp. 2570-2575. http://resolver.caltech.edu/CaltechAUTHORS:20101005-151547749

Marsden, Jerrold E. and Weinstein, Alan J. (2001) Some Comments on the History, Theory, and Applications of Symplectic Reduction. In: Quantization of Singular Symplectic Quotients. Progress in mathematics . No.198. Birkhäuser Basel , Boston, pp. 1-20. ISBN 3764366087 http://resolver.caltech.edu/CaltechAUTHORS:20100913-083049249

2000

Kane, C. and Marsden, J. E. and Ortiz, M. et al. (2000) Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems. International Journal for Numerical Methods in Engineering, 49 (10). pp. 1295-1325. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100819-120143013

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, Jerrold E. (2000) Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem. IEEE Transactions on Automatic Control, 45 (12). pp. 2253-2270. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:BLOieeetac00

Mohseni, Kamran and Shkoller, Steve and Kosovi?, Branko et al. (2000) Numerical Simulations of Homogeneous Turbulence using Lagrangian-Averaged Navier-Stokes Equations. In: Studying turbulence using numerical simulation databases, VIII : Proceedings of the 2000 Summer Program. Center for Turbulence Research , Stanford, CA, pp. 271-283. http://resolver.caltech.edu/CaltechAUTHORS:20101007-091554271

Marsden, Jerrold E. and Pekarsky, Sergey and Shkoller, Steve (2000) Symmetry reduction of discrete Lagrangian mechanics on Lie groups. Journal of Geometry and Physics, 36 (1-2). pp. 140-151. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100903-092444291

Jalnapurkar, Sameer M. and Marsden, Jerrold E. (2000) Reduction of Hamilton's variational principle. Dynamics and Stability of Systems, 15 (3). pp. 287-318. ISSN 1465-3389. http://resolver.caltech.edu/CaltechAUTHORS:20100819-111345038

West, M. and Kane, C. and Marsden, J. E. et al. (2000) Variational integrators, the Newmark scheme, and dissipative systems. In: Equadiff 99, International Conference on Differential Equations,. Singapore : World Scientific , pp. 1009-1011. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847

Rowley, Clarence W. and Marsden, Jerrold E. (2000) Reconstruction Equations and the Karhunen-Loève Expansion for Systems with Symmetry. Physica D, 142 (1-2). pp. 1-19. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20101025-090642137

Rowley, Clarence W. and Marsden, Jerrold E. (2000) Reconstruction equations and the Karhunen?Loève expansion for systems with symmetry. Physica D, 142 (1-2). pp. 1-19. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100913-105958467

Jalnapurkar, Sameer M. and Marsden, Jerrold E. (2000) Stabilization of relative equilibria. IEEE Transactions on Automatic Control, 45 (8). pp. 1483-1491. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:JALieeetac00

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. et al. (2000) Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Chaos, 10 (2). pp. 427-469. ISSN 1054-1500. http://resolver.caltech.edu/CaltechAUTHORS:KOOcha00

Kane , C. and Marsden, J. E. and Ortiz, M. et al. (2000) Frictional Collisions Off Sharp Objects. In: International Conference on Differential Equations. World Scientific , pp. 979-984. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100819-113606661

Luther, G. G. and Alber, M. S. and Marsden, J. E. et al. (2000) Geometric analysis of optical frequency conversion and its control in quadratic nonlinear media. Journal of the Optical Society of America B, 17 (6). pp. 932-941. ISSN 0740-3224. http://resolver.caltech.edu/CaltechAUTHORS:LUTjosab00

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. et al. (2000) Heteroclinic Connections Between Periodic Orbits and Resonance Transitions in Celestial Mechanics. Chaos, 10 (2). pp. 427-469. ISSN 1054-1500. http://resolver.caltech.edu/CaltechAUTHORS:20111207-105304153

Marsden, Jerrold E. and Ratiu, Tudor S. and Scheurle, Jürgen (2000) Reduction theory and the Lagrange?Routh equations. Journal of Mathematical Physics, 41 (6). pp. 3379-3429. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20101005-152140019

Bloch, Anthony M. and Chang, Dong Eui and Leonard, Naomi E. et al. (2000) Asymptotic stabilization of Euler-Poincaré mechanical systems. In: Lagrangian and Hamiltonian methods for nonlinear control. IFAC Workshop Series. Pergamon Press , Oxford, pp. 51-56. ISBN 0-08-043658-7 http://resolver.caltech.edu/CaltechAUTHORS:20101004-143416097

Chang, Dong Eui and Marsden, Jerrold E. (2000) Asymptotic stabilization of the heavy top using controlled Lagrangians. In: Proceedings of the 39th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 269-273. ISBN 0-7803-6638-7 http://resolver.caltech.edu/CaltechAUTHORS:20101005-074714316

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. et al. (2000) Dynamical Systems, the Three-Body Problem and Space Mission Design. In: International Conference on Differential Equations. Control and Dynamical Systems. World Scientific , Berlin, pp. 1167-1181. ISBN 978061524095-4 http://resolver.caltech.edu/CaltechAUTHORS:20100630-152103628

Marsden, Jerrold E. and Ratiu, Tudor S. and Raugel, Geneviève (2000) The Euler Equations on Thin Domains. In: EQUADIFF 99. World Scientific , Singapore, pp. 1198-1203. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100908-082643361

Zenkov, Dmitry V. and Bloch, Anthony M. and Leonard, Naomi E. et al. (2000) Matching and Stabilization of Low-dimensional Nonholonomic Systems. In: Proceedings of the 39th IEEE Conference on Decision and Control, 2000. Vol.2. IEEE , pp. 1289-1294. ISBN 0-7803-6638-7 http://resolver.caltech.edu/CaltechAUTHORS:20101026-084050990

Zenkov, Dmitry V. and Bloch, Anthony M. and Leonard, Naomi E. et al. (2000) Matching and stabilization of the unicycle with rider. In: Lagrangian and Hamiltonian methods for nonlinear control. IFAC Workshop Series. Pergamon , Oxford, pp. 177-178. ISBN 0-08-043658-7 http://resolver.caltech.edu/CaltechAUTHORS:20101006-112433128

Serban, Radu and Koon, Wang Sang and Lo, Martin et al. (2000) Optimal control for halo orbit missions. In: Lagrangian and Hamiltonian methods for nonlinear control. IFAC Workshop Series. Pergamon , Oxford , pp. 1-6. ISBN 0-08-043658-7 http://resolver.caltech.edu/CaltechAUTHORS:20101007-111236836

Marsden, Jerrold E. and Perlmutter, Matthew (2000) The Orbit Bundle Picture of Cotangent Bundle Reduction. Comptes Rendus Mathématiques de l'Académie des Sciences. La Société Royale du Canada, 22 (1). pp. 33-54. ISSN 0706-1994. http://resolver.caltech.edu/CaltechAUTHORS:20100907-082631805

Marsden, Jerrold E. and Pekarsky, Sergey and Shkoller, Steve (2000) Poisson structure and invariant manifolds on Lie groups. In: EQUADIFF 99. World Scientific , Singapore , pp. 1192-1197. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100908-084300019

Bloch, Anthony M. and Leonard, Naomi Ehrich and Chang, Dong Eui et al. (2000) Potential and kinetic shaping for control of underactuated mechanical systems. In: Proceedings of the 2000 American Control Conference. Proceedings of the American Control Conference. IEEE , Piscataway, NJ, pp. 3913-3917. ISBN 0-7803-5520-2 http://resolver.caltech.edu/CaltechAUTHORS:20101005-131039606

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. et al. (2000) Shoot the Moon. In: Spaceflight mechanics 2000. Advances in astronautical sciences. No.105. American Astronautical Society , San Diego, pp. 1017-1030. ISBN 978-0-87703-470-4 http://resolver.caltech.edu/CaltechAUTHORS:20101005-082348046

Bloch, Anthony M. and Crouch, Peter E. and Marsden, Jerrold E. et al. (2000) An almost Poisson structure for the generalized rigid body equations. In: Lagrangian and Hamiltonian methods for nonlinear control. IFAC Workshop Series. Pergamon , Oxford, pp. 87-92. ISBN 0-08-043658-7 http://resolver.caltech.edu/CaltechAUTHORS:20101007-134653427

Marsden, J. E. and Ratiu, T. S. and Shkoller, S. (2000) The geometry and analysis of the averaged Euler equations and a new diffeomorphism group. Geometric and Functional Analysis, 10 (3). pp. 582-599. ISSN 1016-443X . http://resolver.caltech.edu/CaltechAUTHORS:20100907-142004839

Bloch, Anthony M. and Holm, Darryl D. and Crouch, Peter E. et al. (2000) An optimal control formulation for inviscid incompressible ideal fluid flow. In: Proceedings of the 39th IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 1273-1278. ISBN 0-7803-6638-7 http://resolver.caltech.edu/CaltechAUTHORS:20101008-083645353

1999

Alber, Mark S. and Camassa, Roberto and Fedorov, Yuri N. et al. (1999) On Billiard Solutions of Nonlinear PDE's. Physics Letters A, 264 (2-3). pp. 171-178. ISSN 0375-9601. http://resolver.caltech.edu/CaltechAUTHORS:20100701-140021943

Alber, Mark S. and Luther, Gregory G. and Marsden, Jerrold E. et al. (1999) Geometry and Control of Three-Wave Interactions. In: The Arnoldfest Proceedings of a Conference in Honour of V.I. Arnold for his Sixtieth Birthday. AMS and Fields Institute. American Mathematical Society , Rhode Island, US, pp. 55-80. ISBN 0821809458 http://resolver.caltech.edu/CaltechAUTHORS:20100708-091115993

Kane, C. and Repetto, E. A. and Ortiz, M. et al. (1999) Finite element analysis of nonsmooth contact. Computer Methods in Applied Mechanics and Engineering, 180 (1-2). pp. 1-26. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20100819-144015326

Marsden, Jerrold E. and Pekarsky, Sergey and Shkoller, Steve (1999) Discrete Euler-Poincaré and Lie-Poisson equations. Nonlinearity, 12 (6). pp. 1647-1662. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:MARnonlin99

Marsden, J. E. and Pekarsky, S. and Shkoller, S. (1999) Stability of Relative Equilibria of Point Vortices on a Sphere and Symplectic Integrators. Nuovo cimento della Società italiana di fisica. C , 22C (6). pp. 793-802. ISSN 0390-5551. http://resolver.caltech.edu/CaltechAUTHORS:20101015-153037123

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold et al. (1999) The Genesis Trajectory and Heteroclinic Cycles. In: Astrodynamics 1999. Advances in Astronautical Sciences. No.103. American Astronautical Society , San Diego, CA, 2327-2343 . ISBN 0-87703-467-2 http://resolver.caltech.edu/CaltechAUTHORS:20111207-104624396

Kane, C. and Marsden, J. E. and Ortiz, M. (1999) Symplectic-energy-momentum preserving variational integrators. Journal of Mathematical Physics, 40 (7). pp. 3353-3371. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:KANjmp99

Parrilo, Pablo A. and Lall, Sanjay and Paganini, Fernando et al. (1999) Model reduction for analysis of cascading failures in power systems. In: American Control Conference, 1999. San Diego, CA, 2-4 June 1999. Vol.6. IEEE , Piscataway, NJ, pp. 4208-4212. ISBN 0-7803-4990-3 http://resolver.caltech.edu/CaltechAUTHORS:PARacc99

Marsden, Jerrold E. and Shkoller, Steve (1999) Multisymplectic geometry, covariant Hamiltonians, and water waves. Mathematical Proceedings of the Cambridge Philosophical Society, 125 (3). pp. 553-575. ISSN 0305-0041. http://resolver.caltech.edu/CaltechAUTHORS:20100914-084439105

Kruse, Hans Peter and Mahalov, Alex and Marsden, Jerrold E. (1999) On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges. Fluid Dynamics Research, 24 (1). pp. 37-59. ISSN 0169-5983 . http://resolver.caltech.edu/CaltechAUTHORS:20100820-140308840

Lall, Sanjay and Marsden, Jerrold E. and Glava?ki, Sonja (1999) Empirical Model Reduction of Controlled Nonlinear Systems. In: Proceedings of the IFAC World Congress. International Federation of Automatic Control , New York, pp. 473-478. ISBN 0080432476 (set) http://resolver.caltech.edu/CaltechAUTHORS:20101007-154754737

Marsden, Jerrold E. (1999) Park City Lectures on Mechanics, Dynamics, and Symmetry. In: Symplectic geometry and topology. IAS/Park City Mathematics series. No.7. American Mathematical Society , pp. 335-430. ISBN 0821808389 http://resolver.caltech.edu/CaltechAUTHORS:20100831-082140722

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, J. J. (1999) Potential shaping and the method of controlled Lagrangians. In: Proceedings of the 38th IEEE Conference on Decision and Control, 1999. Vol.2. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1652-1657. ISBN 0-7803-5250-5 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc99

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (1999) Stabilization of the Unicycle with Rider. In: Proceedings of the 38th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 3470-3471. ISBN 0-7803-5250-5 http://resolver.caltech.edu/CaltechAUTHORS:20101026-093656989

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, Jerrold E. (1999) Stabilization of the pendulum on a rotor arm by the method of controlled Lagrangians. In: Proceedings of the 1999 IEEE International Conference on Robotics and Automation. Vol.1. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 500-505. ISBN 0-7803-51 80-0-5 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeeicra99

1998

Bloch, Anthony M. and Crouch, Peter E. and Marsden, Jerrold E. et al. (1998) Discrete rigid body dynamics and optimal control. In: IEEE Conference on Decision and Control, 37th, Tampa, FL, December 1998. Vol.2. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 2249-2254. ISBN 0-7803-4394-8 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc98b

Glava?ki, Sonja and Marsden, Jerrold E. and Murray, Richard M. (1998) Model reduction, centering, and the Karhunen-Loeve expansion. In: IEEE Conference on Decision and Control, 37th (CDC 1998), Tampa, FL, 16-18 December 1998. Vol.2. IEEE , Piscataway, NJ, pp. 2071-2076. ISBN 0-7803-4394-8 http://resolver.caltech.edu/CaltechAUTHORS:GLAcdc98

Marsden, Jerrold E. and Patrick, George W. and Shkoller, Steve (1998) Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs. Communications in Mathematical Physics, 199 (2). pp. 351-395. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100903-075958375

Pekarsky, Sergey and Marsden, Jerrold E. (1998) Point vortices on a sphere: Stability of relative equilibria. Journal of Mathematical Physics, 39 (11). pp. 5894-5907. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:PEKjmp98

Marsden, Jerrold E. and Misio?ek, Gerard and Perlmutter, Matthew et al. (1998) Symplectic Reduction for Semidirect Products and Central Extensions. Differential Geometry and its Applications, 9 (1-2). pp. 173-212. ISSN 0926-2245. http://resolver.caltech.edu/CaltechAUTHORS:20100831-143247267

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (1998) The Euler?Poincaré Equations and Semidirect Products with Applications to Continuum Theories. Advances in Mathematics, 137 (1). pp. 1-81. ISSN 0001-8708. http://resolver.caltech.edu/CaltechAUTHORS:20100812-100224276

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (1998) The Euler?Poincaré Equations and Semidirect Products with Applications to Continuum Theories. Advances in Mathematics, 137 (1). pp. 1-81. ISSN 0001-8708. http://resolver.caltech.edu/CaltechAUTHORS:20101013-111033443

Cendra, Hernán and Holm, Darryl D. and Hoyle, Mark J. W. et al. (1998) The Maxwell?Vlasov equations in Euler?Poincaré form. Journal of Mathematical Physics, 39 (6). pp. 3138-3157. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:CENjmp98

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (1998) Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion. Physical Review Letters, 80 (19). pp. 4173-4176. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:HOLprl98

Alber, Mark S. and Luther, Gregory G. and Marsden, Jerrold E. et al. (1998) Geometric Phases, Reduction and Lie-Poisson Structure for the Resonant Three-wave Interaction. Technical Reports, HPL-BR. Hewlett-Packard Company . http://resolver.caltech.edu/CaltechAUTHORS:20100707-143741392

Cendra, Hernán and Holm, Darryl D. and Marsden, Jerrold E. et al. (1998) Lagrangian Reduction, the Euler-Poincaré Equations, and Semidirect Products. American Mathematical Society Translations, 186 (1). pp. 1-25. ISSN 0065-9290. http://resolver.caltech.edu/CaltechAUTHORS:20100907-110819892

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, Jerrold E. (1998) Matching and stabilization by the method of controlled Lagrangians. In: Proceedings of the 37th IEEE Conference on Decision and Control, 1998. Vol.2. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1446-1451. ISBN 0-7803-4394-8 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc98a

Koon, Wang Sang and Marsden, Jerrold E. (1998) Poisson reduction for nonholonomic mechanical systems with symmetry. Reports on Mathematical Physics, 42 . pp. 101-134. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20100820-093224864

Jalnapurkar, Sameer M. and Marsden, Jerrold E. (1998) Stabilization of Relative Equilibria II. Regular & Chaotic Dynamics, 3 (3). pp. 161-179. ISSN 1560-3547. http://resolver.caltech.edu/CaltechAUTHORS:20100921-085655421

Marsden, Jerrold E. and Ostrowski, Jim (1998) Symmetries in Motion: Geometric Foundations of Motion Control. In: Motion, Control, and Geometry: Proceedings of a Symposium. National Academies Press , pp. 3-19. ISBN 9780309057851 http://resolver.caltech.edu/CaltechAUTHORS:20100902-113526349

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (1998) The energy-momentum method for the stability of non-holonomic systems. Dynamics and Stability of Systems, 13 (3). pp. 123-165. ISSN 0268-1110 . http://resolver.caltech.edu/CaltechAUTHORS:20101026-090010743

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (1998) The energy?momentum method for the stability of non-holonomic systems. Dynamics and Stability of Systems, 13 (2). pp. 123-166. ISSN 1465-3389. http://resolver.caltech.edu/CaltechAUTHORS:20100923-085233667

1997

Koon, Wang Sang and Marsden, Jerrold E. (1997) The geometric structure of nonholonomic mechanics. In: Proceedings of the 36th IEEE Conference on Decision and Control, 1997. Vol.5. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 4856-4861. ISBN 0-7803-3970-8 http://resolver.caltech.edu/CaltechAUTHORS:KOOieeecdc97

Bloch, Anthony M. and Leonard, Naomi Ehrich and Marsden, Jerrold E. (1997) Stabilization of mechanical systems using controlled Lagrangians. In: IEEE Conference on Decision and Control, 36th, San Diego, CA, 10-12 December 1997. Vol.3. IEEE , Piscataway, NJ, pp. 2356-2361. ISBN 0-7803-4187-2 http://resolver.caltech.edu/CaltechAUTHORS:BLOcdc97

Wendlandt, Jeffrey M. and Marsden, Jerrold E. (1997) Mechanical Integrators Derived from a Discrete Variational Principle. Physica D, 106 (3-4). pp. 223-246. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100917-091859665

Koon, Wang Sang and Marsden, Jerrold E. (1997) The Hamiltonian and Lagrangian Approaches to the Dynamics of Nonholonomic Systems. Reports on Mathematical Physics, 40 (1). pp. 21-62. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20100820-092142844

Leonard, Naomi Ehrich and Marsden, Jerrold E. (1997) Stability and drift of underwater vehicle dynamics: Mechanical systems with rigid motion symmetry. Physica D, 105 (1-3). pp. 130-162. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100823-092113436

Zenkov, Dmitry V. and Bloch, Anthony M. and Marsden, Jerrold E. (1997) The Energy-Momentum Method for the Stability of Nonholonomic Systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1997.010

Getz, N. H. and Marsden, Jerrold E. (1997) Dynamical methods for polar decomposition and inversion of matrices. Linear Algebra and its Applications, 258 (June). pp. 311-343. ISSN 0024-3795. http://resolver.caltech.edu/CaltechAUTHORS:20100810-081116107

Koon, Wang-Sang and Marsden, Jerrold E. (1997) Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction. SIAM Journal on Control and Optimization, 35 (3). pp. 901-929. ISSN 0363-0129. http://resolver.caltech.edu/CaltechAUTHORS:20100820-090419741

Alber, Mark S. and Luther, Gregory G. and Marsden, Jerrold E. (1997) Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces. Nonlinearity, 10 (1). pp. 223-241. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:ALBnonlin97

Alber, Mark S. and Luther, Gregory G. and Marsden, Jerrold E. (1997) Complex Billiard Hamiltonian Systems and Nonlinear Waves. In: Algebraic Aspects of Integrable Systems. Vol.1997. Birkhäuser , Boston, pp. 1-16. ISBN 0817638350 http://resolver.caltech.edu/CaltechAUTHORS:20100706-153522794

Bloch, Anthony M. and Marsden, Jerrold E. and De Alvarez, G. Sanchez (1997) Feedback stabilization of relative equilibria for mechanical systems with symmetry. In: Current and future directions in applied mathematics. Birkhauser Boston Inc. , Cambridge, MA, USA, pp. 43-64. ISBN 081763956X http://resolver.caltech.edu/CaltechAUTHORS:20100714-154512455

Marsden, J. E. and Wendlandt, J. M. (1997) Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms. In: Proceedings of the Symposium on Current and Future Directions in Mathematics. Birkhäuser , pp. 219-261. ISBN 081763956X http://resolver.caltech.edu/CaltechAUTHORS:20100910-132222147

1996

Bloch, Anthony M. and Krishnaprasad, P. S. and Marsden, Jerrold E. et al. (1996) Nonholonomic Mechanical Systems with Symmetry. Archive for Rational Mechanics and Analysis, 136 (1). pp. 21-99. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100713-091226984

Marsden, Jerrold E. and Koon, Wang-Sang (1996) The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1996.020

Wendland, Jeffrey M. and Marsden, Jerrold E (1996) Mechanical integrators derived from a discrete variational principle. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1996.013

Xu, Chong-Ye and Marsden, Jerrold E. (1996) Asymptotic Stability for Equilibria of Nonlinear Semiflows with Applications to Rotating Viscoelastic Rods, Part I. Topological Methods in Nonlinear Analysis, 7 (2). pp. 271-297. ISSN 1230-3429. http://resolver.caltech.edu/CaltechAUTHORS:20100917-103909190

Bloch, Anthony and Krishnaprasad, P. S. and Marsden, Jerrold E. et al. (1996) The Euler-Poincare Equations and Double Bracket Dissipation. Communications in Mathematical Physics, 175 (1). pp. 1-42. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100713-150040832

Ge, Zhong and Kruse, Hans Peter and Marsden, Jerrold E. (1996) The limits of Hamiltonian structures in three-dimensional elasticity, shells, and rods. Journal of Nonlinear Science, 6 (1). pp. 19-57. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20100809-115550752

Kirk, Vivien and Marsden, Jerrold E. and Silber, Mary (1996) Branches of stable three-tori using Hamiltonian methods in hopf bifurcation on a rhombic lattice. Dynamics and Stability of Systems, 11 (4). pp. 267-302. ISSN 1465-3389. http://resolver.caltech.edu/CaltechAUTHORS:20100819-150609400

Alber, Mark S. and Marsden, Jerrold E. (1996) Semiclassical monodromy and the spherical pendulum as a complex Hamiltonian System. In: Conservative Systems and Quantum Chaos. Fields Institute Communications. No.8. AMS and Fields Institute , Calgary, AB, Canada. ISBN 9780821802540 http://resolver.caltech.edu/CaltechAUTHORS:20100709-153153548

Marsden, Jerrold E. and Scheurle, Jürgen and Wendlandt, Jeffrey M. (1996) Visualization of orbits and pattern evocation for the double spherical pendulum. In: ICIAM 95 : proceedings of the Third International Congress on Industrial and Applied Mathematics. Mathematical Research. No.87. Akademie Verlag , Berlin, pp. 213-232. ISBN 3055016823 http://resolver.caltech.edu/CaltechAUTHORS:20100923-094959773

1995

Getz, Neil H. and Marsden, Jerrold E. (1995) Joint-space tracking of workspace trajectories in continuous time. In: Proceedings of the 34th Conference on Decision & Control, New Orleans, LA, 13-15 December 1995. Vol.2. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1001-1006. ISBN 0780326857 http://resolver.caltech.edu/CaltechAUTHORS:GETieeecdc95b

Getz, Neil H. and Marsden, Jerrold E. (1995) Dynamic inversion and polar decomposition of matrices. In: IEEE Conference on Decision and Control, 34th (CDC 1995). New Orleans, LA, 13-15 December 1995. Vol.1. IEEE , Piscataway, NJ, pp. 142-147. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a

Getz, Neil H. and Marsden, Jerrold E. (1995) A dynamic inverse for nonlinear maps. In: IEEE Conference on Decision and Control, 34th (CDC '95), New Orleans, LA, 13-15 December 1995. Vol.4. IEEE , Piscataway, NJ, pp. 4218-4223. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETcdc95c

Alber, Mark S. and Camassa, Roberto and Holm, Darryl D. et al. (1995) On the Link between Umbilic Geodesics and Soliton Solutions of Nonlinear PDEs. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 450 (1940). pp. 677-692. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20100706-151341245

Koon, Wang-Sang and Marsden, Jerrold E. (1995) Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reductions. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.022

Marsden, Jerrold E. and Scheurle, Jürgen (1995) Pattern Evocation and Geometric Phases in Mechanical Systems with Symmetry. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.021

Getz, Neil H. and Marsden, Jerrold E. (1995) Tracking implicit trajectories. In: Nonlinear control systems design, 1995 : a postprint volume from the 3rd IFAC Symposium, Tahoe City, California, USA, 25-28 June 1995. International Federation of Automatic Control , Tarrytown, N.Y., USA, pp. 25-28. ISBN 008042371X http://resolver.caltech.edu/CaltechAUTHORS:20101027-104643012

Bloch, A. M. and Krishnaprasad, P. S. and Marsden, J. E. et al. (1995) Nonholonomic Mechanical Systems with Symmetry. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.CIT-CDS-94-013

Getz, Neil H. and Marsden, J. E. (1995) Control for an Autonomous Bicycle. In: Proceedings of the 1995 IEEE International Conference on Robotics and Automation. Vol.2. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1397-1402. ISBN 0-7803-1965-6 http://resolver.caltech.edu/CaltechAUTHORS:GETieeeicra95

Marsden, Jerrold E. and Scheurle, Jürgen (1995) Pattern evocation and geometric phases in mechanical systems with symmetry. Dynamics and Stability of Systems, 10 (4). pp. 315-338. ISSN 0268-1110 . http://resolver.caltech.edu/CaltechAUTHORS:20100909-072626173

Golubitsky, Martin and Marsden, Jerrold E. and Stewart, Ian et al. (1995) The constrained Liapunov-Schmidt procedure and periodic orbits. Fields Institute Communications, 4 . pp. 81-127. ISSN 1069-5265. http://resolver.caltech.edu/CaltechAUTHORS:20100810-121036542

Ge, Zhong and Kruse, Hans Peter and Marsden, Jerrold E. et al. (1995) The convergence of Hamiltonian structure in the shallow water approximation. Canadian Applied Mathematics Quarterly, 3 (3). pp. 277-302. ISSN 1073-1849. http://resolver.caltech.edu/CaltechAUTHORS:20100810-072428335

Marsden, Jerrold E. and Ratiu, Tudor S. and Raugel, Geneviève (1995) Équations d'Euler dans une coque sphérique mince = Euler equations in a thin spherical shell. Comptes rendus de l'Acade?mie des sciences. Se?rie I, Mathe?matique, 321 (9). pp. 1201-1206. ISSN 0764-4442. http://resolver.caltech.edu/CaltechAUTHORS:20100923-104152595

1994

Alber, M. S. and Marsden, J. E. (1994) Complex geometric asymptotics for nonlinear systems on complex varieties. Topological Methods in Nonlinear Analysis, 4 (2). pp. 237-251. ISSN 1230-3429. http://resolver.caltech.edu/CaltechAUTHORS:20101011-110435277

Alber, Mark S. and Camassa, Roberto and Holm, Darryl D. et al. (1994) The geometry of peaked solitons and billiard solutions of a class of integrable PDE's. Letters in Mathematical Physics, 32 (2). pp. 137-151. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20100706-142301021

Knobloch, Edgar and Mahalov, Alex and Marsden, Jerrold E. (1994) Normal Forms for Three?dimensional Parametric Instabilities in Ideal Hydrodynamics. Physica D, 73 (1-2). pp. 49-81. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100819-152949098

Bloch, Anthony and Krishnaprasad, P. S. and Marsden, Jerrold E. et al. (1994) Dissipation Induced Instabilities. Analyse Nonlineaire, Annales Institute H. Poincaré, 11 (1). pp. 37-90. ISSN 0294-1449. http://resolver.caltech.edu/CaltechAUTHORS:20100907-102644978

Marsden, Jerrold E. (1994) Geometric Mechanics, Stability and Control. In: Trends and perspectives in applied mathematics. Applied mathematical sciences . No.100. Springer-Verlag , New York, pp. 265-291. ISBN 0387942017 http://resolver.caltech.edu/CaltechAUTHORS:20100831-072256867

Alber, Mark S. and Marsden, Jerrold E. (1994) Geometric phases and monodromy at singularities. In: Singular Limits of Dispersive Waves. NATO ASI SERIES B. No.320. PLENUM PUBLISHING CORPORATION , Lyon, France, pp. 273-295. ISBN 0306446286 http://resolver.caltech.edu/CaltechAUTHORS:20100709-082305994

Marsden, Jerrold E. (1994) Remarks on Geometric Mechanics. In: Duration and change : fifty years at Oberwolfach. Springer-Verlag , pp. 254-274. ISBN 0387572147 http://resolver.caltech.edu/CaltechAUTHORS:20100831-075453723

Alber, M. S. and Marsden, J. E. (1994) Resonant Geometric Phases for Soliton Equations. In: Hamiltonian and Gradient Flows, Algorithms and Control. Fields Institute Communications. No.3. American Mathematical Society , Providence, RI, pp. 1-26. ISBN 978-0-8218-0255-7 http://resolver.caltech.edu/CaltechAUTHORS:20101011-104457907

1993

Marsden, Jerrold E. (1993) Steve Smale and Geometric Mechanics. In: From Topology to Computation: Proceedings of the Smalefest. Springer-Verlag , New York, pp. 499-516. ISBN 9780387979328 http://resolver.caltech.edu/CaltechAUTHORS:20100830-110933848

Marsden, Jerrold E. and Scheurle, Jürgen (1993) Lagrangian Reduction and the Double Spherical Pendulum. Zeitschrift für Angewandte Mathematick und Physik, 44 (1). pp. 17-43. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:20100908-095935372

Marsden, Jerrold E. (1993) Bifurcations in Hamiltonian Systems with Symmetry. In: 1st European Nonlinear Oscillations Conference (ENOC-93), August 16-20, 1993 , Hamburg. http://resolver.caltech.edu/CaltechAUTHORS:20100830-100235392

Kruse, H.-P. and Marsden, J. E. and Scheurle, J. (1993) On uniformly rotating fluid drops trapped between two parallel plates. In: Exploiting symmetry in applied and numerical analysis. Lectures in applied mathematics . No.29. American Mathematical Society , pp. 307-317. ISBN 0821811347 http://resolver.caltech.edu/CaltechAUTHORS:20100924-075908242

Marsden, Jerrold E. and Scheurle, Jürgen (1993) The Reduced Euler-Lagrange Equations. In: Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems. Fields Institute Communications. No.1. AMS and Fields Institute , pp. 139-164. ISBN 9780821892008 http://resolver.caltech.edu/CaltechAUTHORS:20100908-112639904

1992

Alber, M. S. and Marsden, J. E. (1992) On geometric phases for soliton equations. Communications in Mathematical Physics, 149 (2). pp. 217-240. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100709-080505407

Dellnitz, Michael and Melbourne, Ian and Marsden, Jerrold E. (1992) Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity, 5 (4). pp. 979-996. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:DELnonlin92

Bloch, A. M. and Krishnaprasad, P. S. and Marsden, J. E. et al. (1992) Stabilization of Rigid Body Dynamics by Internal and External Torques. Automatica, 28 (4). pp. 745-756. ISSN 0005-1098. http://resolver.caltech.edu/CaltechAUTHORS:20100713-155533584

Lin, F. J. and Marsden, J. E. (1992) Symplectic reduction and topology for applications in classical molecular dynamics. Journal of Mathematical Physics, 33 (4). pp. 1281-1294. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:LINjmp92

Lewis, D. and Ratiu, T. and Simo, J. C. et al. (1992) The heavy top: a geometric treatment. Nonlinearity, 5 (1). pp. 1-48. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:LEWnonlin92

Dellnitz, Michael and Marsden, Jerrold E. and Melbourne, Ian et al. (1992) Generic Bifurcations of Pendula. In: Bifurcation and Symmetry: Cross Influence Between Mathematics and Applications. International Series of Numerical Mathematics. Vol.104. Birkhauser Verlag , Marburg, Germany, pp. 111-122. ISBN 978-3-7643-2739-2 http://resolver.caltech.edu/CaltechAUTHORS:20100802-075022129

Marsden, Jerrold E. (1992) Lectures on Mechanics. London Mathematical Society lecture note series. Vol.174. Cambridge University Press , Cambridge, England. ISBN 9780521428446 http://resolver.caltech.edu/CaltechAUTHORS:20110103-125952366

Gotay, Mark J. and Marsden, Jerrold E. (1992) Stress-Energy-Momentum Tensors and the Belinfante-Rosenfeld Formula. In: Mathematical aspects of classical field theory. Contemp. Math. . No.132. American Mathematical Society , pp. 367-392. http://resolver.caltech.edu/CaltechAUTHORS:20100810-093244959

1991

Bloch, A. M. and Krishnaprasad, P. S. and Marsden, J. E. et al. (1991) Asymptotic Stability, Instability and Stabilization of Relative Equilibria. In: Proceedings of the 1991 American Control Conference. IEEE , Piscataway, NJ, pp. 1120-1125. ISBN 0879425652 http://resolver.caltech.edu/CaltechAUTHORS:20101012-083137228

Simo, J. C. and Posbergh, T. A. and Marsden, J. E. (1991) Stability of Relative Equilibria. Part II: Application to Nonlinear Elasticity. Archive for Rational Mechanics and Analysis, 115 (1). pp. 61-100. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100916-121320552

Simo, J. C. and Lewis, D. and Marsden, J. E. (1991) Stability of relative equilibria. Part I: The reduced energy-momentum method. Archive for Rational Mechanics and Analysis, 115 (1). pp. 15-59. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100914-114922694

Marsden, J. E. and Ratiu, T. and Raugel, G. (1991) Symplectic connections and the linearisation of Hamiltonian systems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 117 (3-4). pp. 329-380. ISSN 0308-2105. http://resolver.caltech.edu/CaltechAUTHORS:20100903-112241193

Scheurle, Jürgen and Marsden, Jerrold E. and Holmes, Philip (1991) Exponentially small estimates for separatrix splittings. In: Asymptotics beyond All Orders. NATO Science Series B: Physics. No.284. Plenum , pp. 187-195. ISBN 9780306441127 http://resolver.caltech.edu/CaltechAUTHORS:20100917-095953372

Holm, Darryl D. and Marsden, Jerrold E. (1991) The Rotor and the Pendulum. In: Proceedings of Colloquium in honor of Jean-Marie Souriau. Progress in Mathematics. No.99. Birkhauser Boston , pp. 189-203. ISBN 0817635815 http://resolver.caltech.edu/CaltechAUTHORS:20100812-075154192

Marsden, J. E. and O'Reilly, O. M. and Wicklin, F. J. et al. (1991) Symmetry, Stability, Geometric Phases, and Mechanical Integrators. Nonlinear Science Today, 1 (1). pp. 4-11. ISSN 0938-9008 . http://resolver.caltech.edu/CaltechAUTHORS:20100924-151603037

1990

Simo, J. C. and Posbergh, T. A. and Marsden, J. E. (1990) Stability of coupled rigid body and geometrically exact rods, block diagonalization and the energy, momentum method. Physics Reports, 193 (6). pp. 279-360. ISSN 0370-1573. http://resolver.caltech.edu/CaltechAUTHORS:20100916-075512944

Lewis, D. and Marsden, J. E. and Ratiu, T. S. et al. (1990) Normalizing connections and the energy-momentum method. PAM-496. University of California, Berkeley , Berkeley, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20100923-145142151

Bloch, Anthony M. and Marsden, Jerrold E. (1990) Stabilization of rigid body dynamics by the Energy-Casimir method. Systems and Control Letters, 14 (4). pp. 341-346. ISSN 0167-6911. http://resolver.caltech.edu/CaltechAUTHORS:20100714-145003782

Marsden, Jerrold E. and Simo, Juan C. (1990) The Energy-Momentum Method. In: La "Mécanique analytique" de Lagrange et son héritage : colloque, Accademia delle Scienze di Torino, 1, Paris, 27 - 29 septembre 1988. Acta Academiae Scientiarum Taurinensis . Vol.1. No.124 Suppl.. Accademia delle scienze di Torino , Torino, Italy, pp. 245-268. http://resolver.caltech.edu/CaltechAUTHORS:20101019-093814651

Marsden, J. E. and Montgomery, R. and Ratiu, T. S. (1990) Reduction, Symmetry and Phases in Mechanics. Memoirs of the American Mathematical Society, 88 (436). ISSN 0065-9266. http://resolver.caltech.edu/CaltechAUTHORS:20100902-092616867

Chern, Shuh-Jye and Marsden, Jerrold E. (1990) A note on symmetry and stability for fluid flows. Geophysical and Astrophysical Fluid Mechanics, 51 (1-4). pp. 19-26. ISSN 0309-1929. http://resolver.caltech.edu/CaltechAUTHORS:20100730-102210176

1989

Bloch, A. M. and Marsden, J. E. (1989) Control and stabilization of systems with homoclinic orbits. In: Proceedings of the 28th Conference on Decision and Control Tampa, Florida, 13-15 December 1989. Vol.3. IEEE , Piscataway, NJ, pp. 2238-2242. http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc89

Oh, Y. -G and Sreenath, N. and Krishnaprasad, P. S. et al. (1989) The dynamics of coupled planar rigid bodies. II. Bifurcations, periodic solutions, and chaos. Journal of Dynamics and Differential Equations, 1 (3). pp. 269-298. ISSN 1040-7294. http://resolver.caltech.edu/CaltechAUTHORS:20100913-092725646

Marsden, J. and Montgomery, Sean M. and Ratiu, T. (1989) Cartan-Hannay-Berry Phases and Symmetry. In: Dynamics and Control of Multibody Systems. Contemporary Mathematics. Vol.97. American Mathematical Society , Providence, R.I., pp. 279-295. ISBN 0821851047 http://resolver.caltech.edu/CaltechAUTHORS:20100902-080916253

Bloch, A. M. and Marsden, J. E. (1989) Controlling Homoclinic Orbits. Theoretical and Computational Fluid Dynamics, 1 (3). pp. 179-190. ISSN 0935-4964. http://resolver.caltech.edu/CaltechAUTHORS:20101012-090636565

Lewis, D. and Marsden, J. (1989) The Hamiltonian-dissipative decomposition of normal forms of vector fields. In: Proceedings of the Conference on Bifurcation and its Numerical Analysis. Xi'an Jiaotong Univ. Press , Xi'an, China, pp. 51-78. ISBN 7-5605-0257-1 http://resolver.caltech.edu/CaltechAUTHORS:20100823-080520574

Posbergh, T. A. and Simo, J. C. and Marsden, J. E. (1989) Stability Analysis of a Rigid Body with Attached Geometrically Nonlinear Rod by the Energy-Momentum Method. In: Dynamics and control of multibody systems : proceedings of the AMS-IMS-SIAM. Contemporary Mathematics . No.97. American Mathematical Society , pp. 371-398. ISBN 0821851047 http://resolver.caltech.edu/CaltechAUTHORS:20100915-112730894

Marsden, J. E. and Simo, J. C. and Lewis, D. et al. (1989) A block diagonalization theorem in the energy-momentum method. In: Dynamics and control of multibody systems : proceedings of the AMS-IMS-SIAM joint summer conference. Comtemporary Mathematics. No.97. American Mathematical Society , pp. 297-313. ISBN 0821851047 http://resolver.caltech.edu/CaltechAUTHORS:20100910-080520844

1988

Zhong, Ge and Marsden, Jerrold E. (1988) Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Physics Letters A, 133 (3). pp. 134-139. ISSN 0375-9601. http://resolver.caltech.edu/CaltechAUTHORS:20100810-074526321

Simo, Juan C. and Marsden, Jerrold E. and Krishnaprasad, P. S. (1988) The Hamiltonian Structure of Nonlinear Elasticity: The Material and Convective Representations of Solids, Rods, and Plates. Archive for Rational Mechanics and Analysis, 104 (2). pp. 125-183. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100915-111233620

Grossman, R. and Krishnaprasad, P. S. and Marsden, Jerrold E. (1988) The Dynamics of Two Coupled Rigid Bodies. In: Dynamical systems approaches to nonlinear problems in systems and circuits. SIAM , Philadelphia, PA, pp. 373-378. http://resolver.caltech.edu/CaltechAUTHORS:20100927-073236430

Holmes, Philip and Marsden, Jerrold and Scheurle, Jürgen (1988) Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations. In: Hamiltonian dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference. Contemporary mathematics . No.81. American Mathematical Society , pp. 213-244. ISBN 0821850865 http://resolver.caltech.edu/CaltechAUTHORS:20100924-133113111

Marsden, Jerrold E. (1988) The Hamiltonian formulation of classical field theory. In: Mathematics and General Relativity. Contemporary Mathematics. Vol.71. American Mathematical Society , Piscataway, NJ, pp. 221-235. ISBN 978-0-8218-5079-4 http://resolver.caltech.edu/CaltechAUTHORS:20100830-092110504

Sreenath, N. and Oh, Y. G. and Krishnaprasad, P. S. et al. (1988) The dynamics of coupled planar rigid bodies. Part I: Reduction, equilibria and stability. Dynamics and Stability of Systems, 3 (1-2). pp. 25-49. ISSN 1465-3389. http://resolver.caltech.edu/CaltechAUTHORS:20100916-150335055

1987

Abraham, Ralph and Marsden, Jerrold E. (1987) Foundations of Mechanics, Second Edition. Addison-Wesley Publishing Company, Inc. , Redwood City, CA. ISBN 080530102X http://resolver.caltech.edu/CaltechBOOK:1987.001

Lewis, D. and Marsden, J. and Ratiu, T. (1987) Stability and bifurcation of a rotating planar liquid drop. Journal of Mathematical Physics, 28 (10). pp. 2508-2515. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:LEWjmp87

Marsden, Jerrold and Scheurle, Jürgen (1987) The Construction and Smoothness of Invariant Manifolds by the Deformation Method. SIAM Journal on Mathematical Analysis, 18 (5). pp. 1261-1274. ISSN 0036-1410. http://resolver.caltech.edu/CaltechAUTHORS:20100908-094725042

Cendra, Hernan and Marsden, Jerrold E. (1987) Lin constraints, Clebsch potentials and variational principles. Physica D, 27 (1-2). pp. 63-89. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100727-072431782

Krishnaprasad, P. S. and Marsden, J. E. (1987) Hamiltonian structures and stability for rigid bodies with flexible attachments. Archive for Rational Mechanics and Analysis, 98 (1). pp. 71-93. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100820-115333122

Golubitsky, Martin and Stewart, Ian and Marsden, Jerrold (1987) Generic bifurcation of Hamiltonian systems with symmetry. Physica D, 24 (1-3). pp. 391-405. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20101015-112336225

Cendra, Hernan and Ibort, Luis A. and Marsden, Jerrold E. (1987) Horizontal Lin contraints, Clebsch potentials and variational principles on principal fiber bundles. In: XV International colloquium on group theoretical methods in physics. World Scientific , Singapore, pp. 446-450. ISBN 9971503395 http://resolver.caltech.edu/CaltechAUTHORS:20100923-155053602

Marsden, J. E. and Ratiu, T. S. (1987) Nonlinear Stability in Fluids and Plasmas. In: Seminar on New Results in Nonlinear Partial Differential Equations : a publication of the Max-Planck-Institut für Mathematik, Bonn. Aspects of Mathematics. E. No.10. Vieweg , Braunschweig, Germany, pp. 101-134. ISBN 9783528089757 http://resolver.caltech.edu/CaltechAUTHORS:20101018-080919674

Posbergh, T. A. and Krishnaprasad, Perinkulam S. and Marsden, Jerrold E. (1987) Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method. In: Differential geometry: the interface between pure and applied mathematics. Contemporary Mathematics. No.68. American Mathematical Society , Providence, RI, pp. 253-273. http://resolver.caltech.edu/CaltechAUTHORS:20100820-143039517

Cendra, Hernan and Ibort, Alberto and Marsden, Jerrold (1987) Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints. Journal of Geometry and Physics, 4 (2). pp. 183-205. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100726-150945057

1986

Abarbanel, H. D. I. and Holm, D. D. and Marsden, J. E. et al. (1986) Nonlinear Stability Analysis of Stratified Fluid Equilibria. Philosophical Transactions of the Royal Society of London. Series A, Mathematical, Physical, and Engineering Sciences, 318 (1543). pp. 349-409. ISSN 1364-503X . http://resolver.caltech.edu/CaltechAUTHORS:20100701-133449029

Marsden, J. E. and Montgomery, R. and Morrison, P. J. et al. (1986) Covariant Poisson Brackets for Classical Fields. Annals of Physics, 169 (1). pp. 29-47. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20100902-072124633

Eardley, D. and Isenberg, J. and Marsden, J. et al. (1986) Homothetic and Conformal Symmetries of Solutions to Einstein's Equations. Communications in Mathematical Physics, 106 (1). pp. 137-158. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100802-093122559

Marsden, Jerrold E. and Ratiu, Tudor (1986) Reduction of Poisson manifolds. Letters in Mathematical Physics, 11 (2). pp. 161-169. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789

Lewis, D. and Marsden, J. and Montgomery, R. et al. (1986) The Hamiltonian structure for dynamic free boundary problems. Physica D, 18 (1-3). pp. 391-404. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100823-111237772

Lewis, D. and Marsden, J. and Ratiu, T. (1986) Formal stability of liquid drops with surface tension. In: Perspectives in nonlinear dynamics. World Scientific , pp. 71-83. ISBN 9971501147 http://resolver.caltech.edu/CaltechAUTHORS:20100922-093909997

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (1986) The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations. In: Hamiltonian structure and Lyapunov stability for ideal continuum dynamics. Se?minaire de mathe?matiques supe?rieures. No.100. Presses de l'Universite de Montreal , pp. 11-124. ISBN 9782760607712 http://resolver.caltech.edu/CaltechAUTHORS:20100921-072443815

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor (1986) Nonlinear stability of the Kelvin-Stuart cat's eyes flow. In: Nonlinear systems of partial differential equations in applied mathematics part 2. Lectures in Applied Mathematics. No.23. AMS , pp. 171-186. ISBN 0821811266 http://resolver.caltech.edu/CaltechAUTHORS:20100812-082932155

1985

Bao, David and Marsden, Jerrold and Walton, Ronald (1985) The Hamiltonian Structure of General Relativistic Perfect Fluids. Communications in Mathematical Physics, 99 (3). pp. 319-345. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100713-074722902

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, T. et al. (1985) Nonlinear stability of fluid and plasma equilibria. Physics Reports, 123 (1-2). pp. 1-116. ISSN 0370-1573. http://resolver.caltech.edu/CaltechAUTHORS:20100817-084719378

Slemrod, M. and Marsden, J. E. (1985) Temporal and Spatial Chaos in a van der Waals Fluid Due to Periodic Thermal Fluctuations. Advances in Applied Mathematics, 6 (2). pp. 135-158. ISSN 0196-8858. http://resolver.caltech.edu/CaltechAUTHORS:20100910-083753021

Marsden, Jerrold E. and Weinstein, Alan J. (1985) Calculus I. Springer-Verlag , New York. ISBN 0387909745 http://resolver.caltech.edu/CaltechBOOK:1985.001

Marsden, Jerrold E. and Weinstein, Alan J. (1985) Calculus II. Springer-Verlag , New York. ISBN 0387909753 http://resolver.caltech.edu/CaltechBOOK:1985.003

Marsden, Jerrold E. and Weinstein, Alan J. (1985) Calculus III. Springer-Verlag , New York. http://resolver.caltech.edu/CaltechBOOK:1985.005

Soon, Frederick H. (1985) Student's guide to Calculus by J. Marsden and A. Weinstein, Volume I. Springer-Verlag , New York. ISBN 0387962077 http://resolver.caltech.edu/CaltechBOOK:1985.002

Soon, Frederick H. (1985) Student's guide to Calculus by J. Marsden and A. Weinstein, Volume II. Springer-Verlag , New York. ISBN 0387962344 http://resolver.caltech.edu/CaltechBOOK:1985.004

Soon, Frederick H. (1985) Student's guide to Calculus by J. Marsden and A. Weinstein, Volume III. Springer-Verlag , New York. http://resolver.caltech.edu/CaltechBOOK:1985.006

1984

Marsden, Jerrold E. (1984) Chaos in dynamical systems by the Poincaré-Melnikov-Arnold method. In: Chaos in Nonlinear Dynamical Systems. Society for Industrial and Applied Mathematics , Philadelphia, pp. 19-31. ISBN 9780898710526 http://resolver.caltech.edu/CaltechAUTHORS:20100830-082935945

Scheurle, Jürgen and Marsden, Jerrold (1984) Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations. SIAM Journal on Mathematical Analysis, 15 (6). pp. 1055-1074. ISSN 0036-1410. http://resolver.caltech.edu/CaltechAUTHORS:SCHEsiamjma84

Simo, Juan C. and Marsden, Jerrold E. (1984) On the rotated stress tensor and the material version of the Doyle-Ericksen formula. Archive for Rational Mechanics and Analysis, 86 (3). pp. 213-231. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100914-133134016

Ball, J. M. and Marsden, J. E. (1984) Quasiconvexity at the Boundary, Positivity of the Second Variation and Elastic Stability. Archive for Rational Mechanics and Analysis, 86 (3). pp. 251-277. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100713-073102638

Salam, Fathi M. A. and Marsden, Jerrold E. and Varaiya, Pravin P. (1984) Arnold diffusion in the swing equations of a power system. IEEE Transactions on Circuits and Systems, 31 (8). pp. 673-688. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:SALieeetc84

Abarbanel, Henry D. I. and Holm, Darryl D. and Marsden, Jerrold E. et al. (1984) Richardson Number Criterion for the Nonlinear Stability of Three-Dimensional Stratified Flow. Physical Review Letters, 52 (26). pp. 2352-2355. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:ABAprl84

Holm, Darryl and Marsden, Jerrold and Ratiu, T. et al. (1984) Stability of rigid body motion using the Energy-Casimir method. In: Fluids and Plasmas: geometry and dynamics. Contemporary Mathematics. No.28. American Mathematical Society , pp. 15-23. ISBN 9780821850282 http://resolver.caltech.edu/CaltechAUTHORS:20100812-150925524

Golubitsky, M. and Marsden, J. and Schaeffer, D. (1984) Bifurcation problems with hidden symmetries. In: Partial differential equations and dynamical systems. Research notes in mathematics . No.101. Boston : Pitman Advanced Publishing Program , pp. 181-197. ISBN 97802730864444 http://resolver.caltech.edu/CaltechAUTHORS:20100922-111752836

Montgomery, Richard and Marsden, Jerrold and Ratiu, Tudor (1984) Gauged Lie-Poisson structures. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics. No.28. American Mathematical Society , Boulder, Colorado, pp. 101-114. ISBN 0821850288 http://resolver.caltech.edu/CaltechAUTHORS:20100913-074315409

Hazeltine, R. D. and Holm, D. D. and Marsden, J. E. et al. (1984) Generalized poisson brackets and nonlinear Liapunov stability application to reduces mhd. In: 1984 International Conference on Plasma Physics : Joint Conference of Sixth Kiev International Conference on Plasma Theory and Sixth International Congress on Waves and Instabilities : June 27-July 3, Lausanne, Switzerland. Vol.2. Centre de recherches en physique des plasmas, Ecole polytechnique fédérale , Lausanne, Switzerland, pp. 204-206. http://resolver.caltech.edu/CaltechAUTHORS:20101026-154917202

Marsden, Jerrold E. and Morrison , Philip J. and Weinstein, Alan J. (1984) The Hamiltonian structure of the BBGKY hierarchy equations. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics. No.28. American Mathematical Society , Providence, R.I., pp. 115-124. ISBN 0821850288 http://resolver.caltech.edu/CaltechAUTHORS:20100902-100636174

Marsden, Jerrold E. (1984) Hamiltonian structures for the heavy top and plasmas. In: Partial Differential Equations and Dynamical Systems. Research notes in mathematics. No.101. Pitman Advanced Publishing Program , Boston, pp. 259-278. ISBN 9780273086444 http://resolver.caltech.edu/CaltechAUTHORS:20100827-153114608

Marsden, Jerrold E. and Morrison , Philip J. (1984) Noncanonical Hamiltonian field theory and reduced MHD. In: Fluids and plasmas : geometry and dynamics. Contemporary Mathematics. No.28. American Mathematical Society , Providence, R.I, pp. 133-150. ISBN 0821850288 http://resolver.caltech.edu/CaltechAUTHORS:20100901-112223214

Marsden, Jerrold E. and Ratiu, Tudor and Weinstein, Alan J. (1984) Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. In: Fluids and Plasmas : Geometry and Dynamics. Contemporary mathematics . No.28. American Mathematical Society , Providence, R.I., pp. 55-100. ISBN 0821850288 http://resolver.caltech.edu/CaltechAUTHORS:20100908-070424350

Marsden, Jerrold E. and Ratiu, Tudor and Weinstein, Alan J. (1984) Semidirect products and reduction in mechanics. Transactions of the American Mathematical Society, 281 (1). pp. 147-177. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20100907-154555674

Marsden, Jerrold E. (1984) Stress and Riemannian metrics in nonlinear elasticity. In: Seminar on nonlinear partial differential equations. Mathematical Sciences Research Institute publications . No.2. Springer-Verlag , New York, pp. 173-184. ISBN 0387960791 http://resolver.caltech.edu/CaltechAUTHORS:20100923-142844657

Simo, J. C. and Marsden, J. E. (1984) Stress tensors, Riemannian metrics and the alternative descriptions in elasticity. In: Trends and applications of pure mathematics to mechanics. Lecture Notes in Physics. No.195. Springer-Verlag , New York, pp. 369-383. ISBN 9783540129165 http://resolver.caltech.edu/CaltechAUTHORS:20100923-093335792

Isenberg, James and Marsden, Jerrold E. (1984) The York map is a canonical transformation. Journal of Geometry and Physics, 1 (1). pp. 85-105. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100819-105633160

1983

Salam, Fathi M. A. and Marsden, Jerrold E. and Varaiya, Pravin P. (1983) Arnold diffusion in the dynamics of a 4-machine power system undergoing a large fault. In: Proceedings of the 22nd IEEE Conference on Decision and Control. IEEE , pp. 1411-1414. http://resolver.caltech.edu/CaltechAUTHORS:20101027-095131751

Marsden, Jerrold E. (1983) Chaotic orbits by Melnikov's method: A survey of applications. IEEE Conference on Decision and Control, 22 . pp. 356-359. ISSN 0191-2216. http://resolver.caltech.edu/CaltechAUTHORS:20101015-101923078

Buchner, Michael and Marsden, Jerrold E. and Schechter, Stephen (1983) Examples for the Infinite Dimensional Morse Lemma. SIAM Journal on Mathematical Analysis, 14 (6). pp. 1045-1055. ISSN 0036-1410. http://resolver.caltech.edu/CaltechAUTHORS:BUCsiamjma83

Golubitsky, Martin and Marsden, Jerrold (1983) The Morse Lemma in Infinite Dimensions via Singularity Theory. SIAM Journal on Mathematical Analysis, 14 (6). pp. 1037-1044. ISSN 0036-1410. http://resolver.caltech.edu/CaltechAUTHORS:GOLsiamjma83

Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, T. et al. (1983) Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics. Physics Letters A, 98 (1-2). pp. 15-21. ISSN 0375-9601. http://resolver.caltech.edu/CaltechAUTHORS:20100812-143646961

Salam, Fathi M. A. and Marsden, Jerrold E. and Varaiya, Pravin P. (1983) Chaos and Arnold diffusion in dynamical systems. IEEE Transactions on Circuits and Systems, 30 (9). pp. 697-708. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:SALieeetc83

Wan, Y. H. and Marsden, J. E. (1983) Symmetry and Bifurcation in Three-Dimensional Elasticity. Part III: Stressed Reference Configurations. Archive for Rational Mechanics and Analysis, 84 (3). pp. 203-233. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100917-081331049

Buchner, Michael and Marsden, Jerrold and Schecter, Stephen (1983) Applications of the blowing-up construction and algebraic geometry to bifurcation problems. Journal of Differential Equations, 48 (3). pp. 404-433. ISSN 0022-0396. http://resolver.caltech.edu/CaltechAUTHORS:20100715-114630209

Marsden, Jerrold E. and Weinstein, Alan J. (1983) Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Physica D, 7 (1-3). pp. 305-323. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100910-121621517

Marsden, Jerrold E. (1983) Bifurcation and linearization stability in the traction problem. In: Systems of nonlinear partial differential equations. NATO ASI series. Series C, Mathematical and physical sciences. No.111. Reidel , Boston, pp. 367-372. ISBN 9027716293 http://resolver.caltech.edu/CaltechAUTHORS:20101015-090506663

Marsden, Jerrold E. and Ratiu, T. and Schmid, R. et al. (1983) Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Atti della Accademia delle scienze di Torino, 117 (1). pp. 289-340. ISSN 0001-4419. http://resolver.caltech.edu/CaltechAUTHORS:20100922-080914569

Holmes, Philip J. and Marsden, Jerrold E. (1983) Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups. Indiana University Mathematics Journal, 32 (2). pp. 273-309. ISSN 0022-2518. http://resolver.caltech.edu/CaltechAUTHORS:20100812-073103843

Marsden, J. E. (1983) The Initial Value Problem and the Dynamics of Gravitational Fields. In: Proceedings of the Ninth International Conference on General Relativity and Gravitation. Cambridge ; New York : Cambridge University Press , pp. 115-126. ISBN 0521246695 http://resolver.caltech.edu/CaltechAUTHORS:20100922-104107743

Marsden, J. E. and Wan, Y. H. (1983) Linearization stability and Signorini series for the traction problems in elastostatics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 95 (1-2). pp. 171-180. ISSN 0308-2105. http://resolver.caltech.edu/CaltechAUTHORS:20100922-100054148

Marsden, Jerrold and Hughes, Thomas J. R. (1983) Mathematical foundations of elasticity. Dover Publications, Inc. , New York. ISBN 0-486-67865-2 http://resolver.caltech.edu/CaltechBOOK:1983.002

Chillingworth, D. R. J. and Marsden, J. E. and Wan, Y. H. (1983) Symmetry and bifurcation in three-dimensional elasticity. Part II. Archive for Rational Mechanics and Analysis, 83 (4). pp. 363-395. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20101012-145033094

1982

Chillingworth, D. R. J. and Marsden, J. E. and Wan, Y. H. (1982) Symmetry and bifurcation in three-dimensional elasticity, part I. Archive for Rational Mechanics and Analysis, 80 (4). pp. 295-331. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100730-132845713

Arms, Judith M. and Marsden, Jerrold E. and Moncrief, Vincent (1982) The Structure of the Space of Solutions of Einstein's Equations II: Several Killing Fields and the Einstein-Yang-Mills Equations. Annals of Physics, 144 (1). pp. 81-106. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20100712-153232050

Isenberg, James and Marsden, Jerrold E. (1982) A slice theorem for the space of solutions of Einstein's equations. Physics Reports, 89 (2). pp. 179-222. ISSN 0370-1573. http://resolver.caltech.edu/CaltechAUTHORS:20100819-103014609

Ball, J. M. and Marsden, J. E. and Slemrod, M. (1982) Controllability for Distributed Bilinear Systems. SIAM Journal on Control and Optimization, 20 (4). pp. 575-597. ISSN 0363-0129. http://resolver.caltech.edu/CaltechAUTHORS:BALsiamjco82

Holmes, Philip J. and Marsden, Jerrold E. (1982) Melnikov's method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Journal of Mathematical Physics, 23 (4). pp. 669-675. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:HOLjmp82

Marsden, Jerrold E. and Weinstein, Alan J. (1982) The Hamiltonian structure of the Maxwell-Vlasov equations. Physica D, 4 (3). pp. 394-406. ISSN 0167-2789. http://resolver.caltech.edu/CaltechAUTHORS:20100910-112829181

Holmes, Philip J. and Marsden, Jerrold E. (1982) Horseshoes in Perturbations of Hamiltonian Systems with Two Degrees of Freedom. Communications in Mathematical Physics, 82 (4). pp. 523-544. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100812-071719986

Marsden, Jerrold E. (1982) Four Applications of Nonlinear Analysis to Physics and Engineering. In: New directions in applied mathematics : papers presented April 25/26, 1980, on the occasion of the Case centennial celebration. Springer-Verlag , New York, pp. 85-107. ISBN 0387906045 http://resolver.caltech.edu/CaltechAUTHORS:20100825-090123755

Marsden, Jerrold E. (1982) Spaces of solutions of relativistic field theory with constraints. In: Differential geometric methods in mathematical physics, Clausthal 1980 : proceedings of an international conference held at the Technical University of Clausthal, FRG, July 23-25, 1980. Lecture Notes in Mathematics. No.905. Springer-Verlag , New York, pp. 29-43. ISBN 0387111972 http://resolver.caltech.edu/CaltechAUTHORS:20100825-105142237

Marsden, Jerrold E. (1982) A group theoretic approach to the equations of plasma physics. Canadian Mathematical Bulletin, 25 (2). pp. 129-142. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100825-103110885

1981

Holmes, Philip and Marsden, Jerrold E. (1981) A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Archive for Rational Mechanics and Analysis, 76 (1). pp. 135-165. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100811-095206370

Arms, Judith M. and Marsden, Jerrold E. and Moncrief, Vincent (1981) Symmetry and Bifurcations of Momentum Mappings. Communications in Mathematical Physics, 78 (4). pp. 455-478. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100712-140837776

Marsden, Jerrold and Weinstein, Alan J. (1981) Calculus Unlimited. Benjamin/Cummings Publishing Company, Inc. , Menlo Park, CA. ISBN 0-8053-6932-5 http://resolver.caltech.edu/CaltechBOOK:1981.001

1980

Marsden, Jerrold E. and Tipler, Frank J. (1980) Maximal hypersurfaces and foliations of constant mean curvature in general relativity. Physics Reports, 66 (3). pp. 109-139. ISSN 0370-1573. http://resolver.caltech.edu/CaltechAUTHORS:20100910-092318457

Marsden, Jerrold E. and Holmes, Philip J. (1980) A horseshoe in the dynamics of a forced beam. Annals of the New York Academy of Sciences, 357 (1). pp. 313-321. ISSN 0077-8923. http://resolver.caltech.edu/CaltechAUTHORS:20101014-142728239

Ball, J. M. and Marsden, J. E. and Slemrod, M. (1980) Controllability and stabilizability of distributed bilinear systems: Recent results and open problems. In: Winter Annual Meeting of the American Society of Mechanical Engineers, November 16-21, 1980, Chicago, Illinois. http://resolver.caltech.edu/CaltechAUTHORS:20101028-115829555

Holmes, Philip J. and Marsden, Jerrold E. (1980) Dynamical Systems and Invariant Manifolds. In: New Approaches to Nonlinear Problems in Dynamics. Society for Industrial and Applied Mathematics , Philadelphia, Pa., pp. 1-28. ISBN 0898711673 http://resolver.caltech.edu/CaltechAUTHORS:20100825-082848759

Fischer, Arthur E. and Marsden, Jerrold E. and Moncrief, Vincent (1980) Symmetry breaking in general relativity. In: Essays in general relativity : a festschrift for Abraham Taub. Academic Press , New York, pp. 79-96. ISBN 0126913801 http://resolver.caltech.edu/CaltechAUTHORS:20101014-091904851

Fischer, Arthur E. and Marsden, Jerrold E. and Moncrief, Vincent (1980) The structure of the space of solutions of Einstein's equations. I. One Killing field. Annales de l'Institut Henri Poincare?. Section A, Physique the?orique, 33 (2). pp. 147-194. ISSN 0020-2339. http://resolver.caltech.edu/CaltechAUTHORS:20100920-103429941

1979

Holmes, Philip and Marsden, Jerrold E. (1979) Qualitative Techniques for Bifurcation Analysis of Complex Systems. Annals of the New York Academy of Sciences, 316 (1). pp. 608-622. ISSN 0077-8923. http://resolver.caltech.edu/CaltechAUTHORS:20100811-092955079

Arms, Judith M. and Marsden, Jerrold E. (1979) The Absence of Killing Fields is Necessary for Linearization Stability of Einstein's Equations. Indiana University Mathematics Journal, 28 (1). pp. 119-125. ISSN 0022-2518. http://resolver.caltech.edu/CaltechAUTHORS:20100712-115735464

Choquet-Bruhat, Y. and Fischer, A. E. and Marsden, J. E. (1979) Maximal Hypersurfaces and Positivity of Mass. In: Isolated gravitating systems in general relativity. Proceedings of the International School of Physics "Enrico Fermi". No.67. North-Holland , New York, pp. 396-456. ISBN 0444853294 http://resolver.caltech.edu/CaltechAUTHORS:20101012-121634062

Fischer, A. E. and Marsden, J. E. (1979) Topics in the Dynamics or General Relativity. In: Isolated Gravitating Systems in General Relativity. Proceedings of the International School of Physics "Enrico Fermi". No.67. North-Holland , New York, pp. 322-395. ISBN 0444853294 http://resolver.caltech.edu/CaltechAUTHORS:20101014-081344337

Fischer, Arthur E. and Marsden, Jerrold E. (1979) The initial value problem and the dynamical formulation of general relativity. In: General relativity : an Einstein centenary survey. Cambridge University Press , New York, pp. 138-211. ISBN 9780521299282 http://resolver.caltech.edu/CaltechAUTHORS:20101014-090414788

1978

Marsden, Jerrold E. (1978) Qualitative methods in bifurcation theory. Bulletin of the American Mathematical Society, 84 (6). pp. 1125-1148. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100824-152914738

Holmes, Philip and Marsden, Jerrold (1978) Bifurcation to Divergence and Flutter in Flow-induced Oscillations: An Infinite Dimensional Analysis. Automatica, 14 (4). pp. 367-384. ISSN 0005-1098. http://resolver.caltech.edu/CaltechAUTHORS:20100811-080842986

Chorin, Alexandre J. and Hughes, Thomas J. R. and McCracken, Marjorie F. et al. (1978) Product formulas and numerical algorithms. Communications on Pure and Applied Mathematics, 31 (2). pp. 205-256. ISSN 0010-3640. http://resolver.caltech.edu/CaltechAUTHORS:20100728-092800886

Hughes, Thomas J. R. and Marsden, Jerrold E. (1978) Classical elastodynamics as a linear symmetric hyperbolic system. Journal of Elasticity, 8 (1). pp. 97-110. ISSN 0374-3535. http://resolver.caltech.edu/CaltechAUTHORS:20100817-141950692

Holmes, Philip J. and Marsden, Jerrold E. (1978) Bifurcations of dynamical systems and nonlinear oscillations in engineering systems. In: Nonlinear Partial Differential Equations and Applications. Lectures Notes in Mathematics. No.648. Springer , pp. 163-206. ISBN 9783540087595 http://resolver.caltech.edu/CaltechAUTHORS:20100811-085353807

Marsden, Jerrold E. (1978) On the Geometry of the Liapunov-Schmidt Procedure. In: Global analysis : proceedings of the biennial seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 12-27, 1978. Lecture Notes in Mathematics . No.755. Springer-Verlag , New York, pp. 77-82. ISBN 0387097031 http://resolver.caltech.edu/CaltechAUTHORS:20100825-080244770

Marsden, Jerrold E. and Hughes, T. J. R. (1978) Topics in the mathematical foundations of elasticity. In: Nonlinear analysis and mechanics. Research Notes in Mathematics. Vol.2. No.27. Pitman Advanced Publishing Program , pp. 30-285. ISBN 0273084208 http://resolver.caltech.edu/CaltechAUTHORS:20100817-145552751

Ball, J. M. and Knops, R. J. and Marsden, J. E. (1978) Two examples in nonlinear elasticity. In: Journées d?Analyse Non Linéaire. Lecture Notes in Mathematics. No.665. Springer Berlin , pp. 41-48. ISBN 9783540089223 http://resolver.caltech.edu/CaltechAUTHORS:20100713-071802791

1977

Hughes , Thomas J. R. and Kato, Tosio and Marsden, Jerrold E. (1977) Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Archive for Rational Mechanics and Analysis, 63 (3). pp. 273-294. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100817-114853033

Hughes, Thomas J. R. and Marsden, Jerrold E. (1977) Some applications of geometry is continuum mechanics^(*1). Reports on Mathematical Physics, 12 (1). pp. 35-44. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20100817-133824910

Fischer, Arthur E. and Marsden, Jerrold E. (1977) The manifold of conformally equivalent metrics. Canadian Journal of Mathematics, 29 (1). pp. 193-209. ISSN 0008-414X. http://resolver.caltech.edu/CaltechAUTHORS:20100809-081713326

Marsden, Jerrold E. (1977) Attempts to relate the Navier-Stokes equations to turbulence. In: Turbulence Seminar, Berkeley 1976/77. Lecture Notes in Mathematics. No.615. Springer-Verlag , New York, pp. 1-35. ISBN 0387084452 http://resolver.caltech.edu/CaltechAUTHORS:20100824-135552738

Chernoff, Paul R. and Marsden, Jerrold E. (1977) Some remarks on Hamiltonian systems and quantum mechanics. In: Foundations and Philosophy of Statistical Theories in the Physical Sciences. University of Western Ontario.; University of Western Ontario series in philosophy of science. Vol.III. No.6. Reidel , Dordrecht, pp. 35-53. ISBN 9027706212 http://resolver.caltech.edu/CaltechAUTHORS:20100924-072416077

1976

Choquet-Bruhat, Yvonne and Marsden, Jerrold E. (1976) Solution of the Local Mass Problem in General Relativity. Communications in Mathematical Physics, 51 (3). pp. 283-296. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100730-082059316

Cantor, M. and Fischer, A. and Marsden, J. et al. (1976) The Existence of Maximal Slicings in Asymptotically Flat Spacetimes. Communications in Mathematical Physics, 49 (2). pp. 187-190. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100715-131351249

Choquet-Bruhat, Yvonne and Fisher, Arthur and Marsden, Jerrold E. (1976) Equations des contraintes sur une variété non compacte. Comptes rendus hebdomadaires des se?ances de l'Acade?mie des Sciences. A, Sciences mathe?matiques, B, Sciences physiques, 284 . pp. 975-978. ISSN 0336-6034. http://resolver.caltech.edu/CaltechAUTHORS:20100928-093500954

Fischer, Arthur E. and Marsden, Jerrold E. (1976) Deformations of non-linear partial differential equations. In: Ge?ome?trie symplectique et physique mathe?matique. Colloques Internatioaux CNRS. No.237. CNRS , Paris, pp. 331-345. ISBN 222201784X http://resolver.caltech.edu/CaltechAUTHORS:20100924-142341206

Marsden, J. E. and McCracken, M. (1976) The Hopf Bifurcation and Its Applications. Applied Mathematical Sciences. Vol.19. Springer-Verlag , New York, NY. ISBN 0-38790200-7 http://resolver.caltech.edu/CaltechBOOK:1976.001

Choquet-Bruhat, Yvonne and Marsden, Jerrold E. (1976) Sur la positivité de la masse. Comptes rendus hebdomadaires des se?ances de l'Acade?mie des Sciences. A, Sciences mathe?matiques, B, Sciences physiques, 282 . pp. 609-612. ISSN 0336-6034. http://resolver.caltech.edu/CaltechAUTHORS:20100928-110936810

Bourguignon, J. P. and Ebin, David G. and Marsden, Jerrold E. (1976) Sur le noyau des opérateurs pseudo-differentiels á symbole surjectif et non injectif. Comptes rendus hebdomadaires des se?ances de l'Acade?mie des Sciences. A, Sciences mathe?matiques, B, Sciences physiques, 282 . pp. 867-870. ISSN 0336-6034. http://resolver.caltech.edu/CaltechAUTHORS:20100928-104323493

Marsden, Jerrold E. (1976) Well-posedness of the equations of a non-homogeneous perfect fluid. Communications in Partial Differential Equation, 1 (3). pp. 215-230. ISSN 0360-5302. http://resolver.caltech.edu/CaltechAUTHORS:20100824-134820097

Fischer, Arthur E. and Marsden, Jerrold E. (1976) A new Hamiltonian structure for the dynamics of general relativity. General Relativity and Gravitation, 7 (12). pp. 915-920. ISSN 0001-7701. http://resolver.caltech.edu/CaltechAUTHORS:20100809-080023757

1975

Arms, Judith Meryl and Fischer, Arthur Eliot and Marsden, Jerrold Eldon (1975) Géometrie différentielle : une approche symplectique pour des théorémes de décomposition en géométrie ou relativité générale. Comptes rendus hebdomadaires des se?ances de l'Acade?mie des Sciences. A, Sciences mathe?matiques, B, Sciences physiques, 281 . pp. 517-520. ISSN 0336-6034. http://resolver.caltech.edu/CaltechAUTHORS:20100921-101058272

Fischer, Arthur E. and Marsden, Jerrold E. (1975) Deformations of the scalar curvature. Duke Mathematical Journal, 42 (3). pp. 519-547. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:20100806-092940058

Fischer, Arthur E. and Marsden, Jerrold E. (1975) Linearization stability of nonlinear partial differential equations. Proceedings of Symposia in Pure Mathematics , 27 (2). pp. 219-263. ISSN 0082-0717 . http://resolver.caltech.edu/CaltechAUTHORS:20100806-095929800

Chernoff, P. R. and Marsden, J. E. (1975) Some basic properties of infinite dimensional Hamiltonian systems. In: Géométrie symplectique et physique mathématique. Colloques internationaux du Centre national de la recherche scientifique. No.237. Éditions du C.N.R.S. , Paris, pp. 313-330. ISBN 222201784X http://resolver.caltech.edu/CaltechAUTHORS:20101012-125924511

1974

Fischer, Arthur E. and Marsden, Jerrold E. (1974) Manifolds of Riemannian metrics with prescribed scalar curvature. Bulletin of the American Mathematical Society, 80 (3). pp. 479-484. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100806-085207211

Fischer, Arthur E. and Marsden, Jerrold E. (1974) Global analysis and general relativity. General Relativity and Gravitation, 5 (1). pp. 73-77. ISSN 0001-7701. http://resolver.caltech.edu/CaltechAUTHORS:20100806-091542839

Marsden, Jerrold E. and Weinstein, Alan J. (1974) Reduction of symplectic manifolds with symmetry. Reports on Mathematical Physics, 5 (1). pp. 121-130. ISSN 0034-4877. http://resolver.caltech.edu/CaltechAUTHORS:20100910-101924768

Marsden, J. (1974) A formula for the solution of the Navier-Stokes equation based on a method of Chorin. Bulletin of the American Mathematical Society, 80 (1). pp. 154-158. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100824-133940964

Marsden, Jerrold E. (1974) Applications of global analysis in mathematical physics. Mathematics Lecture Series. Vol.2. , Inc. , Berkeley, CA. ISBN 0-914098-11-X http://resolver.caltech.edu/CaltechBOOK:1974.001

Marsden, Jerrold E. and Fischer, Arthur E. (1974) General relativity as a Hamiltonian system. Symposia Mathematica, 14 . pp. 193-205. ISSN 0082-0725. http://resolver.caltech.edu/CaltechAUTHORS:20100924-084931747

1973

Marsden, J. E. (1973) On completeness of homogeneous Pseudo-Riemannian manifolds. Indiana University Mathematics Journal, 22 (11). pp. 1065-1066. ISSN 0022-2518. http://resolver.caltech.edu/CaltechAUTHORS:20100824-114607437

Fischer, Arthur E. and Marsden, Jerrold E. (1973) Linearization stability of the Einstein equations. Bulletin of the American Mathematical Society, 79 (5). pp. 997-1003. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100806-075617811

Fischer, Arthur E. and Marsden, Jerrold E. (1973) New theoretical techniques in the study of gravity. General Relativity and Gravitation, 4 (4). pp. 309-317. ISSN 0001-7701. http://resolver.caltech.edu/CaltechAUTHORS:20100806-073534073

Marsden, J. (1973) The Hopf bifurcation for nonlinear semigroups. Bulletin of the American Mathematical Society, 79 (3). pp. 537-541. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100824-120043727

Fischer, Arthur E. and Marsden, Jerrold E. (1973) General relativity partial differential equations and dynamical systems. In: Partial Differential Equations. Proceedings of symposia in pure mathematics. No.23. American Mathematical Society , pp. 309-327. ISBN 9780821814239 http://resolver.caltech.edu/CaltechAUTHORS:20100920-074340576

Marsden, J. E. (1973) On Global Solutions for Non-Linear Hamiltonian Evolution Equations. Communications in Mathematical Physics, 30 (1). pp. 79-81. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100824-113752104

Marsden, J. E. (1973) On product formulas for nonlinear semigroups. Journal of Functional Analysis, 13 (1). pp. 51-72. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20100824-112618819

Marsden, J. (1973) A proof of the Calderon extension theorem. Canadian Mathematical Bulletin, 16 (1). pp. 133-136. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-120805312

1972

Fischer, Arthur E. and Marsden, Jerrold E. (1972) The Einstein Evolution Equations as a First-Order Quasi-Linear Symmetric Hyperbolic System, I. Communications in Mathematical Physics, 28 (1). pp. 1-38. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100805-105052295

Fischer, A. E. and Marsden, Jerrold E. (1972) The Einstein Equations of Evolution - A Geometric Approach. Journal of Mathematical Physics, 13 (4). pp. 546-568. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:FISjmp72

Fischer, Arthur E. and Marsden, Jerrold E. (1972) The Einstein Equations of Evolution -- A Geometric Approach. Journal of Mathematical Physics, 13 (4). pp. 546-568. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20100805-131714334

Marsden, J. E. (1972) Darboux's Theorem Fails for Weak Symplectic Forms. Proceedings of the American Mathematical Society, 32 (2). pp. 590-592. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20100824-111703018

Marsden, Jerrold E. and Ebin, David G. and Fischer, Arthur E. (1972) Diffeomorphism groups, hydrodynamics and relativity. In: Proceedings of the 13th Biennial Seminar of Canadian Mathematical Congress. Canadian Mathematical Congress , pp. 135-279. ISBN 9780919558038 http://resolver.caltech.edu/CaltechAUTHORS:20100907-071638898

Fischer, Arthur E. and Marsden, Jerrold E. (1972) General Relativity as a dynamical system on the manifolds ? of Riemannian metrics which cover diffeomorphisms. In: Proceedings of the Regional Conference on Relativity. Lecture Notes in Physics. No.14. Springer-Verlag , Pittsburgh, Pennsylvania, pp. 176-188. ISBN 9783540057932 http://resolver.caltech.edu/CaltechAUTHORS:20100805-111815142

1970

Weinstein, Alan J. and Marsden, Jerrold E. (1970) A comparison theorem for Hamiltonian vector fields. Proceedings of the American Mathematical Society, 26 (4). pp. 629-631. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20100910-101004513

Chernoff, P. and Marsden, J. (1970) On continuity and smoothness of group actions. Bulletin of the American Mathematical Society, 76 (5). pp. 1044-1049. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100730-075247650

Ebin, David G. and Marsden, Jerrold (1970) Groups of diffeomorphisms and the motion of an incompressible fluid. Annals of Mathematics, 92 (1). pp. 102-163. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20100908-073316973

Marsden, J. and Abraham, R. (1970) Hamiltonian mechanics on Lie groups and hydrodynamics. In: Global Analysis. Proceedings of Symposia of Pure Mathematics. No.16. American Mathematical Society , Providence, R.I., pp. 237-244. ISBN 0821814141 http://resolver.caltech.edu/CaltechAUTHORS:20101001-154933140

Ebin, David G. and Marsden, Jerrold E. (1970) On the motion of incompressible fluids. In: Actes du congre?s international des mathe?maticiens, 1970 : Ge?ometrie et topologie. Vol.2. Gauthier- Villars , Paris, pp. 211-214. http://resolver.caltech.edu/CaltechAUTHORS:20100928-084503071

1969

Ebin, David G. and Marsden, Jerrold E. (1969) Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid. Bulletin of the American Mathematical Society, 75 (5). pp. 962-967. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100804-110143569

Marsden, J. E. (1969) Hamiltonian systems with spin. Canadian Mathematical Bulletin, 1969 (n/g). pp. 203-208. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-110839701

Marsden, Jerrold E. (1969) Non smooth geodesic flows and classical mechanics. Canadian Mathematical Bulletin, 12 . pp. 209-212. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-105109180

1968

Marsden, J. E. (1968) Countable and net convergence. American Mathematical Monthly, 75 (4). ISSN 0002-9890. http://resolver.caltech.edu/CaltechAUTHORS:20100824-104216924

Marsden, J. (1968) A Banach space of analytic functions for constant coefficient equations of evolution. Canadian Mathematical Bulletin, 11 (4). pp. 599-601. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-095005344

Marsden, J. E. (1968) Generalized Hamiltonian mechanics. Archive for Rational Mechanics and Analysis, 28 (5). pp. 323-361. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100824-103316874

Marsden, J. E. (1968) Hamiltonian one parameter groups. Archive for Rational Mechanics and Analysis, 28 (5). pp. 362-396. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100824-100207998

1967

Wightman, A. S. and Marsden, J. E. (1967) Lectures on Statistical Mechanics (II). Princeton University . http://resolver.caltech.edu/CaltechAUTHORS:Wightman_as_1967

Marsden, J. E. (1967) A correspondence principle for momentum operators. Canadian Mathematical Bulletin, 10 (2). pp. 247-250. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-092557135

1966

Wightman, A. S. and Marsden, J. E. and Capri, A. Z. et al. (1966) Lectures on Statistical Mechanics (I). Princeton University . http://resolver.caltech.edu/CaltechAUTHORS:Wightman_as_1966

Beattie, Mary and Marsden, J. E. and Sharpe, R. W. (1966) Order in finite affine planes. Canadian Mathematical Bulletin, 66 (4). pp. 407-411. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100713-085339145

Sharpe, R. and Beattie, M. and Marsden, J. (1966) A universal factorization theorem in topology. Canadian Mathematical Bulletin, 9 (2). pp. 201-207. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100713-084130942

1965

Marsden, J. E. (1965) A theorem on harmonic homologies. Canadian Mathematical Bulletin, 8 (1). pp. 375-377. ISSN 0008-4395. http://resolver.caltech.edu/CaltechAUTHORS:20100824-085451570

This list was generated on Sun Sep 21 21:55:36 2014 PDT.