Edit Profile Marsden, Jerrold Eldon Compute Distance To: Compute Author ID: marsden.jerrold-eldon Published as: Marsden, J.; Marsden, J. E.; Marsden, Jerold; Marsden, Jerrold; Marsden, Jerrold E.; Marsden, Jerrold Eldon; Marsden, Jerry Homepage: http://www.cds.caltech.edu/~marsden/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 387 Publications since 1965, including 50 Books Biographic References: 6 Publications all top 5 Co-Authors 42 single-authored 45 Ratiu, Tudor Stefan 22 Bloch, Anthony M. 19 Fischer, Arthur Elliot 17 Weinstein, Alan David 15 Holm, Darryl D. 14 Alber, Mark S. 14 Koon, Wang Sang 14 Ortiz, Michael 13 Krishnaprasad, P.s. 12 Scheurle, Jürgen 11 Holmes, Philip J. 10 Shkoller, Steve 10 Simo, Juan Carlos 10 West, Matthew 9 Cendra, Hernán 9 Ross, Shane D. 7 Chang, Dong Eui 7 Desbrun, Mathieu 7 Lo, Martin W. 7 Pekarsky, Sergey 6 Ebin, David G. 6 Hughes, Thomas J. R. 6 Kanso, Eva Adnan 6 Leonard, Naomi Ehrich 6 Lewis, Debra 6 Moncrief, Vincent E. 6 Zenkov, Dmitry V. 5 Camassa, Roberto 5 Dellnitz, Michael 5 Krechetnikov, Rouslan 5 Kruse, Hans-Peter 5 Lekien, Francois 5 Tromba, Anthony Joseph 5 Yavari, Arash 5 Yoshimura, Hiroaki 4 Abraham, Ralph Herman 4 Arms, Judith Meryl 4 Bou-Rabee, Nawaf M. 4 Castrillón López, Marco 4 Chernoff, Paul R. 4 Chorin, Alexandre Joel 4 Du Toit, Philip C. 4 Ge, Zhong 4 Golubitsky, Martin A. 4 Gotay, Mark J. 4 Jalnapurkar, Sameer M. 4 Kane, Couro 4 Luther, Gregory G. 4 Montgomery, Richard 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 M. 3 Choquet-Bruhat, Yvonne 3 Fetecau, Razvan C. 3 Gabern, Frederic 3 Lall, Sanjay 3 Leok, Melvin 3 McCracken, Marjorie F. 3 Mullen, Patrick 3 Pavlov, Dmitry V. 3 Perlmutter, Matthew 3 Raugel, Geneviève 3 Romero, Louis A. 3 Rowley, Clarence W. 3 Wendlandt, Jeffrey M. 2 Beattie, Margaret 2 Buchner, Michael A. 2 Chillingworth, D. R. J. 2 Crouch, Peter E. 2 Dabiri, John O. 2 Fedorov, Yuri N. 2 Gawlik, Evan S. 2 Hernández-Garduño, Antonio 2 Hoffman, Michael J. 2 Isenberg, James A. 2 Junge, Oliver 2 Kane, Coleman 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. 2 Murray, Richard M. 2 Nair, Sujit 2 Oh, Yong-Geun 2 O’Reilly, Oliver Mary 2 Padberg-Gehle, Kathrin 2 Pandolfi, Anna 2 Patrick, George W. 2 Robbins, Jonathan M. 2 Salam, Fathi M. Abdel ...and 106 more Co-Authors all top 5 Serials 17 Archive for Rational Mechanics and Analysis 17 Physica D 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 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 1 Journal of Applied Mathematics 1 AMRX. Applied Mathematics Research eXpress ...and 8 more Serials all top 5 Fields 171 Dynamical systems and ergodic theory (37-XX) 159 Mechanics of particles and systems (70-XX) 76 Fluid mechanics (76-XX) 68 Differential geometry (53-XX) 62 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 44 Mechanics of deformable solids (74-XX) 28 Systems theory; control (93-XX) 27 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 20 Relativity and gravitational theory (83-XX) 18 General and overarching topics; collections (00-XX) 14 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) 4 Algebraic geometry (14-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-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 341 Publications have been cited 12,972 times in 8,108 Documents Cited by ▼ Year ▼ 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. 951 1978 Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 730 1983 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. 513 1976 Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401Ebin, D. G.; Marsden, J. 510 1970 Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002Abraham, R.; Marsden, J. E.; Ratiu, T. 458 1988 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005Marsden, Jerrold; Weinstein, Alan 437 1974 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003Marsden, Jerrold E.; Ratiu, Tudor S. 409 1999 Discrete mechanics and variational integrators. Zbl 1123.37327Marsden, Jerrold E.; West, M. 320 2001 The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S. 273 1998 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002Marsden, Jerrold E.; Ratiu, Tudor S. 253 1994 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 214 1985 Lectures on mechanics. Zbl 0744.70004Marsden, Jerrold E. 180 1992 Multisymplectic geometry, variational integrators, and nonlinear PDEs. Zbl 0951.70002Marsden, Jerrold E.; Patrick, George W.; Shkoller, Steve 177 1998 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 173 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. 156 2005 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. 143 1977 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 141 1979 Manifolds, tensor analysis, and applications. Zbl 0508.58001Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor 129 1983 Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Zbl 1369.70038Ge, Zhong; Marsden, Jerrold E. 122 1988 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 99 1993 Reduction of Poisson manifolds. Zbl 0602.58016Marsden, Jerrold E.; Ratiu, Tudor 97 1986 Controllability for distributed bilinear systems. Zbl 0485.93015Ball, J. M.; Marsden, J. E.; Slemrod, M. 95 1982 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008Marsden, Jerrold; Weinstein, Alan 94 1983 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 93 1990 Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004Kane, C.; Marsden, J. E.; Ortiz, M.; West, M. 90 2000 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 87 1978 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. 85 1994 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 80 1984 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. 79 2000 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507Wendlandt, Jeffrey M.; Marsden, Jerrold E. 79 1997 Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. 78 2000 Stability of relative equilibria. I: The reduced energy-momentum method. Zbl 0738.70010Simo, J. C.; Lewis, Debra; Marsden, J. E. 77 1991 A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031Holmes, Philip; Marsden, Jerrold 77 1981 The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082Fischer, Arthur E.; Marsden, Jerrold E. 77 1972 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 76 1982 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 75 2004 Properties of infinite dimensional Hamiltonian systems. Zbl 0301.58016Chernoff, Paul R.; Marsden, Jerrold E. 75 1974 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 73 2003 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 73 2002 Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013Holmes, Philip J.; Marsden, Jerrold E. 73 1982 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. 73 1980 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. 72 1988 Reduction, symmetry, and phases in mechanics. Zbl 0713.58052Marsden, J. E.; Montgomery, R.; Ratiu, T. 70 1990 Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025Holmes, Philip J.; Marsden, Jerrold E. 68 1982 Lagrangian reduction by stages. Zbl 1193.37072Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S. 67 2001 Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006Ball, J. M.; Marsden, J. E. 66 1984 Symmetry and bifurcations of momentum mappings. Zbl 0486.58008Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent 60 1981 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074Marsden, Jerrold E.; Shkoller, Steve 59 2001 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 58 2007 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. 57 2001 Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014Kane, C.; Marsden, J. E.; Ortiz, M. 57 1999 Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006Holmes, Philip J.; Marsden, Jerrold E. 57 1983 The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. 55 1996 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 54 2005 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. 52 2004 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. 52 1992 Hamiltonian structures and stability for rigid bodies with flexible attachments. Zbl 0624.58010Krishnaprasad, P. S.; Marsden, J. E. 50 1987 Elementary classical analysis. Zbl 0285.26005Marsden, Jerrold E. 48 1974 Low energy transfer to the Moon. Zbl 0995.70009Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 47 2001 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166Bou-Rabee, Nawaf; Marsden, Jerrold E. 45 2009 Dimensional model reduction in nonlinear finite element dynamics of solids and structures. Zbl 1013.74071Krysl, P.; Lall, S.; Marsden, J. E. 44 2001 Multisymplectic geometry, covariant Hamiltonians, and water waves. Zbl 0922.58029Marsden, Jerrold E.; Shkoller, Steve 44 1999 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053Yoshimura, Hiroaki; Marsden, Jerrold E. 43 2006 Dynamical systems, the three-body problem and space mission design. Zbl 0985.70007Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 43 2000 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 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 Deformations of the scalar curvature. Zbl 0336.53032Fischer, Arthur E.; Marsden, Jerrold E. 41 1975 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 40 2006 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 40 2006 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 40 2003 The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T. 40 1986 On the rotated stress tensor and the material version of the Doyle- Ericksen formula. Zbl 0567.73003Simo, Juan C.; Marsden, Jerrold E. 40 1984 Variational methods, multisymplectic geometry and continuum mechanics. Zbl 1007.74018Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew 39 2001 Homothetic and conformal symmetries of solutions to Einstein’s equations. Zbl 0604.53038Eardley, D.; Isenberg, J.; Marsden, J.; Moncrief, V. 39 1986 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 38 2007 Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen 38 2000 Finite element analysis of nonsmooth contact. Zbl 0963.74061Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E. 38 1999 The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. Zbl 0929.70009Koon, Wang Sang; Marsden, Jerrold E. 37 1997 Lagrangian reduction and the double spherical pendulum. Zbl 0778.70016Marsden, Jerrold E.; Scheurle, Jürgen 37 1993 Applications of global analysis in mathematical physics. Zbl 0367.58001Marsden, Jerry 37 1974 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 36 2009 Exponentially small splittings of separatrices with applications of KAM theory and degenerate bifurcations. Zbl 0685.70017Holmes, Philip; Marsden, Jerrold; Scheurle, Jürgen 36 1988 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 35 2011 Variational integrators for constrained dynamical systems. Zbl 1153.70004Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 35 2008 Discrete Euler-Poincaré and Lie-Poisson equations. Zbl 0978.37045Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve 34 1999 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 33 2003 Lectures on geometric methods in mathematical physics. Zbl 0485.70001Marsden, Jerrold E. 33 1981 Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028Holmes, Philip; Marsden, Jerrold 33 1978 Elementary classical analysis. 2. ed. Zbl 0777.26001Marsden, Jerrold E.; Hoffman, Michael J. 32 1993 Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry. Zbl 0954.35144Rowley, Clarence W.; Marsden, Jerrold E. 31 2000 Poisson reduction for nonholonomic mechanical systems with symmetry. Zbl 1120.37314Koon, Wang Sang; Marsden, Jerrold E. 31 1998 Applications of the blowing-up construction and algebraic geometry to bifurcation problems. Zbl 0464.34030Buchner, Michael; Marsden, Jerrold; Schecter, Stephen 31 1983 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 30 2005 Optimal control for holonomic and nonholonomic mechanical systems with symmetry and Lagrangian reduction. Zbl 0880.70020Koon, Wang-Sang; Marsden, Jerrold E. 30 1997 The reduced Euler-Lagrange equations. Zbl 0789.70013Marsden, Jerrold E.; Scheurle, Jürgen 30 1993 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 29 2005 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 29 2003 Dissipation induced instabilities. Zbl 0834.58025Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S. 29 1994 Basic complex analysis. 2nd ed. Zbl 0644.30001Marsden, Jerrold E.; Hoffman, Michael J. 29 1987 Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S. 29 1986 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 15 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. 13 2012 Integration of the EPDiff equation by particle methods. Zbl 1272.65079Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 9 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. 5 2012 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 35 2011 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 26 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 25 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. 8 2011 Lyapunov constraints and global asymptotic stabilization. Zbl 1227.93101Grillo, Sergio; Marsden, Jerrold E.; Nair, Sujit 3 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. 3 2011 Replica time integrators. Zbl 1242.74195Venturini, G.; Yang, J. Z.; Ortiz, M.; Marsden, J. E. 1 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. 28 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. 25 2010 Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S. 18 2010 The dynamics of a rigid body in potential flow with circulation. Zbl 1258.76051Vankerschaver, J.; Kanso, E.; Marsden, J. E. 6 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. 36 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 13 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 12 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 Coupled oscillator models with no scale separation. Zbl 1157.37343Du Toit, Philip; Mezić, Igor; Marsden, Jerrold 7 2009 Energy balance invariance for interacting particle systems. Zbl 1171.70007Yavari, Arash; Marsden, Jerrold E. 6 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. 3 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 35 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. 11 2008 Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507Zielonka, M. G.; Ortiz, M.; Marsden, J. E. 9 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 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 Dissipation-induced heteroclinic orbits in tippe tops. Zbl 1138.70012Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 4 2008 Covariant and dynamical reduction for principal bundle field theories. Zbl 1162.83347Castrillón López, Marco; Marsden, Jerrold E. 3 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 Parametrization and stress-energy-momentum tensors in metric field theories. Zbl 1325.70054Castrillón López, Marco; Gotay, Mark J.; Marsden, Jerrold E. 2 2008 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 58 2007 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 38 2007 Dissipation-induced instabilities in finite dimensions. Zbl 1205.70002Krechetnikov, R.; Marsden, J. E. 27 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 13 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. 43 2006 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 40 2006 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 40 2006 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 28 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. 10 2006 Discrete Routh reduction. Zbl 1090.37042Jalnapurkar, Sameer M.; Leok, Melvin; Marsden, Jerrold E.; West, Matthew 7 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. 156 2005 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 54 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 30 2005 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 29 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 Tricubic interpolation in three dimensions. Zbl 1140.76423Lekien, F.; Marsden, J. 21 2005 Nonholonomic dynamics. Zbl 1142.70006Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 15 2005 Lagrangian averaging for compressible fluids. Zbl 1108.76070Bhat, H. S.; Fetecau, R. C.; Marsden, J. E.; Mohseni, K.; West, M. 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 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. 5 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 Regularization of the amended potential and the bifurcation of relative equilibria. Zbl 1081.37056Hernández-Garduño, A.; Marsden, J. E. 1 2005 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 75 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. 52 2004 Tippe top inversion as a dissipation-induced instability. Zbl 1147.70303Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 15 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. 10 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. 4 2004 Cocycles, compatibility, and Poisson brackets for complex fluids. Zbl 1082.76011Cendra, Hernán; Marsden, Jerrold; Ratiu, Tudor S. 3 2004 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 73 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 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 40 2003 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 33 2003 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 29 2003 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 26 2003 Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004Tret’yakov, Alexey; Marsden, Jerrold E. 24 2003 Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S. 22 2003 Some remarks on Lagrangian and Poisson reduction for field theories. Zbl 1037.70016Castrillón López, Marco; Marsden, Jerrold E. 21 2003 Variational multisymplectic formulations of nonsmooth continuum mechanics. Zbl 1256.37039Fetecau, R. C.; Marsden, J. E.; West, M. 9 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. 4 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 1009.00024Kaplan, Ehud (ed.); Marsden, Jerrold E. (ed.); Sreenivasan, Katepalli R. (ed.) 1 2003 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 73 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. 28 2002 Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M. 22 2002 Constructing a low energy transfer between Jovian moons. Zbl 1022.70013Koon, Wang Sang; Marsden, Jerrold E.; Ross, Shane D. 19 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. 7 2002 The symmetric representation of the rigid body equations and their discretization. Zbl 1064.70004Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Ratiu, Tudor S. 6 2002 The Lyapunov-Malkin theorem and stabilization of the unicycle with rider. Zbl 0994.93046Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E. 5 2002 ...and 241 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,262 Authors 143 Marsden, Jerrold Eldon 90 Holm, Darryl D. 76 Ratiu, Tudor Stefan 50 Gay-Balmaz, François 48 Martín de Diego, David 41 Bloch, Anthony M. 39 Llibre, Jaume 34 de León Rodríguez, Manuel 31 Ortiz, Michael 31 Simo, Juan Carlos 29 Guha, Partha 28 Holmes, Philip J. 27 Leok, Melvin 27 Marmo, Giuseppe 26 Śniatycki, Jędrzej 26 Yavari, Arash 25 de la Llave, Rafael 24 Tret’yakov, Alexey A. 22 Haller, George 20 Marrero, Juan Carlos 20 Miehe, Christian 20 van der Schaft, Arjan J. 20 Wang, Yushun 19 Fischer, Arthur Elliot 19 McLachlan, Robert I. 19 Weinstein, Alan David 18 Bauer, Martin 18 Cendra, Hernán 18 Leyendecker, Sigrid 18 Román-Roy, Narciso 18 Steinmann, Paul 17 Ciarlet, Philippe Gaston 17 Froyland, Gary 17 Palacián, Jesús F. 17 Preston, Stephen C. 17 Prykarpatsky, Anatoliy Karolevych 17 Qin, Mengzhao 16 García-Naranjo, Luis C. 16 Kolev, Boris 16 Krishnaprasad, P.s. 16 Lew, Adrian J. 16 Modin, Klas 16 Ortega, Juan-Pablo 16 Putkaradze, Vakhtang 16 Sun, Yajuan 16 Tronci, Cesare 16 Tudoran, Răzvan Micu 16 Yoshimura, Hiroaki 15 Bruveris, Martins 15 Cariñena, José F. 15 Colombo, Leonardo Jesus 15 Esen, Oğul 15 Grmela, Miroslav 15 Hong, Jialin 15 Ibrahimbegović, Adnan 15 Misiołek, Gerard 15 Moncrief, Vincent E. 15 Muñoz-Lecanda, Miguel C. 15 Ober-Blöbaum, Sina 15 Ortega, Romeo S. 15 Wiggins, Stephen 14 Balasuriya, Sanjeeva 14 Bates, Larry M. 14 Borisov, Alekseĭ Vladimirovich 14 Escher, Joachim 14 Ibort, Alberto 14 Iwai, Toshihiro 14 Koiller, Jair 14 Neff, Patrizio 14 Odzijewicz, Anatol 14 Ross, Shane D. 14 Titi, Edriss Saleh 14 Wan, Yieh-Hei 14 Zenkov, Dmitry V. 13 Betsch, Peter 13 Birtea, Petre 13 Ebin, David G. 13 Gotay, Mark J. 13 Hughes, Thomas J. R. 13 Kanso, Eva Adnan 13 Lenells, Jonatan 13 Mamaev, Ivan Sergeevich 13 Mardare, Cristinel 13 Mariano, Paolo Maria 13 Mestdag, Tom 13 Vankerschaver, Joris 13 Yanguas, Patricia 12 Bogoyavlenskij, Oleg Igorevich 12 Cai, Jiaxiang 12 Cantrijn, Frans 12 Cruzeiro, Ana-Bela 12 Desbrun, Mathieu 12 Ferrer, Sebastián 12 Gozzi, Ennio 12 Jiménez, Fernando 12 Khesin, Boris A. 12 Leonard, Naomi Ehrich 12 Olver, Peter John 12 Patrick, George W. 12 Romano, Giovanni Paolo ...and 9,162 more Authors all top 5 Cited in 630 Serials 331 Journal of Mathematical Physics 272 Computer Methods in Applied Mechanics and Engineering 270 Physica D 246 Journal of Geometry and Physics 210 Journal of Computational Physics 210 Journal of Differential Equations 196 Communications in Mathematical Physics 154 Archive for Rational Mechanics and Analysis 142 Journal of Nonlinear Science 137 Journal of Mathematical Analysis and Applications 122 Reports on Mathematical Physics 108 International Journal for Numerical Methods in Engineering 104 Celestial Mechanics and Dynamical Astronomy 99 Journal of Fluid Mechanics 82 Nonlinear Dynamics 79 Automatica 77 International Journal of Geometric Methods in Modern Physics 76 Regular and Chaotic Dynamics 74 Chaos 72 Transactions of the American Mathematical Society 70 Systems & Control Letters 67 Journal of Elasticity 66 Applied Mathematics and Computation 66 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 64 Nonlinear Analysis. 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Académie des Sciences, Paris 20 Siberian Mathematical Journal 19 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 19 Meccanica 19 Dynamics and Stability of Systems 19 Multibody System Dynamics 19 Foundations of Physics 18 Bulletin of Mathematical Biology 18 BIT 18 Mathematics and Computers in Simulation 18 Monatshefte für Mathematik ...and 530 more Serials all top 5 Cited in 63 Fields 2,169 Dynamical systems and ergodic theory (37-XX) 1,810 Mechanics of particles and systems (70-XX) 1,741 Partial differential equations (35-XX) 1,385 Fluid mechanics (76-XX) 1,219 Differential geometry (53-XX) 1,165 Mechanics of deformable solids (74-XX) 938 Numerical analysis (65-XX) 786 Ordinary differential equations (34-XX) 727 Global analysis, analysis on manifolds (58-XX) 492 Systems theory; control (93-XX) 488 Quantum theory (81-XX) 356 Calculus of variations and optimal control; optimization (49-XX) 341 Relativity and gravitational theory (83-XX) 280 Biology and other natural sciences (92-XX) 215 Statistical mechanics, structure of matter (82-XX) 197 Operator theory (47-XX) 170 Probability theory and stochastic processes (60-XX) 165 Topological groups, Lie groups (22-XX) 133 Functional analysis (46-XX) 115 Nonassociative rings and algebras (17-XX) 113 Manifolds and cell complexes (57-XX) 112 Optics, electromagnetic theory (78-XX) 97 Geophysics (86-XX) 92 Classical thermodynamics, heat transfer (80-XX) 89 Computer science (68-XX) 82 Operations research, mathematical programming (90-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 69 Algebraic geometry (14-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Statistics (62-XX) 50 Several complex variables and analytic spaces (32-XX) 49 Algebraic topology (55-XX) 49 Information and communication theory, circuits (94-XX) 45 Real functions (26-XX) 44 Difference and functional equations (39-XX) 34 Astronomy and astrophysics (85-XX) 33 Functions of a complex variable (30-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 28 General and overarching topics; collections (00-XX) 28 General topology (54-XX) 27 History and biography (01-XX) 27 Combinatorics (05-XX) 26 Group theory and generalizations (20-XX) 24 Number theory (11-XX) 22 Approximations and expansions (41-XX) 22 Integral equations (45-XX) 20 Geometry (51-XX) 17 Measure and integration (28-XX) 16 Mathematical logic and foundations (03-XX) 15 Category theory; homological algebra (18-XX) 15 Convex and discrete geometry (52-XX) 14 Special functions (33-XX) 13 Associative rings and algebras (16-XX) 11 Commutative algebra (13-XX) 9 Field theory and polynomials (12-XX) 8 Abstract harmonic analysis (43-XX) 7 Potential theory (31-XX) 6 Integral transforms, operational calculus (44-XX) 5 \(K\)-theory (19-XX) 4 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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