Edit Profile (opens in new tab) Marsden, Jerrold Eldon (b. 1942 d. 2010) Co-Author Distance 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: 385 Publications since 1965, including 38 Books and 12 Additional arXiv Preprints 21 Contributions as Editor · 7 Further Contributions Biographic References: 6 Publications Co-Authors: 205 Co-Authors with 365 Joint Publications 5,341 Co-Co-Authors all top 5 Co-Authors 42 single-authored 46 Ratiu, Tudor Stefan 26 Bloch, Anthony Michael 21 Fischer, Arthur Elliot 18 Weinstein, Alan David 15 Holm, Darryl Dallas 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 Desbrun, Mathieu 9 Ross, Shane D. 9 Zenkov, Dmitry V. 8 Pekarsky, Sergey 7 Chang, Dong Eui 7 Hughes, Thomas J. R. 7 Leok, Melvin 7 Lo, Martin W. 7 Yoshimura, Hiroaki 6 Choquet, Gustave 6 Ebin, David G. 6 Gelbart, Stephen S. 6 Gotay, Mark J. 6 Kanso, Eva Adnan 6 Lance, T. 6 Leonard, Naomi Ehrich 6 Lewis, Debra 6 Moncrief, Vincent E. 6 Owhadi, Houman 6 Tao, Molei 5 Abraham, Ralph Herman 5 Camassa, Roberto 5 Chernoff, Paul R. 5 Dellnitz, Michael 5 Golubitsky, Martin A. 5 Krechetnikov, Rouslan 5 Kruse, Hans-Peter 5 Lekien, Francois 5 Montgomery, Richard 5 Tong, Yiying 5 Tromba, Anthony Joseph 5 Yavari, Arash 4 Arms, Judith Meryl 4 Bou-Rabee, Nawaf M. 4 Castrillón López, Marco 4 Chorin, Alexandre Joel 4 Crouch, Peter E. 4 Du Toit, Philip C. 4 Ge, Zhong 4 Isenberg, James A. 4 Jalnapurkar, Sameer M. 4 Luther, Gregory G. 4 Murray, Richard M. 4 Ober-Blöbaum, Sina 4 Posbergh, Thomas A. 4 Shadden, Shawn C. 4 Vankerschaver, Joris 4 Wan, Yieh-Hei 3 Ball, John MacLeod 3 Choquet-Bruhat, Yvonne 3 Fetecau, Razvan C. 3 Gabern, Frederic 3 Lall, Sanjay 3 McCracken, Marjorie F. 3 Mullen, Patrick 3 Pavlov, Dmitry V. 3 Perlmutter, Matthew 3 Raugel, Geneviève 3 Romero, Louis A. 3 Rowley, Clarence Worth 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 Hernández-Garduño, Antonio 2 Hirani, Anil N. 2 Hoffman, Michael J. 2 Iserles, Arieh 2 Junge, Oliver 2 Khesin, Boris A. 2 Knops, Robin J. 2 Kobilarov, Marin 2 Krysl, Petr 2 Lew, Adrian J. 2 Leyendecker, Sigrid 2 Mahalov, Alex 2 Melbourne, Ian 2 Misiołek, Gerard 2 Mohseni, Kamran 2 Morrison, Philip J. ...and 155 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 6 Mathematics Lecture Note Series 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 ...and 13 more Serials all top 5 Fields 174 Dynamical systems and ergodic theory (37-XX) 164 Mechanics of particles and systems (70-XX) 76 Fluid mechanics (76-XX) 71 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) 28 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 Optics, electromagnetic theory (78-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) 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 355 Publications have been cited 14,710 times in 9,183 Documents Cited by ▼ Year ▼ Mathematical foundations of elasticity. Zbl 0545.73031 Marsden, Jerrold E.; Hughes, Thomas J. R. 755 1983 Foundations of mechanics. 2nd ed., rev., enl., and reset. With the assistance of Tudor Ratiu and Richard Cushman. Zbl 0393.70001 Abraham, Ralph; Marsden, Jerrold E. 692 1978 Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401 Ebin, D. G.; Marsden, J. 615 1970 Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002 Abraham, R.; Marsden, J. E.; Ratiu, T. 554 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 0346.58007 Marsden, J. E.; McCracken, M. 544 1976 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005 Marsden, Jerrold; Weinstein, Alan 502 1974 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003 Marsden, Jerrold E.; Ratiu, Tudor S. 484 1999 Discrete mechanics and variational integrators. Zbl 1123.37327 Marsden, Jerrold E.; West, M. 451 2001 The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020 Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S. 353 1998 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051 Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 248 1985 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 1045.70001 Bloch, A. M. 222 2003 Lectures on analysis. Vol. II: Representation theory. Edited by J. Marsden, T. Lance and S. Gelbart. Zbl 0181.39602 Choquet, Gustave 214 1969 Multisymplectic geometry, variational integrators, and nonlinear PDEs. Zbl 0951.70002 Marsden, Jerrold E.; Patrick, George W.; Shkoller, Steve 209 1998 General relativity. An Einstein centenary survey. Zbl 0424.53001 208 1979 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487 Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 204 2005 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014 Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 192 1996 Lectures on mechanics. Zbl 0744.70004 Marsden, Jerrold E. 178 1992 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002 Marsden, Jerrold E.; Ratiu, Tudor S. 173 1994 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046 Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 163 1977 Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Zbl 1369.70038 Ge, Zhong; Marsden, Jerrold E. 154 1988 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008 Marsden, Jerrold; Weinstein, Alan 134 1983 A mathematical introduction to fluid mechanics. Zbl 0417.76002 Chorin, A. J.; Marsden, J. E. 128 1979 Controllability for distributed bilinear systems. Zbl 0485.93015 Ball, J. M.; Marsden, J. E.; Slemrod, M. 123 1982 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008 Chorin, A. J.; Marsden, J. E. 118 1990 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001 Chorin, Alexandre J.; Marsden, Jerrold E. 117 1993 Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004 Kane, C.; Marsden, J. E.; Ortiz, M.; West, M. 115 2000 Reduction of Poisson manifolds. Zbl 0602.58016 Marsden, Jerrold E.; Ratiu, Tudor 109 1986 Manifolds, tensor analysis, and applications. Zbl 0508.58001 Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor 107 1983 The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124 Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E. 105 1994 Semidirect products and reduction in mechanics. Zbl 0529.58011 Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 103 1984 Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010 Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 99 2000 Product formulas and numerical algorithms. Zbl 0358.65082 Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 98 1978 Hamiltonian reduction by stages. Zbl 1129.37001 Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 97 2007 Variational time integrators. Zbl 1060.70500 Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 97 2004 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463 Marsden, Jerrold E.; Weinstein, Alan 97 1982 Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604 Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. 96 2000 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507 Wendlandt, Jeffrey M.; Marsden, Jerrold E. 93 1997 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010 Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 90 2002 Lagrangian reduction by stages. Zbl 1193.37072 Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S. 86 2001 The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082 Fischer, Arthur E.; Marsden, Jerrold E. 86 1972 Reduction, symmetry, and phases in mechanics. Zbl 0713.58052 Marsden, J. E.; Montgomery, R.; Ratiu, T. 86 1990 Asynchronous variational integrators. Zbl 1055.74041 Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 86 2003 The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates. Zbl 0668.73014 Simo, Juan C.; Marsden, Jerrold E.; Krishnaprasad, P. S. 83 1988 Stability of relative equilibria. I: The reduced energy-momentum method. Zbl 0738.70010 Simo, J. C.; Lewis, Debra; Marsden, J. E. 82 1991 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074 Marsden, Jerrold E.; Shkoller, Steve 79 2001 A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031 Holmes, Philip; Marsden, Jerrold 78 1981 Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013 Holmes, Philip J.; Marsden, Jerrold E. 76 1982 Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014 Kane, C.; Marsden, J. E.; Ortiz, M. 74 1999 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 0545.58002 Marsden, J. E.; McCracken, M. 72 1980 Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025 Holmes, Philip J.; Marsden, Jerrold E. 70 1982 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007 Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 70 2004 Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006 Ball, J. M.; Marsden, J. E. 68 1984 Controlled Lagrangians and the stabilization of mechanical systems. II: Potential shaping. Zbl 1057.93520 Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E. 68 2001 Symmetry and bifurcations of momentum mappings. Zbl 0486.58008 Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent 66 1981 Dynamical systems, the three-body problem and space mission design. Zbl 0985.70007 Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 65 2000 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032 Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 65 2005 The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048 Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. 64 1996 Properties of infinite dimensional Hamiltonian systems. Zbl 0301.58016 Chernoff, Paul R.; Marsden, Jerrold E. 64 1974 Deformations of the scalar curvature. Zbl 0336.53032 Fischer, Arthur E.; Marsden, Jerrold E. 63 1975 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166 Bou-Rabee, Nawaf; Marsden, Jerrold E. 63 2009 Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006 Holmes, Philip J.; Marsden, Jerrold E. 60 1983 Low energy transfer to the Moon. Zbl 0995.70009 Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 58 2001 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053 Yoshimura, Hiroaki; Marsden, Jerrold E. 57 2006 Hamiltonian structures and stability for rigid bodies with flexible attachments. Zbl 0624.58010 Krishnaprasad, P. S.; Marsden, J. E. 57 1987 Stabilization of rigid body dynamics by internal and external torques. Zbl 0781.70020 Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Sánchez de Alvarez, G. 56 1992 Elementary classical analysis. Zbl 0285.26005 Marsden, Jerrold E. 55 1974 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374 Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 54 2007 Dimensional model reduction in nonlinear finite element dynamics of solids and structures. Zbl 1013.74071 Krysl, P.; Lall, S.; Marsden, J. E. 52 2001 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057 Yoshimura, Hiroaki; Marsden, Jerrold E. 52 2006 Variational integrators for constrained dynamical systems. Zbl 1153.70004 Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 50 2008 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014 Marsden, Jerrold E.; Shkoller, Steve 50 2003 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 1381.70004 Bloch, A. M. 50 2015 The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044 Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T. 49 1986 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120 Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 49 2011 Variational methods, multisymplectic geometry and continuum mechanics. Zbl 1007.74018 Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew 49 2001 Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry. Zbl 0954.35144 Rowley, Clarence W.; Marsden, Jerrold E. 48 2000 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263 Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 48 2003 Multisymplectic geometry, covariant Hamiltonians, and water waves. Zbl 0922.58029 Marsden, Jerrold E.; Shkoller, Steve 47 1999 Homothetic and conformal symmetries of solutions to Einstein’s equations. Zbl 0604.53038 Eardley, D.; Isenberg, J.; Marsden, J.; Moncrief, V. 47 1986 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004 Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 46 2006 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011 Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 46 2003 Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043 Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen 45 2000 Finite element analysis of nonsmooth contact. Zbl 0963.74061 Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E. 45 1999 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045 Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 45 2003 Discrete Poincaré lemma. Zbl 1080.39021 Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 45 2005 The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. Zbl 0929.70009 Koon, Wang Sang; Marsden, Jerrold E. 44 1997 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034 Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 44 2009 The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062 Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E. 43 2001 Discrete Euler-Poincaré and Lie-Poisson equations. Zbl 0978.37045 Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve 42 1999 Lagrangian reduction and the double spherical pendulum. Zbl 0778.70016 Marsden, Jerrold E.; Scheurle, Jürgen 42 1993 Manifolds of Riemannian metrics with prescribed scalar curvature. Zbl 0288.53040 Fischer, Arthur E.; Marsden, Jerrold E. 41 1974 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047 Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 40 2011 On the rotated stress tensor and the material version of the Doyle- Ericksen formula. Zbl 0567.73003 Simo, Juan C.; Marsden, Jerrold E. 40 1984 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036 Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 40 2003 The reduced Euler-Lagrange equations. Zbl 0789.70013 Marsden, Jerrold E.; Scheurle, Jürgen 40 1993 Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039 Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M. 39 2010 Applications of global analysis in mathematical physics. Zbl 0367.58001 Marsden, Jerry 39 1974 Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028 Holmes, Philip; Marsden, Jerrold 39 1978 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700 Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 38 2006 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187 Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 38 2010 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 1381.70004 Bloch, A. M. 50 2015 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014 Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 20 2015 Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. Zbl 1393.70034 Marsden, Jerrold E.; Wang, Hong; Zhang, Zhenxing 4 2014 Variational integrators for electric circuits. Zbl 1298.78024 Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E. 7 2013 Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031 Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S. 21 2012 Integration of the EPDiff equation by particle methods. Zbl 1272.65079 Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 10 2012 A fiber bundle approach to the transpositional relations in nonholonomic mechanics. Zbl 1251.70016 Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 7 2012 Covariantization of nonlinear elasticity. Zbl 1325.74029 Yavari, Arash; Marsden, Jerrold E. 7 2012 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120 Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 49 2011 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047 Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 40 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148 Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 35 2011 Discrete Lie advection of differential forms. Zbl 1222.35010 Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 11 2011 From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Zbl 1243.65149 Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 5 2011 Lyapunov constraints and global asymptotic stabilization. Zbl 1227.93101 Grillo, Sergio; Marsden, Jerrold E.; Nair, Sujit 3 2011 Replica time integrators. Zbl 1242.74195 Venturini, G.; Yang, J. Z.; Ortiz, M.; Marsden, J. E. 3 2011 Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Zbl 1221.65229 Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 1 2011 Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039 Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M. 39 2010 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187 Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 38 2010 Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071 Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S. 25 2010 The dynamics of a rigid body in potential flow with circulation. Zbl 1258.76051 Vankerschaver, J.; Kanso, E.; Marsden, J. E. 11 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 1187.01033 Arnold, Vladimir I. 3 2010 Horseshoes in hurricanes. Zbl 1205.37032 Du Toit, Philip C.; Marsden, Jerrold E. 2 2010 Controlled Lagrangians and stabilization of discrete mechanical systems. Zbl 1278.70021 Bloch, 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 1221.37166 Bou-Rabee, Nawaf; Marsden, Jerrold E. 63 2009 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034 Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 44 2009 Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004 Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano 20 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055 Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 16 2009 Dirac cotangent bundle reduction. Zbl 1168.70314 Yoshimura, Hiroaki; Marsden, Jerrold E. 13 2009 Covariant balance laws in continua with microstructure. Zbl 1169.74009 Yavari, Arash; Marsden, Jerrold E. 10 2009 Coupled oscillator models with no scale separation. Zbl 1157.37343 Du Toit, Philip; Mezić, Igor; Marsden, Jerrold 9 2009 Energy balance invariance for interacting particle systems. Zbl 1171.70007 Yavari, Arash; Marsden, Jerrold E. 7 2009 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030 Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 Dissipation-induced instability phenomena in infinite-dimensional systems. Zbl 1273.76109 Krechetnikov, Rouslan; Marsden, Jerrold E. 5 2009 The Jacobi-Maupertuis principle in variational integrators. Zbl 1182.65190 Nair, Sujit; Ober-Blöbaum, Sina; Marsden, Jerrold E. 3 2009 Variational integrators for constrained dynamical systems. Zbl 1153.70004 Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 50 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 1161.76447 Shashikanth, Banavara N.; Sheshmani, Artan; Kelly, Scott David; Marsden, Jerrold E. 12 2008 Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507 Zielonka, M. G.; Ortiz, M.; Marsden, J. E. 11 2008 A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012 Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S. 10 2008 Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013 Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E. 6 2008 Covariant and dynamical reduction for principal bundle field theories. Zbl 1162.83347 Castrillón López, Marco; Marsden, Jerrold E. 6 2008 Dissipation-induced heteroclinic orbits in tippe tops. Zbl 1138.70012 Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 4 2008 Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018 Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K. 3 2008 Parametrization and stress-energy-momentum tensors in metric field theories. Zbl 1325.70054 Castrillón López, Marco; Gotay, Mark J.; Marsden, Jerrold E. 2 2008 Hamiltonian reduction by stages. Zbl 1129.37001 Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 97 2007 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374 Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 54 2007 Dissipation-induced instabilities in finite dimensions. Zbl 1205.70002 Krechetnikov, R.; Marsden, J. E. 36 2007 On the geometric character of stress in continuum mechanics. Zbl 1126.74003 Kanso, Eva; Arroyo, Marino; Tong, Yiying; Yavari, Arash; Marsden, Jerrold E.; Desbrun, Mathieu 24 2007 Reduction of Dirac structures and the Hamilton-Pontryagin principle. Zbl 1141.53081 Yoshimura, Hiroaki; Marsden, Jerrold E. 13 2007 Transport and stirring induced by vortex formation. Zbl 1151.76350 Shadden, 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 1130.37028 Yoshimura, Hiroaki; Marsden, Jerrold E. 6 2007 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053 Yoshimura, Hiroaki; Marsden, Jerrold E. 57 2006 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057 Yoshimura, Hiroaki; Marsden, Jerrold E. 52 2006 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004 Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 46 2006 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700 Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 38 2006 New methods in celestial mechanics and mission design. Zbl 1098.70013 Marsden, Jerrold E.; Ross, Shane D. 15 2006 Discrete Routh reduction. Zbl 1090.37042 Jalnapurkar, Sameer M.; Leok, Melvin; Marsden, Jerrold E.; West, Matthew 12 2006 On destabilizing effects of two fundamental non-conservative forces. Zbl 1159.70357 Krechetnikov, R.; Marsden, J. E. 11 2006 Binary asteroid observation orbits from a global dynamical perspective. Zbl 1210.37064 Gabern, 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 1161.76487 Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 204 2005 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032 Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 65 2005 Discrete Poincaré lemma. Zbl 1080.39021 Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 45 2005 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012 Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 32 2005 Tricubic interpolation in three dimensions. Zbl 1140.76423 Lekien, F.; Marsden, J. 29 2005 Pollution release tied to invariant manifolds: a case study for the coast of Florida. Zbl 1149.86302 Lekien, Francois; Coulliette, Chad; Mariano, Arthur J.; Ryan, Edward H.; Shay, Lynn K.; Haller, George; Marsden, Jerry 24 2005 Nonholonomic dynamics. Zbl 1142.70006 Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 18 2005 Lagrangian averaging for compressible fluids. Zbl 1108.76070 Bhat, 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 1099.37066 Gabern, Frederic; Koon, Wang S.; Marsden, Jerrold E.; Ross, Shane D. 7 2005 Geometric mechanics and the dynamics of asteroid pairs. Zbl 1161.70334 Cendra, H.; Marsden, J. E. 7 2005 A geometric treatment of Jellett’s egg. Zbl 1149.70305 Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 6 2005 Relative equilibria for the generalized rigid body. Zbl 1088.37024 Hernández-Garduño, Antonio; Lawson, Jeffrey K.; Marsden, Jerrold E. 6 2005 The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein. Zbl 1062.53002 4 2005 Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields. Zbl 1077.37522 Dellnitz, M.; Grubits, K. A.; Marsden, J. E.; Padberg, K.; Thiere, B. 3 2005 The Lie-Poisson structure of the Euler equations of an ideal fluid. Zbl 1184.35257 Vasylkevych, Sergiy; Marsden, Jerrold E. 3 2005 Spacecraft dynamics near a binary asteroid. Zbl 1144.37457 Gabern, F.; Koon, W. S.; Marsden, J. E. 3 2005 Variational time integrators. Zbl 1060.70500 Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 97 2004 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007 Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 70 2004 Tippe top inversion as a dissipation-induced instability. Zbl 1147.70303 Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 19 2004 Controlled Lagrangian systems with gyroscopic forcing and dissipation. Zbl 1293.93645 Woolsey, 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 1076.70020 Chang, Dong Eui; Marsden, Jerrold E. 6 2004 Time-frequency analysis of the restricted three-body problem: transport and resonance transitions. Zbl 1045.83020 Vela-Arevalo, Luz V.; Marsden, Jerrold E. 3 2004 Cocycles, compatibility, and Poisson brackets for complex fluids. Zbl 1082.76011 Cendra, 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 1045.70001 Bloch, A. M. 222 2003 Asynchronous variational integrators. Zbl 1055.74041 Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 86 2003 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014 Marsden, Jerrold E.; Shkoller, Steve 50 2003 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263 Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 48 2003 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011 Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 46 2003 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045 Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 45 2003 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036 Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 40 2003 Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004 Tret’yakov, Alexey; Marsden, Jerrold E. 35 2003 Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314 Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S. 32 2003 Some remarks on Lagrangian and Poisson reduction for field theories. Zbl 1037.70016 Castrillón López, Marco; Marsden, Jerrold E. 21 2003 Variational multisymplectic formulations of nonsmooth continuum mechanics. Zbl 1256.37039 Fetecau, R. C.; Marsden, J. E.; West, M. 10 2003 Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction. Zbl 1032.76537 Shashikanth, Banavara N.; Marsden, Jerrold E. 8 2003 Geometric derivation of the Delaunay variables and geometric phases. Zbl 1062.70010 Chang, Dong Eui; Marsden, Jerrold E. 5 2003 Gyroscopic forces and collision avoidance with convex obstacles. Zbl 1203.93135 Chang, Dong Eui; Marsden, Jerrold E. 4 2003 Perspectives and problems in nonlinear science. A celebratory volume in honor of Lawrence Sirovich. Zbl 1009.00024 3 2003 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010 Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 90 2002 The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013 Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A. 35 2002 Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043 Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M. 26 2002 Constructing a low energy transfer between Jovian moons. Zbl 1022.70013 Koon, Wang Sang; Marsden, Jerrold E.; Ross, Shane D. 23 2002 ...and 255 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,268 Authors 143 Marsden, Jerrold Eldon 104 Holm, Darryl Dallas 81 Ratiu, Tudor Stefan 70 Gay-Balmaz, François 56 Martín de Diego, David 45 Bloch, Anthony Michael 45 de León Rodríguez, Manuel 35 Leok, Melvin 33 Llibre, Jaume 33 Tret’yakov, Alexey A. 33 Yavari, Arash 31 Ortiz, Michael 30 Simo, Juan Carlos 30 Wang, Yushun 28 de la Llave, Rafael 28 Guha, Partha 28 Marrero, Juan Carlos 27 Esen, Oğul 27 Holmes, Philip J. 24 Colombo, Leonardo Jesus 24 Leyendecker, Sigrid 23 McLachlan, Robert I. 23 Śniatycki, Jędrzej 23 Tronci, Cesare 22 Haller, George 22 Ober-Blöbaum, Sina 21 Grmela, Miroslav 21 Marmo, Giuseppe 21 Modin, Klas 20 Bauer, Martin 20 García-Naranjo, Luis C. 20 Román-Roy, Narciso 20 van der Schaft, Arjan J. 20 Yoshimura, Hiroaki 19 Fischer, Arthur Elliot 19 Preston, Stephen C. 18 Cendra, Hernán 18 Froyland, Gary 18 Kolev, Boris 18 Misiołek, Gerard 18 Muñoz-Lecanda, Miguel C. 18 Ohsawa, Tomoki 18 Ortega, Juan-Pablo 18 Weinstein, Alan David 17 Ciarlet, Philippe Gaston 17 Kashchenko, Sergeĭ Aleksandrovich 17 Khesin, Boris A. 17 Mariano, Paolo Maria 17 Mestdag, Tom 17 Miehe, Christian 17 Palacián, Jesús F. 17 Prykarpatsky, Anatoliy Karolevych 17 Putkaradze, Vakhtang 17 Qin, Mengzhao 17 Steinmann, Paul 16 Balasuriya, Sanjeeva 16 Bruveris, Martins 16 Federico, Salvatore 16 Hong, Jialin 16 Ortega, Romeo S. 16 Sun, Yajuan 16 Tudoran, Răzvan Micu 15 Birtea, Petre 15 Borisov, Alekseĭ Vladimirovich 15 Cruzeiro, Ana-Bela 15 Escher, Joachim 15 Grillo, Alfio 15 Ibrahimbegović, Adnan 15 Krishnaprasad, P.s. 15 Neff, Patrizio 15 Pavelka, Michal 15 Ross, Shane D. 15 Titi, Edriss Saleh 15 Wiggins, Stephen R. 15 Zenkov, Dmitry V. 14 Betsch, Peter 14 Camassa, Roberto 14 Celledoni, Elena 14 Cotter, Colin John 14 Ibort, Alberto 14 Moncrief, Vincent E. 14 Montaldi, James A. 14 Olver, Peter John 14 Romero, Ignacio 14 Vizman, Cornelia 14 Zuccalli, Marcela 13 Brunton, Steven L. 13 Castrillón López, Marco 13 Desbrun, Mathieu 13 Ebin, David G. 13 Fassò, Francesco 13 Ferrer, Sebastián 13 Iwai, Toshihiro 13 Jiménez, Fernando 13 Kanso, Eva Adnan 13 Koiller, Jair 13 Lenells, Jonatan 13 Leonard, Naomi Ehrich 13 Leung, Shingyu 13 Mamaev, Ivan Sergeevich ...and 10,168 more Authors all top 5 Cited in 721 Serials 347 Journal of Mathematical Physics 285 Physica D 280 Computer Methods in Applied Mechanics and Engineering 233 Journal of Computational Physics 231 Journal of Geometry and Physics 206 Communications in Mathematical Physics 194 Journal of Differential Equations 168 Journal of Nonlinear Science 164 Archive for Rational Mechanics and Analysis 133 Journal of Mathematical Analysis and Applications 128 Celestial Mechanics and Dynamical Astronomy 123 Journal of Fluid Mechanics 116 International Journal for Numerical Methods in Engineering 90 Nonlinear Dynamics 89 International Journal of Geometric Methods in Modern Physics 89 Journal of Geometric Mechanics 86 Regular and Chaotic Dynamics 82 Reports on Mathematical Physics 76 Communications in Nonlinear Science and Numerical Simulation 75 Automatica 75 Journal of Elasticity 74 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 73 Transactions of the American Mathematical Society 73 Chaos 69 Applied Mathematics and Computation 67 Acta Mechanica 66 Systems & Control Letters 61 Letters in Mathematical Physics 61 Nonlinear Analysis. 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Series B 22 Journal of Computational Dynamics ...and 621 more Serials all top 5 Cited in 62 Fields 2,320 Dynamical systems and ergodic theory (37-XX) 2,082 Partial differential equations (35-XX) 1,994 Mechanics of particles and systems (70-XX) 1,689 Fluid mechanics (76-XX) 1,398 Differential geometry (53-XX) 1,268 Mechanics of deformable solids (74-XX) 1,178 Numerical analysis (65-XX) 828 Ordinary differential equations (34-XX) 790 Global analysis, analysis on manifolds (58-XX) 565 Systems theory; control (93-XX) 498 Quantum theory (81-XX) 395 Calculus of variations and optimal control; optimization (49-XX) 388 Relativity and gravitational theory (83-XX) 324 Biology and other natural sciences (92-XX) 257 Statistical mechanics, structure of matter (82-XX) 218 Operator theory (47-XX) 210 Probability theory and stochastic processes (60-XX) 179 Topological groups, Lie groups (22-XX) 144 Functional analysis (46-XX) 140 Computer science (68-XX) 135 Optics, electromagnetic theory (78-XX) 127 Manifolds and cell complexes (57-XX) 122 Geophysics (86-XX) 120 Nonassociative rings and algebras (17-XX) 103 Classical thermodynamics, heat transfer (80-XX) 103 Operations research, mathematical programming (90-XX) 85 Algebraic geometry (14-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 68 Statistics (62-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Real functions (26-XX) 62 Information and communication theory, circuits (94-XX) 60 Several complex variables and analytic spaces (32-XX) 52 Difference and functional equations (39-XX) 52 Algebraic topology (55-XX) 43 Astronomy and astrophysics (85-XX) 41 Functions of a complex variable (30-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 General and overarching topics; collections (00-XX) 34 Approximations and expansions (41-XX) 32 History and biography (01-XX) 32 General topology (54-XX) 31 Combinatorics (05-XX) 25 Number theory (11-XX) 25 Group theory and generalizations (20-XX) 25 Integral equations (45-XX) 23 Geometry (51-XX) 23 Convex and discrete geometry (52-XX) 22 Mathematical logic and foundations (03-XX) 22 Special functions (33-XX) 20 Measure and integration (28-XX) 18 Category theory; homological algebra (18-XX) 16 Associative rings and algebras (16-XX) 11 Commutative algebra (13-XX) 11 Abstract harmonic analysis (43-XX) 9 Potential theory (31-XX) 8 Field theory and polynomials (12-XX) 8 Integral transforms, operational calculus (44-XX) 5 \(K\)-theory (19-XX) 5 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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