Marsden Publications | Caltech Library

Jerrold E. 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: 461.

2012

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. and Marsden, J. E. (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. and Marsden, J. E. and Desbrun, M. (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

Mullen, P. and McKenzie, A. and Pavlov, D. and Durant, L. and Tong, Y. and Kanso, E. and Marsden, J. E. and Desbrun, M. (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-Bl�baum, 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. and Kanso, E. and Marsden, J. E. and Desbrun, M. (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. and Ortiz, M. (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. and Zenkov, Dmitry V. (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 and Campagnola, Stefano (2010) Titan Trajectory Design Using Invariant Manifolds and Resonant Gravity Assists. In: Spaceflight Mechanics 2010. Advances in astronautical sciences (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-Bl�baum, 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 Br�nz?nescu, Vasile and Iserles, Arieh and Marsden, Jerrold E. and Ratiu, Tudor S. (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 f�r Angewandte Mathematik und Mechanik, 60 (4). pp. 723-738. ISSN 0044-2275 http://resolver.caltech.edu/CaltechAUTHORS:20090904-135011987

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

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

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 and Campagnola, Stefano (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

Shadden, Shawn C. and Lekien, Francois and Paduan, Jeffrey D. and Chavez, Francisco P. and Marsden, Jerrold E. (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

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

Castrill�n L�pez, 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 and Moore, Ashley (2009) Invariant manifolds, discrete mechanics, and trajectory design for a mission to Titan. In: Spaceflight mechanics 2009. Advances in the Astronautical Sciences , 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. Springer-Verlag , New York, pp. 5482-5510. ISBN 9780387758886 http://resolver.caltech.edu/CaltechAUTHORS:20101005-095157909

Moore, Ashley and Ober-Bl�baumy, 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 , 134 (part III). 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. and Marsden, Jerrold E. and Kamocka, Malgorzata M. and Rosen, Elliot D. and Alber, Mark (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

Castrill�n L�pez, 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 f�r 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. and Sanyal, Amit K. (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 and Marsden, Jerrold E. (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. and Sukhatme, Gaurav S. (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. and Ortiz, Michael (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

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

Castrill�n L�pez, 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. and Zenkov, D. V. (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. and Marsden, J. E. (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

2007

Shadden, S. C. and Katija, K. and Rosenfeld, M. and Marsden, J. E. and Dabiri, J. O. (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. and Kevrekidis, Ioannis G. (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. and Zenkov, Dmitry V. (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. and Haller, George and Marsden, Jerrold E. (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 and Yavari, Arash and Marsden, Jerrold E. and Desbrun, Mathieu (2007) On the geometric character of stress in continuum mechanics. Zeitschrift f�r 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. and Kevrekidis, Ioannis G. (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 (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. and Ross, S. D. and Yanao, T. (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. and West, Matthew (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. and Marsden, J. E. (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. and Zenkov, Dmitry V. (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. and Scheeres, D. J. (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 and Zenkov, Dmitry V. (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. and Kanso, E. and Marsden, J. E. and Schr�der, P. and Desbrun, M. (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-Bl�baum, 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. and Ross, Shane D. (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. and Ryan, Edward H. and Shay, Lynn K. and Haller, George and Marsden, Jerry (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. and Melli-Huber, J. B. (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. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca (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 Poincar� 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

Hern�ndez-Gardu�o, 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. and Mohseni, K. and West, M. (2005) Lagrangian Averaging for Compressible Fluids. Multiscale Modeling and Simulation, 3 (4). pp. 818-837. ISSN 1540-3459 http://resolver.caltech.edu/CaltechAUTHORS:BHAmms05

Hern�ndez-Gardu�o, 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, Hern�n 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 and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca (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. and Padberg, K. and Thiere, B (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 (Supplement). pp. 297-306. ISSN 1078-0947 http://resolver.caltech.edu/CaltechAUTHORS:20100921-140434645

2004

Lekien, F. and Coulliette, C. and Bank, R. and Marsden, J. E. (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. 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 (232). Birkh�user Boston , pp. 203-235. ISBN 0817635653 http://resolver.caltech.edu/CaltechAUTHORS:20100810-153020247

Gomez, G. and Koon, W. S. and Lo, M. W. and Marsden, J. E. and Masdemont, J. and Ross, S. D. (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. and West, M. (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 and Lo, Martin and Scheeres, Dan J. (2004) Geometric Mechanics and the Dynamics of Asteroid Pairs. In: Astrodynamics, space missions, and chaos. Annals of the New York Academy of Sciences (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. and Marsden, J. E. (2004) Application of dynamical systems theory to a very low energy transfer. In: AAS/AIAA Spaceflight Mechanics Meeting 2004. Advances in the Astronautical Sciences (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. and Chang, Dong Eui and Leonard, Naomi Ehrich and Marsden, Jerrold E. (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) (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 and West, Matthew (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. and Olfati-Saber, Reza (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

Castrill�n L�pez, 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, Hern�n and Marsden, Jerrold E. and Pekarsky, Sergey and Ratiu, Tudor S. (2003) Variational Principles for Lie?Poisson and Hamilton?Poincar� 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 : 7th Experimental Chaos Conference, San Diego, California, 26-29 August 2002. American Institute of Physics Conference Proceedings (676). American Institute of Physics , Melville, NY, pp. 162-168. ISBN 0-7354-0145-4 http://resolver.caltech.edu/CaltechAUTHORS:LEKaipcp03

Hern�n, Cendra and Marsden, Jerrold E. and Pekarsky, Sergey and Ratiu, Tudor S. (2003) Variational principles for Lie-Poisson and Hamilton-Poincar� 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. and West, M. (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 and Marsden, Jerrold E. (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. and Lust, Kurt (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, Hern�n 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. 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. and Marsden, J. E. (2003) Design of a Multi-Moon Orbiter. In: Spaceflight Mechanics 2003. Advances in the Astronautical Sciences (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, 295 . Springer Berlin , pp. 145-159. ISBN 9783540404743 http://resolver.caltech.edu/CaltechAUTHORS:20100730-114620195

G�mez, G. and Koon, W. S. and Lo, M. W. and Marsden, J. E. and Ross, S. D. and Masdemont, J. J. (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. and West, M. (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

Jaff�, Charles and Ross, Shane D. and Lo, Martin W. and Marsden, Jerrold and Farrelly, David and Uzer, T. (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. and Ratiu, Tudor S. (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. and Marsden, Jerrold E. and Woolsey, Craig A. (2002) The equivalence of controlled Lagrangian and controlled Hamiltonian systems. ESAIM: Control, Optimisation and Calculus of Variations, 8 (Special Issue). 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. and Marsden, Jerrold E. and Petzold, Linda R. and Ross, Shane D. and Wilson, Roby S. (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. and Ortiz, M. (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. and Kelly, Scott D. (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-Poincar� Equations in Geophysical Fluid Dynamics. In: Large-scale Atmosphere-ocean Dynamics II: Geometric methods and models. 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. and Marsden, J. E. (2001) Dissipation and Controlled Euler-Poincar� Systems. In: Proceedings of the 40th IEEE Conference on Decision and Control, 2001. 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 and Marsden, Jerrold E. (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. and Ross, S. D. (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. and Ross, S. D. (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. and Holm, Darryl D. and Marsden, Jerrold E. (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, Hern�n 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 and West, Matthew (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-Poincar� 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 K�hler 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 (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. and Ross, Shane D. (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, Hern�n 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

G�mez, G. and Koon, W. S. and Lo, M. W. and Marsden, J. E. and Masdemont, J. and Ross, S. D. (2001) Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design. In: Astrodynamics 2001. Advances in Astronautical Sciences (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. and Masdemont, Josep (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 and Marsden, Jerrold E. (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. and Marsden, J. E. (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, J. E. and Weinstein, A. (2001) Some Comments on the History, Theory, and Applications of Symplectic Reduction. In: Quantization of Singular Symplectic Quotients. Progress in mathematics (198). Birkh�user Basel , Boston, pp. 1-20. ISBN 3764366087 http://resolver.caltech.edu/CaltechAUTHORS:20100913-083049249

2000

Kane, C. and Marsden, J. E. and Ortiz, M. and West, M. (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 and Marsden, Jerrold E. and Carati, Daniele and Wray, Alan and Rogallo, Robert (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. and Ortiz, M. (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-Lo�ve 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?Lo�ve 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

Luther, G. G. and Alber, M. S. and Marsden, J. E. and Robbins, J. M. (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. and Ross, Shane D. (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. and Pandolfi, A. (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

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. and Ross, Shane D. (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, J�rgen (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 Crouch, Peter E. and Marsden, Jerrold E. and Ratiu, Tudor S. (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

Bloch, Anthony M. and Chang, Dong Eui and Leonard, Naomi E. and Marsden, Jerrold E. and Woolsey, Craig (2000) Asymptotic stabilization of Euler-Poincar� 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. and Ross, Shane D. (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, Genevi�ve (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

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

Zenkov, Dmitry V. and Bloch, Anthony M. and Leonard, Naomi E. and Marsden, Jerrold E. (2000) Matching and Stabilization of Low-dimensional Nonholonomic Systems. In: Proceedings of the 39th IEEE Conference on Decision and Control, 2000. 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. and Marsden, Jerrold E. (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 and Marsden, Jerrold E. and Petzold, Linda R. and Ross, Shane D. and Wilson, Roby S. (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

Bloch, Anthony M. and Holm, Darryl D. and Crouch, Peter E. and Marsden, Jerrold E. (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

Marsden, Jerrold E. and Perlmutter, Matthew (2000) The Orbit Bundle Picture of Cotangent Bundle Reduction. Comptes Rendus Math�matiques de l'Acad�mie des Sciences. La Soci�t� 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 and Marsden, Jerrold E. (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. and Ross, Shane D. (2000) Shoot the Moon. In: Spaceflight mechanics 2000. Advances in astronautical sciences (105). American Astronautical Society , San Diego, pp. 1017-1030. ISBN 978-0-87703-470-4 http://resolver.caltech.edu/CaltechAUTHORS:20101005-082348046

1999

Alber, Mark S. and Camassa, Roberto and Fedorov, Yuri N. and Holm, Darryl D. and Marsden, Jerrold E. (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. and Robbins, Jonathan M. (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. and Marsden, J. E. (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-Poincar� 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 Societ� 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 and Ross, Shane (1999) The Genesis Trajectory and Heteroclinic Cycles. In: Astrodynamics 1999. Advances in Astronautical Sciences (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 and Verghese, George C. and Lesieutre, Bernard C. and Marsden, Jerrold E. (1999) Model reduction for analysis of cascading failures in power systems. In: American Control Conference, 1999. San Diego, CA, 2-4 June 1999. 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 (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. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1652-1657. ISBN 0-7803-5250-5 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc99

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. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 500-505. ISBN 0-7803-51 80-0-5 http://resolver.caltech.edu/CaltechAUTHORS:BLOieeeicra99

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

1998

Bloch, Anthony M. and Crouch, Peter E. and Marsden, Jerrold E. and Ratiu, Tudor S. (1998) Discrete rigid body dynamics and optimal control. In: IEEE Conference on Decision and Control, 37th, Tampa, FL, December 1998. 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. 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 and Ratiu, Tudor S. (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?Poincar� 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

Cendra, Hern�n and Holm, Darryl D. and Hoyle, Mark J. W. and Marsden, Jerrold E. (1998) The Maxwell?Vlasov equations in Euler?Poincar� 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-Poincar� 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. and Robbins, Jonathan M. (1998) Geometric Phases, Reduction and Lie-Poisson Structure for the Resonant Three-wave Interaction. Technical Reports, HPL-BRIMS-98-08. Hewlett-Packard Company . http://resolver.caltech.edu/CaltechAUTHORS:20100707-143741392

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

Cendra, Hern�n and Holm, Darryl D. and Marsden, Jerrold E. and Ratiu, Tudor S. (1998) Lagrangian Reduction, the Euler-Poincar� 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. 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

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. 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. 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 Schr�dinger 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. Birkh�user , 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. Birkh�user , pp. 219-261. ISBN 081763956X http://resolver.caltech.edu/CaltechAUTHORS:20100910-132222147

1996

Bloch, Anthony M. and Krishnaprasad, P. S. and Marsden, Jerrold E. and Murray, Richard M. (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. and Ratiu, Tudor S. (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 (8). AMS and Fields Institute , Calgary, AB, Canada. ISBN 9780821802540 http://resolver.caltech.edu/CaltechAUTHORS:20100709-153153548

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

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. IEEE , Piscataway, NJ, pp. 142-147. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a

Alber, Mark S. and Camassa, Roberto and Holm, Darryl D. and Marsden, Jerrold E. (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, J�rgen (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. and Murray, R. M. (1995) Nonholonomic Mechanical Systems with Symmetry. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.CIT-CDS-94-013

Golubitsky, Martin and Marsden, Jerrold E. and Stewart, Ian and Dellnitz, Michael (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

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. Institute of Electrical and Electronics Engineers , Piscataway, NJ, pp. 1397-1402. ISBN 0-7803-1965-6 http://resolver.caltech.edu/CaltechAUTHORS:GETieeeicra95

Ge, Zhong and Kruse, Hans Peter and Marsden, Jerrold E. and Scovel, Clint (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 Scheurle, J�rgen (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

Marsden, Jerrold E. and Ratiu, Tudor S. and Raugel, Genevi�ve (1995) �quations d'Euler dans une coque sph�rique 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. and Marsden, Jerrold E. (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. and Ratiu, Tudor S. (1994) Dissipation Induced Instabilities. Analyse Nonlineaire, Annales Institute H. Poincar�, 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 (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 (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 (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, J�rgen (1993) Lagrangian Reduction and the Double Spherical Pendulum. Zeitschrift f�r 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 (29). American Mathematical Society , pp. 307-317. ISBN 0821811347 http://resolver.caltech.edu/CaltechAUTHORS:20100924-075908242

Marsden, Jerrold E. and Scheurle, J�rgen (1993) The Reduced Euler-Lagrange Equations. In: Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems. Fields Institute Communications (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. and De Alvarez, G. Sanchez (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. and Marsden, J. E. (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 and Scheurle, J�rgen (1992) Generic Bifurcations of Pendula. In: Bifurcation and Symmetry: Cross Influence Between Mathematics and Applications. International Series of Numerical Mathematics, 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, 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. (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. and Ratiu, T. S. (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 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

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

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, J�rgen and Marsden, Jerrold E. and Holmes, Philip (1991) Exponentially small estimates for separatrix splittings. In: Asymptotics beyond All Orders. NATO Science Series B: Physics (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 (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. and Zombros, B. W. (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. and Simo, J. C. (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 "M�canique analytique" de Lagrange et son h�ritage : colloque, Accademia delle Scienze di Torino, 1, Paris, 27 - 29 septembre 1988. Acta Academiae Scientiarum Taurinensis , 1 (124 Suppl.). Accademia delle scienze di Torino , Torino, Italy, pp. 245-268. http://resolver.caltech.edu/CaltechAUTHORS:20101019-093814651

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

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

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. IEEE , Piscataway, NJ, pp. 2238-2242. http://resolver.caltech.edu/CaltechAUTHORS:BLOieeecdc89

Oh, Y. -G and Sreenath, N. and Krishnaprasad, P. S. and Marsden, J. E. (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. E. and Simo, J. C. and Lewis, D. and Posbergh, T. A. (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 (97). American Mathematical Society , pp. 297-313. ISBN 0821851047 http://resolver.caltech.edu/CaltechAUTHORS:20100910-080520844

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, 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 (97). American Mathematical Society , pp. 371-398. ISBN 0821851047 http://resolver.caltech.edu/CaltechAUTHORS:20100915-112730894

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

Sreenath, N. and Oh, Y. G. and Krishnaprasad, P. S. and Marsden, J. E. (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

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, J�rgen (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 (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, 71 . American Mathematical Society , Piscataway, NJ, pp. 221-235. ISBN 978-0-8218-5079-4 http://resolver.caltech.edu/CaltechAUTHORS:20100830-092110504

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, J�rgen (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 f�r Mathematik, Bonn. Aspects of Mathematics. E (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 (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. and Ratiu, T. S. (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. and Thompson, W. B. (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. and Moncrief, V. (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. and Ratiu, T. (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 (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 (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. and Weinstein, Alan (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 (1985) Calculus I. Springer-Verlag , New York. ISBN 0387909745 http://resolver.caltech.edu/CaltechBOOK:1985.001

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

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

1984

Marsden, Jerrold E. (1984) Chaos in dynamical systems by the Poincar�-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, J�rgen 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. and Ratiu, Tudor (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. and Weinstein, Alan (1984) Stability of rigid body motion using the Energy-Casimir method. In: Fluids and Plasmas: geometry and dynamics. Contemporary Mathematics (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 (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 (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. and Morrison, P. J. (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. Centre de recherches en physique des plasmas, Ecole polytechnique f�d�rale , Lausanne, Switzerland, pp. 204-206. http://resolver.caltech.edu/CaltechAUTHORS:20101026-154917202

Marsden, Jerrold E. and Morrison , Philip J. and Weinstein, Alan (1984) The Hamiltonian structure of the BBGKY hierarchy equations. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics (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 (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 (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 (1984) Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. In: Fluids and Plasmas : Geometry and Dynamics. Contemporary mathematics (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 (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 (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 (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. and Weinstein, Alan (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 (111). Reidel , Boston, pp. 367-372. ISBN 9027716293 http://resolver.caltech.edu/CaltechAUTHORS:20101015-090506663

Marsden, Jerrold E. and Weinstein, Alan and Ratiu, T. and Schmid, R. and Spencer, R. G. (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 (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) 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

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 (905). Springer-Verlag , New York, pp. 29-43. ISBN 0387111972 http://resolver.caltech.edu/CaltechAUTHORS:20100825-105142237

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 (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 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

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

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) 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

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

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

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

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" (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" (67). North-Holland , New York, pp. 322-395. ISBN 0444853294 http://resolver.caltech.edu/CaltechAUTHORS:20101014-081344337

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. and Marsden, Jerrold E. (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 (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 (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, 2 (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: Journ�es d?Analyse Non Lin�aire. Lecture Notes in Mathematics (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 (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, III (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. and Murchadha, N. �. (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 vari�t� 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 (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, 19 . Springer-Verlag , New York, NY. ISBN 0-38790200-7 http://resolver.caltech.edu/CaltechBOOK:1976.001

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

Choquet-Bruhat, Yvonne and Marsden, Jerrold E. (1976) Sur la positivit� 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 op�rateurs pseudo-differentiels � symbole surjctif 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

1975

Arms, Judith Meryl and Fischer, Arthur Eliot and Marsden, Jerrold Eldon (1975) G�ometrie diff�rentielle : une approche symplectique pour des th�or�mes de d�composition en g�om�trie ou relativit� g�n�rale. Comptes rendus hebdomadaires des se?ances de l'Acade?mie des Sciences. A, Sciences mathe?matiques, B, Sciences physiques, 281 (n/a). 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: G�om�trie symplectique et physique math�matique. Colloques internationaux du Centre national de la recherche scientifique (237). �ditions 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

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

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, Jerry (1974) Applications of global analysis in mathematical physics. Publish or Perish, 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 (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 (14). Springer-Verlag , Pittsburgh, Pennsylvania, pp. 176-188. ISBN 9783540057932 http://resolver.caltech.edu/CaltechAUTHORS:20100805-111815142

1970

Weinsten, Alan 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 (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. 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. and Svetlichny, G. (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 Wed May 16 08:30:32 2012 PDT.