Edit Profile (opens in new tab) Marsden, Jerrold Eldon Compute Distance To: Compute Author ID: marsden.jerrold-eldon Published as: Marsden, Jerrold E.; Marsden, J. E.; Marsden, Jerrold; Marsden, J.; Marsden, Jerry; Marsden, Jerrold Eldon; Marsden, Jerold more...less Further Spellings: Марсден Дж Homepage: http://www.cds.caltech.edu/~marsden/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 373 Publications since 1965, including 38 Books 21 Contributions as Editor · 7 Further Contributions Biographic References: 6 Publications Co-Authors: 201 Co-Authors with 350 Joint Publications 4,469 Co-Co-Authors all top 5 Co-Authors 42 single-authored 45 Ratiu, Tudor Stefan 24 Bloch, Anthony Michael 21 Fischer, Arthur Elliot 17 Weinstein, Alan David 15 Holm, Darryl D. 15 Krishnaprasad, P.s. 14 Alber, Mark S. 14 Koon, Wang Sang 14 Ortiz, Michael 12 Scheurle, Jürgen 11 Holmes, Philip J. 10 Shkoller, Steve 10 Simo, Juan Carlos 10 West, Matthew 9 Cendra, Hernán 9 Ross, Shane D. 8 Zenkov, Dmitry V. 7 Chang, Dong Eui 7 Desbrun, Mathieu 7 Hughes, Thomas J. R. 7 Lo, Martin W. 7 Pekarsky, Sergey 6 Choquet, Gustave 6 Ebin, David G. 6 Gelbart, Stephen S. 6 Kanso, Eva Adnan 6 Lance, T. 6 Leonard, Naomi Ehrich 6 Lewis, Debra 6 Moncrief, Vincent E. 5 Abraham, Ralph Herman 5 Camassa, Roberto 5 Chernoff, Paul R. 5 Dellnitz, Michael 5 Golubitsky, Martin A. 5 Kruse, Hans-Peter 5 Lekien, Francois 5 Tromba, Anthony Joseph 5 Yavari, Arash 5 Yoshimura, Hiroaki 4 Arms, Judith Meryl 4 Bou-Rabee, Nawaf M. 4 Castrillón López, Marco 4 Chorin, Alexandre Joel 4 Du Toit, Philip C. 4 Gotay, Mark J. 4 Jalnapurkar, Sameer M. 4 Krechetnikov, Rouslan 4 Luther, Gregory G. 4 Montgomery, Richard 4 Murray, Richard M. 4 Ober-Blöbaum, Sina 4 Owhadi, Houman 4 Posbergh, Thomas A. 4 Shadden, Shawn C. 4 Tao, Molei 4 Tong, Yiying 4 Wan, Yieh-Hei 3 Ball, John MacLeod 3 Choquet-Bruhat, Yvonne 3 Crouch, Peter E. 3 Fetecau, Razvan C. 3 Gabern, Frederic 3 Leok, Melvin 3 Mullen, Patrick 3 Pavlov, Dmitry V. 3 Perlmutter, Matthew 3 Raugel, Geneviève 3 Romero, Louis A. 3 Rowley, Clarence W. 3 Schecter, Stephen 3 Wendlandt, Jeffrey M. 2 Baillieul, John B. 2 Beattie, Margaret 2 Buchner, Michael A. 2 Chillingworth, D. R. J. 2 Dabiri, John O. 2 Fedorov, Yuri N. 2 Gawlik, Evan S. 2 Ge, Zhong 2 Hernández-Garduño, Antonio 2 Hoffman, Michael J. 2 Isenberg, James A. 2 Junge, Oliver 2 Khesin, Boris A. 2 Knops, Robin J. 2 Kobilarov, Marin 2 Krysl, Petr 2 Lall, Sanjay 2 Leyendecker, Sigrid 2 Mahalov, Alex 2 Melbourne, Ian 2 Misiołek, Gerard 2 Mohseni, Kamran 2 Morrison, Philip J. 2 Nair, Sujit 2 Oh, Yong-Geun 2 O’Reilly, Oliver Mary 2 Padberg-Gehle, Kathrin 2 Pandolfi, Anna ...and 147 more Co-Authors all top 5 Serials 18 Physica D 17 Archive for Rational Mechanics and Analysis 12 Communications in Mathematical Physics 10 Journal of Mathematical Physics 9 Canadian Mathematical Bulletin 8 Journal of Geometry and Physics 7 Nonlinearity 7 International Journal for Numerical Methods in Engineering 7 Bulletin of the American Mathematical Society 6 Reports on Mathematical Physics 5 Dynamics and Stability of Systems 5 Journal of Nonlinear Science 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Mathematical Analysis 4 Celestial Mechanics and Dynamical Astronomy 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Lecture Notes in Mathematics 4 Texts in Applied Mathematics 3 General Relativity and Gravitation 3 Automatica 3 IEEE Transactions on Automatic Control 3 Indiana University Mathematics Journal 3 SIAM Journal on Control and Optimization 3 Regular and Chaotic Dynamics 3 Foundations of Computational Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Publications du Département de Mathématiques 3 Contemporary Mathematics 3 Journal of Geometric Mechanics 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Fluid Dynamics Research 2 Theoretical and Computational Fluid Dynamics 2 IEEE Transactions on Circuits and Systems 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 Differential Geometry and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Robust and Nonlinear Control 2 Topological Methods in Nonlinear Analysis 2 Nonlinear Science Today 2 Physics of Fluids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Dynamics of Partial Differential Equations 2 Applied Mathematical Sciences 2 Fields Institute Communications 2 Interdisciplinary Applied Mathematics 2 Mathematics Lecture Series 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Undergraduate Texts in Mathematics 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Reviews of Modern Physics 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Optimal Control Applications & Methods 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal of Elasticity 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Canadian Applied Mathematics Quarterly 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Moscow Mathematical Journal ...and 11 more Serials all top 5 Fields 173 Dynamical systems and ergodic theory (37-XX) 162 Mechanics of particles and systems (70-XX) 76 Fluid mechanics (76-XX) 70 Differential geometry (53-XX) 63 Partial differential equations (35-XX) 61 Global analysis, analysis on manifolds (58-XX) 45 Mechanics of deformable solids (74-XX) 30 Systems theory; control (93-XX) 27 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 21 Relativity and gravitational theory (83-XX) 19 General and overarching topics; collections (00-XX) 15 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Operator theory (47-XX) 11 Manifolds and cell complexes (57-XX) 9 Topological groups, Lie groups (22-XX) 8 Functional analysis (46-XX) 6 Measure and integration (28-XX) 6 Potential theory (31-XX) 4 Algebraic geometry (14-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 350 Publications have been cited 13,232 times in 8,017 Documents Cited by ▼ Year ▼ Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 667 1983 Foundations of mechanics. 2nd ed., rev., enl., and reset. With the assistance of Tudor Ratiu and Richard Cushman. Zbl 0393.70001Abraham, Ralph; Marsden, Jerrold E. 587 1978 Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401Ebin, D. G.; Marsden, J. 541 1970 Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002Abraham, R.; Marsden, J. E.; Ratiu, T. 474 1988 The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007Marsden, J. E.; McCracken, M. 472 1976 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005Marsden, Jerrold; Weinstein, Alan 454 1974 Discrete mechanics and variational integrators. Zbl 1123.37327Marsden, Jerrold E.; West, M. 368 2001 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003Marsden, Jerrold E.; Ratiu, Tudor S. 336 1999 The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S. 295 1998 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 227 1985 Lectures on analysis. Vol. II: Representation theory. Edited by J. Marsden, T. Lance and S. Gelbart. Zbl 0181.39602Choquet, Gustave 195 1969 Multisymplectic geometry, variational integrators, and nonlinear PDEs. Zbl 0951.70002Marsden, Jerrold E.; Patrick, George W.; Shkoller, Steve 188 1998 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001Bloch, A. M. 185 2003 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 179 1996 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 177 2005 Lectures on mechanics. Zbl 0744.70004Marsden, Jerrold E. 154 1992 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 146 1977 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002Marsden, Jerrold E.; Ratiu, Tudor S. 142 1994 Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Zbl 1369.70038Ge, Zhong; Marsden, Jerrold E. 130 1988 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 122 1979 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008Marsden, Jerrold; Weinstein, Alan 102 1983 Reduction of Poisson manifolds. Zbl 0602.58016Marsden, Jerrold E.; Ratiu, Tudor 102 1986 Controllability for distributed bilinear systems. Zbl 0485.93015Ball, J. M.; Marsden, J. E.; Slemrod, M. 102 1982 General relativity. An Einstein centenary survey. Zbl 0424.53001 101 1979 Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004Kane, C.; Marsden, J. E.; Ortiz, M.; West, M. 99 2000 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 98 1990 Manifolds, tensor analysis, and applications. Zbl 0508.58001Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor 91 1983 The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E. 90 1994 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 90 1978 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 88 1984 Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. 87 2000 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507Wendlandt, Jeffrey M.; Marsden, Jerrold E. 86 1997 Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 86 2000 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 86 1993 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 84 1982 The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082Fischer, Arthur E.; Marsden, Jerrold E. 83 1972 Stability of relative equilibria. I: The reduced energy-momentum method. Zbl 0738.70010Simo, J. C.; Lewis, Debra; Marsden, J. E. 78 1991 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 77 2002 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 77 2004 The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates. Zbl 0668.73014Simo, Juan C.; Marsden, Jerrold E.; Krishnaprasad, P. S. 76 1988 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 75 2003 A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031Holmes, Philip; Marsden, Jerrold 75 1981 Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013Holmes, Philip J.; Marsden, Jerrold E. 74 1982 Reduction, symmetry, and phases in mechanics. Zbl 0713.58052Marsden, J. E.; Montgomery, R.; Ratiu, T. 73 1990 The Hopf bifurcation and its applications. (Bifurkatsiya rozhdeniya tsikla i ee prilozheniya). Transl. from the English by L. M. Lerman. Transl. ed. by N. N. Bautin and E. A. Leontovich. Zbl 0545.58002Marsden, J. E.; McCracken, M. 70 1980 Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025Holmes, Philip J.; Marsden, Jerrold E. 69 1982 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 68 2007 Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006Ball, J. M.; Marsden, J. E. 67 1984 Lagrangian reduction by stages. Zbl 1193.37072Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S. 67 2001 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074Marsden, Jerrold E.; Shkoller, Steve 65 2001 Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014Kane, C.; Marsden, J. E.; Ortiz, M. 64 1999 Controlled Lagrangians and the stabilization of mechanical systems. II: Potential shaping. Zbl 1057.93520Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E. 63 2001 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 59 2005 Symmetry and bifurcations of momentum mappings. Zbl 0486.58008Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent 59 1981 The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. 59 1996 Properties of infinite dimensional Hamiltonian systems. Zbl 0301.58016Chernoff, Paul R.; Marsden, Jerrold E. 59 1974 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 57 2004 Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006Holmes, Philip J.; Marsden, Jerrold E. 55 1983 Stabilization of rigid body dynamics by internal and external torques. Zbl 0781.70020Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Sánchez de Alvarez, G. 54 1992 Low energy transfer to the Moon. Zbl 0995.70009Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 52 2001 Hamiltonian structures and stability for rigid bodies with flexible attachments. Zbl 0624.58010Krishnaprasad, P. S.; Marsden, J. E. 51 1987 Dynamical systems, the three-body problem and space mission design. Zbl 0985.70007Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 49 2000 Deformations of the scalar curvature. Zbl 0336.53032Fischer, Arthur E.; Marsden, Jerrold E. 48 1975 Elementary classical analysis. Zbl 0285.26005Marsden, Jerrold E. 48 1974 Multisymplectic geometry, covariant Hamiltonians, and water waves. Zbl 0922.58029Marsden, Jerrold E.; Shkoller, Steve 46 1999 Dimensional model reduction in nonlinear finite element dynamics of solids and structures. Zbl 1013.74071Krysl, P.; Lall, S.; Marsden, J. E. 46 2001 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166Bou-Rabee, Nawaf; Marsden, Jerrold E. 45 2009 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 44 2007 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053Yoshimura, Hiroaki; Marsden, Jerrold E. 44 2006 The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T. 43 1986 Homothetic and conformal symmetries of solutions to Einstein’s equations. Zbl 0604.53038Eardley, D.; Isenberg, J.; Marsden, J.; Moncrief, V. 43 1986 Variational methods, multisymplectic geometry and continuum mechanics. Zbl 1007.74018Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew 43 2001 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 42 2003 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 42 2003 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 41 2006 The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E. 41 2001 On the rotated stress tensor and the material version of the Doyle- Ericksen formula. Zbl 0567.73003Simo, Juan C.; Marsden, Jerrold E. 40 1984 Finite element analysis of nonsmooth contact. Zbl 0963.74061Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E. 40 1999 Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen 40 2000 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 40 2006 The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. Zbl 0929.70009Koon, Wang Sang; Marsden, Jerrold E. 38 1997 Variational integrators for constrained dynamical systems. Zbl 1153.70004Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 38 2008 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 37 2009 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 37 2011 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 36 2003 Lagrangian reduction and the double spherical pendulum. Zbl 0778.70016Marsden, Jerrold E.; Scheurle, Jürgen 36 1993 Discrete Euler-Poincaré and Lie-Poisson equations. Zbl 0978.37045Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve 35 1999 Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry. Zbl 0954.35144Rowley, Clarence W.; Marsden, Jerrold E. 35 2000 Applications of global analysis in mathematical physics. Zbl 0367.58001Marsden, Jerry 35 1974 Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028Holmes, Philip; Marsden, Jerrold 34 1978 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 33 2003 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 33 2011 Dissipation induced instabilities. Zbl 0834.58025Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S. 32 1994 Elementary classical analysis. 2. ed. Zbl 0777.26001Marsden, Jerrold E.; Hoffman, Michael J. 32 1993 Poisson reduction for nonholonomic mechanical systems with symmetry. Zbl 1120.37314Koon, Wang Sang; Marsden, Jerrold E. 31 1998 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 31 2003 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 31 2005 Applications of the blowing-up construction and algebraic geometry to bifurcation problems. Zbl 0464.34030Buchner, Michael; Marsden, Jerrold; Schecter, Stephen 31 1983 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 31 2006 Linearization stability of the Einstein equations. Zbl 0274.58003Fischer, Arthur E.; Marsden, Jerrold E. 31 1973 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray. 2nd edition. Zbl 1381.70004Bloch, A. M. 25 2015 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 16 2015 Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. Zbl 1393.70034Marsden, Jerrold E.; Wang, Hong; Zhang, Zhenxing 2 2014 Variational integrators for electric circuits. Zbl 1298.78024Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E. 4 2013 Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S. 14 2012 Integration of the EPDiff equation by particle methods. Zbl 1272.65079Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 10 2012 A fiber bundle approach to the transpositional relations in nonholonomic mechanics. Zbl 1251.70016Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 7 2012 Covariantization of nonlinear elasticity. Zbl 1325.74029Yavari, Arash; Marsden, Jerrold E. 6 2012 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 37 2011 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 33 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 29 2011 Discrete Lie advection of differential forms. Zbl 1222.35010Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 9 2011 From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Zbl 1243.65149Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 4 2011 Lyapunov constraints and global asymptotic stabilization. Zbl 1227.93101Grillo, Sergio; Marsden, Jerrold E.; Nair, Sujit 3 2011 Replica time integrators. Zbl 1242.74195Venturini, G.; Yang, J. Z.; Ortiz, M.; Marsden, J. E. 2 2011 Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Zbl 1221.65229Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 1 2011 Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M. 29 2010 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 28 2010 Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S. 20 2010 The dynamics of a rigid body in potential flow with circulation. Zbl 1258.76051Vankerschaver, J.; Kanso, E.; Marsden, J. E. 9 2010 Vladimir I. Arnold – Collected works. Vol. I. Representations of functions, celestial mechanics, and KAM theory 1957-1965. Edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vissilev, Oleg Ya. Viro and Vladimir M. Zakalyukin. Zbl 1187.01033Arnold, Vladimir I. 2 2010 Horseshoes in hurricanes. Zbl 1205.37032Du Toit, Philip C.; Marsden, Jerrold E. 2 2010 Controlled Lagrangians and stabilization of discrete mechanical systems. Zbl 1278.70021Bloch, Anthony M.; Leok, Melvin; Marsden, Jerrold E.; Zenkov, Dmitry V. 1 2010 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166Bou-Rabee, Nawaf; Marsden, Jerrold E. 45 2009 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 37 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 15 2009 Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano 14 2009 Covariant balance laws in continua with microstructure. Zbl 1169.74009Yavari, Arash; Marsden, Jerrold E. 9 2009 Dirac cotangent bundle reduction. Zbl 1168.70314Yoshimura, Hiroaki; Marsden, Jerrold E. 8 2009 Energy balance invariance for interacting particle systems. Zbl 1171.70007Yavari, Arash; Marsden, Jerrold E. 7 2009 Coupled oscillator models with no scale separation. Zbl 1157.37343Du Toit, Philip; Mezić, Igor; Marsden, Jerrold 7 2009 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 Dissipation-induced instability phenomena in infinite-dimensional systems. Zbl 1273.76109Krechetnikov, Rouslan; Marsden, Jerrold E. 4 2009 The Jacobi-Maupertuis principle in variational integrators. Zbl 1182.65190Nair, Sujit; Ober-Blöbaum, Sina; Marsden, Jerrold E. 2 2009 Variational integrators for constrained dynamical systems. Zbl 1153.70004Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 38 2008 Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape. Zbl 1161.76447Shashikanth, Banavara N.; Sheshmani, Artan; Kelly, Scott David; Marsden, Jerrold E. 12 2008 Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507Zielonka, M. G.; Ortiz, M.; Marsden, J. E. 10 2008 A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S. 7 2008 Dissipation-induced heteroclinic orbits in tippe tops. Zbl 1138.70012Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 4 2008 Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E. 4 2008 Covariant and dynamical reduction for principal bundle field theories. Zbl 1162.83347Castrillón López, Marco; Marsden, Jerrold E. 3 2008 Parametrization and stress-energy-momentum tensors in metric field theories. Zbl 1325.70054Castrillón López, Marco; Gotay, Mark J.; Marsden, Jerrold E. 2 2008 Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K. 2 2008 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 68 2007 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 44 2007 Dissipation-induced instabilities in finite dimensions. Zbl 1205.70002Krechetnikov, R.; Marsden, J. E. 29 2007 On the geometric character of stress in continuum mechanics. Zbl 1126.74003Kanso, Eva; Arroyo, Marino; Tong, Yiying; Yavari, Arash; Marsden, Jerrold E.; Desbrun, Mathieu 17 2007 Reduction of Dirac structures and the Hamilton-Pontryagin principle. Zbl 1141.53081Yoshimura, Hiroaki; Marsden, Jerrold E. 12 2007 Transport and stirring induced by vortex formation. Zbl 1151.76350Shadden, S. C.; Katija, K.; Rosenfeld, M.; Marsden, J. E.; Dabiri, J. O. 12 2007 Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems. Zbl 1130.37028Yoshimura, Hiroaki; Marsden, Jerrold E. 6 2007 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053Yoshimura, Hiroaki; Marsden, Jerrold E. 44 2006 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 41 2006 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 40 2006 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 31 2006 New methods in celestial mechanics and mission design. Zbl 1098.70013Marsden, Jerrold E.; Ross, Shane D. 15 2006 On destabilizing effects of two fundamental non-conservative forces. Zbl 1159.70357Krechetnikov, R.; Marsden, J. E. 11 2006 Discrete Routh reduction. Zbl 1090.37042Jalnapurkar, Sameer M.; Leok, Melvin; Marsden, Jerrold E.; West, Matthew 9 2006 Binary asteroid observation orbits from a global dynamical perspective. Zbl 1210.37064Gabern, F.; Koon, W. S.; Marsden, J. E.; Scheeres, D. J. 2 2006 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 177 2005 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 59 2005 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 31 2005 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 26 2005 Tricubic interpolation in three dimensions. Zbl 1140.76423Lekien, F.; Marsden, J. 24 2005 Pollution release tied to invariant manifolds: a case study for the coast of Florida. Zbl 1149.86302Lekien, Francois; Coulliette, Chad; Mariano, Arthur J.; Ryan, Edward H.; Shay, Lynn K.; Haller, George; Marsden, Jerry 21 2005 Nonholonomic dynamics. Zbl 1142.70006Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 17 2005 Lagrangian averaging for compressible fluids. Zbl 1108.76070Bhat, H. S.; Fetecau, R. C.; Marsden, J. E.; Mohseni, K.; West, M. 7 2005 Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom. Zbl 1099.37066Gabern, Frederic; Koon, Wang S.; Marsden, Jerrold E.; Ross, Shane D. 7 2005 A geometric treatment of Jellett’s egg. Zbl 1149.70305Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 6 2005 Relative equilibria for the generalized rigid body. Zbl 1088.37024Hernández-Garduño, Antonio; Lawson, Jeffrey K.; Marsden, Jerrold E. 6 2005 Geometric mechanics and the dynamics of asteroid pairs. Zbl 1161.70334Cendra, H.; Marsden, J. E. 6 2005 The Lie-Poisson structure of the Euler equations of an ideal fluid. Zbl 1184.35257Vasylkevych, Sergiy; Marsden, Jerrold E. 3 2005 Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields. Zbl 1077.37522Dellnitz, M.; Grubits, K. A.; Marsden, J. E.; Padberg, K.; Thiere, B. 3 2005 Spacecraft dynamics near a binary asteroid. Zbl 1144.37457Gabern, F.; Koon, W. S.; Marsden, J. E. 2 2005 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 77 2004 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 57 2004 Tippe top inversion as a dissipation-induced instability. Zbl 1147.70303Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 17 2004 Controlled Lagrangian systems with gyroscopic forcing and dissipation. Zbl 1293.93645Woolsey, Craig; Reddy, Chevva Konda; Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E. 12 2004 Reduction of controlled Lagrangian and Hamiltonian systems with symmetry. Zbl 1076.70020Chang, Dong Eui; Marsden, Jerrold E. 4 2004 Time-frequency analysis of the restricted three-body problem: transport and resonance transitions. Zbl 1045.83020Vela-Arevalo, Luz V.; Marsden, Jerrold E. 3 2004 Cocycles, compatibility, and Poisson brackets for complex fluids. Zbl 1082.76011Cendra, Hernán; Marsden, Jerrold; Ratiu, Tudor S. 3 2004 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001Bloch, A. M. 185 2003 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 75 2003 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 42 2003 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 42 2003 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 36 2003 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 33 2003 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 31 2003 Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004Tret’yakov, Alexey; Marsden, Jerrold E. 25 2003 Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S. 23 2003 Some remarks on Lagrangian and Poisson reduction for field theories. Zbl 1037.70016Castrillón López, Marco; Marsden, Jerrold E. 20 2003 Variational multisymplectic formulations of nonsmooth continuum mechanics. Zbl 1256.37039Fetecau, R. C.; Marsden, J. E.; West, M. 8 2003 Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction. Zbl 1032.76537Shashikanth, Banavara N.; Marsden, Jerrold E. 7 2003 Geometric derivation of the Delaunay variables and geometric phases. Zbl 1062.70010Chang, Dong Eui; Marsden, Jerrold E. 5 2003 Gyroscopic forces and collision avoidance with convex obstacles. Zbl 1203.93135Chang, Dong Eui; Marsden, Jerrold E. 2 2003 Perspectives and problems in nonlinear science. A celebratory volume in honor of Lawrence Sirovich. Zbl 1009.00024 1 2003 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 77 2002 The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A. 30 2002 Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M. 23 2002 Constructing a low energy transfer between Jovian moons. Zbl 1022.70013Koon, Wang Sang; Marsden, Jerrold E.; Ross, Shane D. 21 2002 Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388Serban, Radu; Koon, Wang S.; Lo, Martin W.; Marsden, Jerrold E.; Petzold, Linda R. 8 2002 ...and 250 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,777 Authors 141 Marsden, Jerrold Eldon 92 Holm, Darryl D. 75 Ratiu, Tudor Stefan 58 Gay-Balmaz, François 52 Martín de Diego, David 40 Bloch, Anthony Michael 33 de León Rodríguez, Manuel 32 Llibre, Jaume 31 Leok, Melvin 29 Ortiz, Michael 29 Simo, Juan Carlos 28 Yavari, Arash 27 de la Llave, Rafael 27 Guha, Partha 27 Holmes, Philip J. 27 Wang, Yushun 25 Tret’yakov, Alexey A. 23 Marrero, Juan Carlos 22 Śniatycki, Jędrzej 21 Haller, George 20 Marmo, Giuseppe 19 Fischer, Arthur Elliot 19 García-Naranjo, Luis C. 19 Leyendecker, Sigrid 19 McLachlan, Robert I. 18 Bauer, Martin 18 Cendra, Hernán 18 Modin, Klas 18 Tronci, Cesare 18 van der Schaft, Arjan J. 18 Weinstein, Alan David 17 Ciarlet, Philippe Gaston 17 Froyland, Gary 17 Grmela, Miroslav 17 Miehe, Christian 17 Misiołek, Gerard 17 Palacián, Jesús F. 17 Preston, Stephen C. 17 Putkaradze, Vakhtang 17 Qin, Mengzhao 17 Román-Roy, Narciso 17 Yoshimura, Hiroaki 16 Bruveris, Martins 16 Esen, Oğul 16 Muñoz-Lecanda, Miguel C. 16 Ober-Blöbaum, Sina 16 Ortega, Juan-Pablo 16 Steinmann, Paul 15 Balasuriya, Sanjeeva 15 Borisov, Alekseĭ Vladimirovich 15 Colombo, Leonardo Jesus 15 Hong, Jialin 15 Kolev, Boris 15 Mariano, Paolo Maria 15 Mestdag, Tom 15 Ortega, Romeo S. 14 Escher, Joachim 14 Ibrahimbegović, Adnan 14 Krishnaprasad, P.s. 14 Moncrief, Vincent E. 14 Neff, Patrizio 14 Ross, Shane D. 14 Sun, Yajuan 14 Titi, Edriss Saleh 14 Wiggins, Stephen 14 Zenkov, Dmitry V. 13 Birtea, Petre 13 Celledoni, Elena 13 Ebin, David G. 13 Ibort, Alberto 13 Jiménez, Fernando 13 Kanso, Eva Adnan 13 Khesin, Boris A. 13 Lenells, Jonatan 13 Mamaev, Ivan Sergeevich 13 Mardare, Cristinel 13 Montaldi, James A. 13 Patrick, George W. 13 Prykarpatsky, Anatoliy Karolevych 13 Ruggeri, Tommaso 13 Stoica, Cristina 13 Tudoran, Răzvan Micu 13 Vankerschaver, Joris 13 Wan, Yieh-Hei 13 Yanguas, Patricia 12 Brunton, Steven L. 12 Cai, Jiaxiang 12 Camassa, Roberto 12 Constantin, Adrian 12 Cruzeiro, Ana-Bela 12 Desbrun, Mathieu 12 Federico, Salvatore 12 Ferrer, Sebastián 12 Gotay, Mark J. 12 Iwai, Toshihiro 12 Koiller, Jair 12 Leonard, Naomi Ehrich 12 Liu, Yue 12 Olver, Peter John 12 Sigalotti, Mario ...and 8,677 more Authors all top 5 Cited in 657 Serials 331 Journal of Mathematical Physics 250 Physica D 239 Computer Methods in Applied Mechanics and Engineering 210 Journal of Geometry and Physics 201 Communications in Mathematical Physics 199 Journal of Computational Physics 184 Journal of Differential Equations 157 Archive for Rational Mechanics and Analysis 148 Journal of Nonlinear Science 119 Journal of Mathematical Analysis and Applications 115 Celestial Mechanics and Dynamical Astronomy 111 Journal of Fluid Mechanics 108 International Journal for Numerical Methods in Engineering 82 Nonlinear Dynamics 81 Regular and Chaotic Dynamics 76 International Journal of Geometric Methods in Modern Physics 76 Journal of Geometric Mechanics 75 Reports on Mathematical Physics 73 Chaos 72 Transactions of the American Mathematical Society 71 Journal of Elasticity 67 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 65 Applied Mathematics and Computation 64 Automatica 63 Acta Mechanica 60 Systems & Control Letters 58 Letters in Mathematical Physics 57 Communications in Nonlinear Science and Numerical Simulation 56 General Relativity and Gravitation 56 ZAMP. 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