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Marsden, Jerrold Eldon

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Author ID: marsden.jerrold-eldon Recent zbMATH articles by "Marsden, Jerrold Eldon"
Published as: Marsden, Jerrold E.; Marsden, J. E.; Marsden, Jerrold; Marsden, J.; Marsden, Jerry; Marsden, Jerrold Eldon; Marsden, Jerold
Further Spellings: Марсден Дж
Homepage: http://www.cds.caltech.edu/~marsden/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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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 Krechetnikov, Rouslan
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 Crouch, Peter E.
4 Du Toit, Philip C.
4 Ge, Zhong
4 Gotay, Mark J.
4 Jalnapurkar, Sameer M.
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 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 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 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 Lew, Adrian J.
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
...and 154 more Co-Authors
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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
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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

Citations contained in zbMATH Open

350 Publications have been cited 13,179 times in 7,967 Documents Cited by Year
Mathematical foundations of elasticity. Zbl 0545.73031
Marsden, Jerrold E.; Hughes, Thomas J. R.
665
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.
586
1978
Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401
Ebin, D. G.; Marsden, J.
538
1970
Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002
Abraham, R.; Marsden, J. E.; Ratiu, T.
469
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.
467
1976
Reduction of symplectic manifolds with symmetry. Zbl 0327.58005
Marsden, Jerrold; Weinstein, Alan
452
1974
Discrete mechanics and variational integrators. Zbl 1123.37327
Marsden, Jerrold E.; West, M.
364
2001
Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003
Marsden, Jerrold E.; Ratiu, Tudor S.
334
1999
The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020
Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
294
1998
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, 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 0181.39602
Choquet, Gustave
200
1969
Multisymplectic geometry, variational integrators, and nonlinear PDEs. Zbl 0951.70002
Marsden, 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 1045.70001
Bloch, A. M.
185
2003
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, 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 1161.76487
Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E.
173
2005
Lectures on mechanics. Zbl 0744.70004
Marsden, Jerrold E.
154
1992
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.
146
1977
Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002
Marsden, Jerrold E.; Ratiu, Tudor S.
142
1994
Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Zbl 1369.70038
Ge, Zhong; Marsden, Jerrold E.
130
1988
A mathematical introduction to fluid mechanics. Zbl 0417.76002
Chorin, A. J.; Marsden, J. E.
121
1979
Reduction of Poisson manifolds. Zbl 0602.58016
Marsden, Jerrold E.; Ratiu, Tudor
102
1986
General relativity. An Einstein centenary survey. Zbl 0424.53001
101
1979
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008
Marsden, Jerrold; Weinstein, Alan
101
1983
Controllability for distributed bilinear systems. Zbl 0485.93015
Ball, J. M.; Marsden, J. E.; Slemrod, M.
100
1982
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004
Kane, C.; Marsden, J. E.; Ortiz, M.; West, M.
97
2000
A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008
Chorin, A. J.; Marsden, J. E.
96
1990
Manifolds, tensor analysis, and applications. Zbl 0508.58001
Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor
91
1983
The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
90
1994
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
89
1978
Semidirect products and reduction in mechanics. Zbl 0529.58011
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
88
1984
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
86
1997
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.
86
2000
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.
86
2000
A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001
Chorin, Alexandre J.; Marsden, Jerrold E.
86
1993
The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082
Fischer, Arthur E.; Marsden, Jerrold E.
82
1972
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
82
1982
Stability of relative equilibria. I: The reduced energy-momentum method. Zbl 0738.70010
Simo, J. C.; Lewis, Debra; Marsden, J. E.
78
1991
A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010
Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja
77
2002
Variational time integrators. Zbl 1060.70500
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
76
2004
Asynchronous variational integrators. Zbl 1055.74041
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
75
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.
75
1988
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031
Holmes, Philip; Marsden, Jerrold
75
1981
Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013
Holmes, Philip J.; Marsden, Jerrold E.
74
1982
Reduction, symmetry, and phases in mechanics. Zbl 0713.58052
Marsden, 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 0545.58002
Marsden, J. E.; McCracken, M.
70
1980
Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025
Holmes, Philip J.; Marsden, Jerrold E.
69
1982
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
68
2007
Lagrangian reduction by stages. Zbl 1193.37072
Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S.
67
2001
Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006
Ball, J. M.; Marsden, J. E.
67
1984
Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014
Kane, C.; Marsden, J. E.; Ortiz, M.
63
1999
Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074
Marsden, Jerrold E.; Shkoller, Steve
63
2001
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.
63
2001
Properties of infinite dimensional Hamiltonian systems. Zbl 0301.58016
Chernoff, Paul R.; Marsden, Jerrold E.
59
1974
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
59
2005
The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S.
59
1996
Symmetry and bifurcations of momentum mappings. Zbl 0486.58008
Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent
59
1981
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.
57
2004
Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006
Holmes, Philip J.; Marsden, Jerrold E.
55
1983
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.
54
1992
Low energy transfer to the Moon. Zbl 0995.70009
Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D.
52
2001
Hamiltonian structures and stability for rigid bodies with flexible attachments. Zbl 0624.58010
Krishnaprasad, P. S.; Marsden, J. E.
51
1987
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.
49
2000
Deformations of the scalar curvature. Zbl 0336.53032
Fischer, Arthur E.; Marsden, Jerrold E.
48
1975
Elementary classical analysis. Zbl 0285.26005
Marsden, Jerrold E.
47
1974
Dimensional model reduction in nonlinear finite element dynamics of solids and structures. Zbl 1013.74071
Krysl, P.; Lall, S.; Marsden, J. E.
46
2001
Multisymplectic geometry, covariant Hamiltonians, and water waves. Zbl 0922.58029
Marsden, Jerrold E.; Shkoller, Steve
46
1999
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
45
2009
Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053
Yoshimura, Hiroaki; Marsden, Jerrold E.
44
2006
Variational methods, multisymplectic geometry and continuum mechanics. Zbl 1007.74018
Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew
43
2001
The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044
Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T.
43
1986
Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374
Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E.
43
2007
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.
42
2003
The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014
Marsden, Jerrold E.; Shkoller, Steve
42
2003
Homothetic and conformal symmetries of solutions to Einstein’s equations. Zbl 0604.53038
Eardley, D.; Isenberg, J.; Marsden, J.; Moncrief, V.
42
1986
Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057
Yoshimura, 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 1001.37062
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
41
2001
Finite element analysis of nonsmooth contact. Zbl 0963.74061
Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E.
40
1999
Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043
Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen
40
2000
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
On spatial and material covariant balance laws in elasticity. Zbl 1111.74004
Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael
40
2006
Variational integrators for constrained dynamical systems. Zbl 1153.70004
Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael
38
2008
The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. Zbl 0929.70009
Koon, Wang Sang; Marsden, Jerrold E.
38
1997
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
37
2011
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
37
2009
Applications of global analysis in mathematical physics. Zbl 0367.58001
Marsden, Jerry
36
1974
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
36
2003
Lagrangian reduction and the double spherical pendulum. Zbl 0778.70016
Marsden, Jerrold E.; Scheurle, Jürgen
36
1993
Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry. Zbl 0954.35144
Rowley, Clarence W.; Marsden, Jerrold E.
35
2000
Discrete Euler-Poincaré and Lie-Poisson equations. Zbl 0978.37045
Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve
34
1999
Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028
Holmes, Philip; Marsden, Jerrold
34
1978
Structure-preserving discretization of incompressible fluids. Zbl 1208.37047
Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M.
33
2011
Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036
Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt
33
2003
Elementary classical analysis. 2. ed. Zbl 0777.26001
Marsden, Jerrold E.; Hoffman, Michael J.
32
1993
Dissipation induced instabilities. Zbl 0834.58025
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S.
32
1994
Linearization stability of the Einstein equations. Zbl 0274.58003
Fischer, Arthur E.; Marsden, Jerrold E.
31
1973
Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700
Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E.
31
2006
Applications of the blowing-up construction and algebraic geometry to bifurcation problems. Zbl 0464.34030
Buchner, Michael; Marsden, Jerrold; Schecter, Stephen
31
1983
Poisson reduction for nonholonomic mechanical systems with symmetry. Zbl 1120.37314
Koon, Wang Sang; Marsden, Jerrold E.
31
1998
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
31
2005
Structure-preserving model reduction for mechanical systems. Zbl 1041.70011
Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E.
31
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.
24
2015
Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014
Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E.
16
2015
Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. Zbl 1393.70034
Marsden, Jerrold E.; Wang, Hong; Zhang, Zhenxing
2
2014
Variational integrators for electric circuits. Zbl 1298.78024
Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E.
4
2013
Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S.
14
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.
6
2012
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
37
2011
Structure-preserving discretization of incompressible fluids. Zbl 1208.37047
Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M.
33
2011
Geometric, variational discretization of continuum theories. Zbl 1366.37148
Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M.
28
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.
9
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.
4
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.
2
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.
29
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.
28
2010
Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071
Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S.
20
2010
The dynamics of a rigid body in potential flow with circulation. Zbl 1258.76051
Vankerschaver, J.; Kanso, E.; Marsden, J. E.
9
2010
Horseshoes in hurricanes. Zbl 1205.37032
Du Toit, Philip C.; Marsden, Jerrold E.
2
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.
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.
45
2009
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
37
2009
The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055
Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E.
15
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
14
2009
Covariant balance laws in continua with microstructure. Zbl 1169.74009
Yavari, Arash; Marsden, Jerrold E.
9
2009
Dirac cotangent bundle reduction. Zbl 1168.70314
Yoshimura, Hiroaki; Marsden, Jerrold E.
8
2009
Coupled oscillator models with no scale separation. Zbl 1157.37343
Du Toit, Philip; Mezić, Igor; Marsden, Jerrold
7
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.
4
2009
The Jacobi-Maupertuis principle in variational integrators. Zbl 1182.65190
Nair, Sujit; Ober-Blöbaum, Sina; Marsden, Jerrold E.
2
2009
Variational integrators for constrained dynamical systems. Zbl 1153.70004
Leyendecker, 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 1161.76447
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.
9
2008
A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012
Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S.
7
2008
Dissipation-induced heteroclinic orbits in tippe tops. Zbl 1138.70012
Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A.
4
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.
4
2008
Covariant and dynamical reduction for principal bundle field theories. Zbl 1162.83347
Castrillón López, Marco; Marsden, Jerrold E.
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
Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K.
2
2008
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
68
2007
Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374
Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E.
43
2007
Dissipation-induced instabilities in finite dimensions. Zbl 1205.70002
Krechetnikov, R.; Marsden, J. E.
29
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
17
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
Reduction of Dirac structures and the Hamilton-Pontryagin principle. Zbl 1141.53081
Yoshimura, Hiroaki; Marsden, Jerrold E.
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.
44
2006
Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057
Yoshimura, Hiroaki; Marsden, Jerrold E.
41
2006
On spatial and material covariant balance laws in elasticity. Zbl 1111.74004
Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael
40
2006
Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700
Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E.
31
2006
New methods in celestial mechanics and mission design. Zbl 1098.70013
Marsden, Jerrold E.; Ross, Shane D.
15
2006
On destabilizing effects of two fundamental non-conservative forces. Zbl 1159.70357
Krechetnikov, R.; Marsden, J. E.
11
2006
Discrete Routh reduction. Zbl 1090.37042
Jalnapurkar, Sameer M.; Leok, Melvin; Marsden, Jerrold E.; West, Matthew
9
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.
173
2005
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
59
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
31
2005
Discrete Poincaré lemma. Zbl 1080.39021
Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E.
26
2005
Tricubic interpolation in three dimensions. Zbl 1140.76423
Lekien, F.; Marsden, J.
24
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
21
2005
Nonholonomic dynamics. Zbl 1142.70006
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
17
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.
6
2005
Relative equilibria for the generalized rigid body. Zbl 1088.37024
Hernández-Garduño, Antonio; Lawson, Jeffrey K.; Marsden, Jerrold E.
6
2005
A geometric treatment of Jellett’s egg. Zbl 1149.70305
Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A.
6
2005
The Lie-Poisson structure of the Euler equations of an ideal fluid. Zbl 1184.35257
Vasylkevych, 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 1077.37522
Dellnitz, M.; Grubits, K. A.; Marsden, J. E.; Padberg, K.; Thiere, B.
3
2005
Spacecraft dynamics near a binary asteroid. Zbl 1144.37457
Gabern, F.; Koon, W. S.; Marsden, J. E.
2
2005
Variational time integrators. Zbl 1060.70500
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
76
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.
57
2004
Tippe top inversion as a dissipation-induced instability. Zbl 1147.70303
Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A.
17
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.
4
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.
185
2003
Asynchronous variational integrators. Zbl 1055.74041
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
75
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.
42
2003
The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014
Marsden, Jerrold E.; Shkoller, Steve
42
2003
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
36
2003
Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036
Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt
33
2003
Structure-preserving model reduction for mechanical systems. Zbl 1041.70011
Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E.
31
2003
Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004
Tret’yakov, Alexey; Marsden, Jerrold E.
25
2003
Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314
Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S.
23
2003
Some remarks on Lagrangian and Poisson reduction for field theories. Zbl 1037.70016
Castrillón López, Marco; Marsden, Jerrold E.
20
2003
Variational multisymplectic formulations of nonsmooth continuum mechanics. Zbl 1256.37039
Fetecau, R. C.; Marsden, J. E.; West, M.
8
2003
Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction. Zbl 1032.76537
Shashikanth, Banavara N.; Marsden, Jerrold E.
7
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.
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 1006.93010
Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja
77
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.
30
2002
Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043
Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M.
23
2002
Constructing a low energy transfer between Jovian moons. Zbl 1022.70013
Koon, Wang Sang; Marsden, Jerrold E.; Ross, Shane D.
21
2002
Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388
Serban, Radu; Koon, Wang S.; Lo, Martin W.; Marsden, Jerrold E.; Petzold, Linda R.
8
2002
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Cited by 8,802 Authors

141 Marsden, Jerrold Eldon
92 Holm, Darryl D.
75 Ratiu, Tudor Stefan
58 Gay-Balmaz, François
51 Martín de Diego, David
40 Bloch, Anthony Michael
33 de León Rodríguez, Manuel
32 Llibre, Jaume
30 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.
22 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 Grmela, Miroslav
17 Kolev, Boris
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 Froyland, Gary
16 Muñoz-Lecanda, Miguel C.
16 Ober-Blöbaum, Sina
16 Ortega, Juan-Pablo
15 Balasuriya, Sanjeeva
15 Borisov, Alekseĭ Vladimirovich
15 Colombo, Leonardo Jesus
15 Hong, Jialin
15 Ibrahimbegović, Adnan
15 Mestdag, Tom
15 Ortega, Romeo S.
15 Steinmann, Paul
15 Sun, Yajuan
14 Escher, Joachim
14 Krishnaprasad, P.s.
14 Mariano, Paolo Maria
14 Moncrief, Vincent E.
14 Neff, Patrizio
14 Ross, Shane D.
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 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 Romero, Ignacio
12 Ruggeri, Tommaso
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Cited in 649 Serials

331 Journal of Mathematical Physics
247 Physica D
238 Computer Methods in Applied Mechanics and Engineering
209 Journal of Geometry and Physics
201 Communications in Mathematical Physics
198 Journal of Computational Physics
183 Journal of Differential Equations
157 Archive for Rational Mechanics and Analysis
147 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
74 Reports on Mathematical Physics
73 Chaos
72 Transactions of the American Mathematical Society
69 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. Zeitschrift für angewandte Mathematik und Physik
55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
55 Nonlinear Analysis. Theory, Methods & Applications
49 Differential Geometry and its Applications
47 International Journal of Theoretical Physics
47 Journal of Computational and Applied Mathematics
47 Journal of Functional Analysis
46 Proceedings of the American Mathematical Society
46 Physics of Fluids
42 Computational Mechanics
41 Computers & Mathematics with Applications
41 Journal of Dynamics and Differential Equations
36 Chaos, Solitons and Fractals
36 Discrete and Continuous Dynamical Systems
35 International Journal of Control
35 Journal of Statistical Physics
35 Acta Applicandae Mathematicae
34 Journal of the Mechanics and Physics of Solids
33 Journal of Mathematical Biology
33 Annals of Global Analysis and Geometry
33 Journal of Mathematical Sciences (New York)
32 Theoretical and Mathematical Physics
32 Communications in Partial Differential Equations
32 Journal of Nonlinear Mathematical Physics
31 Advances in Mathematics
31 Continuum Mechanics and Thermodynamics
30 Numerische Mathematik
30 Annales de l’Institut Henri Poincaré. Physique Théorique
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29 SIAM Journal on Scientific Computing
29 Mathematical Problems in Engineering
29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
28 Nonlinearity
28 SIAM Journal on Applied Dynamical Systems
27 Mathematische Zeitschrift
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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26 Physics Letters. A
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26 The Journal of Geometric Analysis
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25 Bulletin of the American Mathematical Society. New Series
25 Calculus of Variations and Partial Differential Equations
25 Mathematics and Mechanics of Solids
24 Mathematical Methods in the Applied Sciences
24 SIAM Journal on Mathematical Analysis
24 Multibody System Dynamics
23 International Journal for Numerical Methods in Fluids
23 Mathematics of Computation
23 Foundations of Physics
22 Reviews in Mathematical Physics
21 Computers and Fluids
21 Acta Mathematicae Applicatae Sinica. English Series
21 Applied Mathematics Letters
21 Mathematical and Computer Modelling
21 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
20 Classical and Quantum Gravity
20 International Journal of Engineering Science
20 Monatshefte für Mathematik
20 Siberian Mathematical Journal
20 Journal of Scientific Computing
19 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
19 Meccanica
19 Dynamics and Stability of Systems
19 Doklady Mathematics
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Cited in 62 Fields

2,073 Dynamical systems and ergodic theory (37-XX)
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30 Harmonic analysis on Euclidean spaces (42-XX)
26 History and biography (01-XX)
23 Combinatorics (05-XX)
22 Number theory (11-XX)
22 Integral equations (45-XX)
21 Approximations and expansions (41-XX)
20 Group theory and generalizations (20-XX)
18 Special functions (33-XX)
17 Mathematical logic and foundations (03-XX)
16 Geometry (51-XX)
14 Category theory; homological algebra (18-XX)
14 Measure and integration (28-XX)
14 Convex and discrete geometry (52-XX)
13 Associative rings and algebras (16-XX)
10 Commutative algebra (13-XX)
8 Potential theory (31-XX)
8 Abstract harmonic analysis (43-XX)
7 Field theory and polynomials (12-XX)
6 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

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