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Ratiu, Tudor Stefan

Author ID: ratiu.tudor-stefan Recent zbMATH articles by "Ratiu, Tudor Stefan"
Published as: Ratiu, Tudor S.; Ratiu, Tudor; Ratiu, T. S.; Ratiu, T.; Ratiu, Tudor Stefan
Homepage: http://math.sjtu.edu.cn/faculty/show.php?id=153
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Documents Indexed: 253 Publications since 1972, including 16 Books and 18 Additional arXiv Preprints
15 Contributions as Editor
Reviewing Activity: 83 Reviews
Biographic References: 1 Publication
Co-Authors: 138 Co-Authors with 253 Joint Publications
3,340 Co-Co-Authors
all top 5

Co-Authors

13 single-authored
46 Marsden, Jerrold Eldon
32 Gay-Balmaz, François
27 Ortega, Juan-Pablo
22 Bloch, Anthony Michael
20 Holm, Darryl Dallas
12 Smolyanov, Oleg Georgievich
8 Birtea, Petre
8 Castrillón López, Marco
8 Flaschka, Hermann
8 Gough, John E.
8 Lewis, Debra
8 Pelayo, Alvaro
8 Schmid, Rudolf
8 Weinstein, Alan David
7 Jotz Lean, Madeleine
6 Cendra, Hernán
6 Chechkin, Gregory Aleksandrovich
6 Odzijewicz, Anatol
5 Adams, Malcolm R.
5 Demoures, François
5 Krishnaprasad, P.s.
5 Montgomery, Richard
5 Nguyen Tien Zung
5 Raugel, Geneviève
4 Bao, David
4 Puta, Mircea
4 Tronci, Cesare
4 Tudoran, Răzvan Micu
3 Beltiţă, Daniel
3 Brockett, Roger Ware
3 Busuioc, Adriana Valentina
3 Chossat, Pascal
3 Crouch, Peter E.
3 Derks, Gianne
3 Desbrun, Mathieu
3 Eliashberg, Yakov Matveevich
3 Newell, Alan C.
3 Perlmutter, Matthew
3 Romanov, Maksim S.
3 Samokhin, Vyacheslav N.
3 Scheurle, Jürgen
3 Vũ Ngọc, San
2 Abraham, Ralph Herman
2 Brînzănescu, Vasile
2 Craioveanu, Mircea-Eugen
2 Cruzeiro, Ana-Bela
2 Diez, Tobias
2 Dobrogowska, Alina
2 Drăgulete, Oana M.
2 Ellis, David C. P.
2 Iserles, Arieh
2 Martín de Diego, David
2 Mazer, Arthur A.
2 Meier, David M.
2 Michor, Peter Wolfram
2 Misiołek, Gerard
2 Montaldi, James A.
2 Muñoz Masqué, Jaime
2 Neeb, Karl-Hermann
2 Putkaradze, Vakhtang
2 Reghiş, Mircea
2 Rodríguez-Olmos, Miguel
2 Rozanova, Olga S.
2 Shafarevich, Andreĭ Igorevich
2 Shkoller, Steve
2 Simo, Juan Carlos
2 Tarama, Daisuke
2 Vialard, François-Xavier
1 Abarbanel, Henry D. I.
1 Albu, Adrian C.
1 Aragón, Alejandro M.
1 Bernard, Peter S.
1 Blankenstein, Guido
1 Bruveris, Martins
1 Burghelea, Dan
1 Caşu, Ioan
1 Chang, Dong Eui
1 Chechkina, Tatiana P.
1 Chen, Xin
1 Chorin, Alexandre Joel
1 Dellnitz, Michael
1 Fassò, Francesco
1 Fernandes, Rui Loja
1 Filatova, T. A.
1 García Pérez, Pedro L.
1 Golubitsky, Martin A.
1 Gotay, Mark J.
1 Gualtieri, Marco
1 Guha, Partha
1 Hilgert, Joachim
1 Hochgerner, Simon
1 Hoppe, Jens
1 Hounkonnou, Mahouton Norbert
1 Huebschmann, Johannes
1 Isenberg, Jim
1 Jacobs, Henry O.
1 Jiang, Kai
1 Keyfitz, Barbara Lee
1 Kobayashi, Toshiyuki
1 Kobilarov, Marin
...and 46 more Co-Authors
all top 5

Serials

11 Doklady Mathematics
10 Communications in Mathematical Physics
7 Nonlinearity
7 Journal of Geometry and Physics
7 Physica D
6 Letters in Mathematical Physics
6 Journal of Nonlinear Science
5 Transactions of the American Mathematical Society
4 Archive for Rational Mechanics and Analysis
4 Differential Geometry and its Applications
4 The Journal of Symplectic Geometry
4 Journal of Geometric Mechanics
3 Journal of Mathematical Physics
3 Reports on Mathematical Physics
3 Advances in Mathematics
3 American Journal of Mathematics
3 Journal of Differential Equations
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Advances in Applied Mathematics
3 Oberwolfach Reports
3 Monografii Matematice (Timișoara)
2 Analele Universității din Timișoara. Științe Matematice
2 Annales de l’Institut Fourier
2 Geometriae Dedicata
2 Inventiones Mathematicae
2 Annals of Global Analysis and Geometry
2 IMRN. International Mathematics Research Notices
2 Geometric and Functional Analysis. GAFA
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Journal of Lie Theory
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Communications in Mathematical Sciences
2 Dynamics of Partial Differential Equations
2 Fields Institute Communications
2 Lecture Notes in Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Progress in Mathematics
2 Séminaire de Mathématiques Supérieures. Séminaire Scientifique OTAN (NATO Advanced Study Institute)
2 Texts in Applied Mathematics
2 Journal of Physics A: Mathematical and Theoretical
1 Applicable Analysis
1 Classical and Quantum Gravity
1 Computer Methods in Applied Mechanics and Engineering
1 Physics Letters. A
1 Physics Reports
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Mathematische Zeitschrift
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. Ser. A
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Control and Optimization
1 Libertas Mathematica
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of the American Mathematical Society
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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 Russian Journal of Mathematical Physics
1 Mathematical Research Letters
1 Sbornik: Mathematics
1 Transformation Groups
1 Mathematics and Mechanics of Solids
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Mathematical Fluid Mechanics
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Moscow Mathematical Journal
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Analysis and Applications (Singapore)
1 International Journal of Geometric Methods in Modern Physics
1 Chebyshevskiĭ Sbornik
1 Applied Mathematical Sciences
1 London Mathematical Society Lecture Note Series
1 Mathematical Sciences Research Institute Publications
1 Geometry and Topology Monographs
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

210 Publications have been cited 5,289 times in 3,383 Documents Cited by Year
Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003
Marsden, Jerrold E.; Ratiu, Tudor S.
629
1999
Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002
Abraham, R.; Marsden, J. E.; Ratiu, T.
592
1988
The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020
Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
374
1998
Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002
Marsden, Jerrold E.; Ratiu, Tudor S.
301
1994
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
276
1985
Momentum maps and Hamiltonian reduction. Zbl 1241.53069
Ortega, Juan-Pablo; Ratiu, Tudor S.
170
2004
Reduction of Poisson manifolds. Zbl 0602.58016
Marsden, Jerrold E.; Ratiu, Tudor
119
1986
Manifolds, tensor analysis, and applications. Zbl 0508.58001
Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor
118
1983
Semidirect products and reduction in mechanics. Zbl 0529.58011
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
117
1984
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
105
2007
Reduction, symmetry, and phases in mechanics. Zbl 0713.58052
Marsden, J. E.; Montgomery, R.; Ratiu, T.
91
1990
Lagrangian reduction by stages. Zbl 1193.37072
Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S.
89
2001
The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S.
69
1996
Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\). Zbl 0643.35098
Flaschka, H.; Newell, A. C.; Ratiu, T.
57
1983
The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044
Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T.
56
1986
The motion of the free \(n\)-dimensional rigid body. Zbl 0432.70011
Ratiu, Tudor
49
1980
Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043
Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen
46
2000
Completely integrable gradient flows. Zbl 0766.58027
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
45
1992
The second-grade fluid and averaged Euler equations with Navier-slip boundary conditions. Zbl 1026.76004
Busuioc, Adriana Valentina; Ratiu, Tudor S.
44
2003
The geometric structure of complex fluids. Zbl 1161.37052
Gay-Balmaz, François; Ratiu, Tudor S.
43
2009
Dissipation induced instabilities. Zbl 0834.58025
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S.
39
1994
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
39
2012
Banach Lie-Poisson spaces and reduction. Zbl 1044.53057
Odzijewicz, Anatol; Ratiu, Tudor S.
38
2003
Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314
Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S.
34
2003
Geometric mechanics, Lagrangian reduction, and nonholonomic systems. Zbl 1021.37001
Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S.
34
2001
Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. Zbl 0546.58025
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
34
1984
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
33
1986
Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Zbl 0577.58013
Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G.
33
1983
The geometry and analysis of the averaged Euler equations and a new diffeomorphism group. Zbl 0979.58004
Marsden, J. E.; Ratiu, T. S.; Shkoller, S.
32
2000
Euler-Poincaré reduction on principal bundles. Zbl 1020.58018
Castrillón López, M.; García Pérez, P. L.; Ratiu, T. S.
31
2001
Reduction in principal bundles: covariant Lagrange-Poincaré equations. Zbl 1037.53056
Castrillón López, M.; Ratiu, T. S.
31
2003
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
31
2010
The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations. Zbl 0611.70015
Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
30
1986
Gauged Lie-Poisson structures. Zbl 0546.58026
Montgomery, Richard; Marsden, Jerrold; Ratiu, Tudor
29
1984
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Reduction in principal fiber bundles: Covariant Euler-Poincaré equations. Zbl 0967.53019
Castrillón López, Marco; Ratiu, Tudor S.; Shkoller, Steve
27
2000
Lagrangian reduction, the Euler-Poincaré equations, and semidirect products. Zbl 0989.37052
Cendra, Hernán; Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
27
1998
Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. Zbl 0509.58026
Ratiu, Tudor
27
1982
A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra. Zbl 0715.58004
Bloch, A. M.; Flaschka, H.; Ratiu, T.
26
1990
Stability of Hamiltonian relative equilibria. Zbl 0984.37063
Ortega, Juan-Pablo; Ratiu, Tudor S.
25
1999
The differentiable structure of three remarkable diffeomorphism groups. Zbl 0451.58011
Ratiu, Tudor; Schmid, Rudolf
25
1981
The heavy top: A geometric treatment. Zbl 0753.70004
Lewis, Debra; Ratiu, T.; Simo, J. C.; Marsden, J. E.
24
1992
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
24
2011
Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S.
23
2012
Stability and bifurcation of a rotating planar liquid drop. Zbl 0651.76021
Lewis, Debra; Marsden, Jerrold Eldon; Ratiu, Tudor Stefan
22
1987
The tropical momentum map: a classification of toric log symplectic manifolds. Zbl 1442.53057
Gualtieri, Marco; Li, Songhao; Pelayo, Álvaro; Ratiu, Tudor S.
22
2017
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits. Zbl 1120.22007
Beltiţă, Daniel; Ratiu, Tudor S.; Tumpach, Alice Barbara
22
2007
The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation. Zbl 1320.32018
Gay-Balmaz, François; Ratiu, Tudor S.
22
2015
The momentum map in Poisson geometry. Zbl 1180.53083
Fernandes, Rui Loja; Ortega, Juan-Pablo; Ratiu, Tudor S.
21
2009
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
21
2012
A crash course in geometric mechanics. (Notes of the courses given by Tudor Ratiu). Zbl 1159.70001
Ratiu, T. S.; Tudoran, R.; Sbano, L.; Sousa Dias, E.; Terra, G.
21
2005
A convexity theorem for Poisson actions of compact Lie groups. Zbl 0877.58025
Flaschka, Hermann; Ratiu, Tudor
20
1996
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
20
2011
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
19
2011
The C. Neumann problem as a completely integrable system on an adjoint orbit. Zbl 0475.58006
Ratiu, Tudor
19
1981
Discrete variational Lie group formulation of geometrically exact beam dynamics. Zbl 1315.53090
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S.; Weinand, Y.
19
2015
Symplectic connections and the linearisation of Hamiltonian systems. Zbl 0795.58018
Marsden, J. E.; Ratiu, T.; Raugel, G.
18
1991
A new Lagrangian dynamic reduction in field theory. Zbl 1404.58029
Gay-Balmaz, François; Ratiu, Tudor S.
18
2010
Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\). Zbl 1473.70029
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S.
18
2014
Singular reduction of implicit Hamiltonian systems. Zbl 1065.37040
Blankenstein, Guido; Ratiu, Tudor S.
17
2004
The Lagrange rigid body motion. Zbl 0466.58020
Ratiu, Tudor; van Moerbeke, P.
17
1982
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map. Zbl 0715.58033
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
17
1990
The affine invariant of proper semitoric integrable systems. Zbl 1392.37046
Pelayo, Álvaro; Ratiu, Tudor S.; Ngọc, San Vu
16
2017
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
16
2018
Singular reduction of Poisson manifolds. Zbl 0989.37070
Ortega, Juan-Pablo; Ratiu, Tudor S.
16
1998
Rotating \(n\)-gon/\(kn\)-gon vortex configurations. Zbl 0869.76012
Lewis, Debra; Ratiu, T.
16
1996
On the nonlinear convexity theorem of Kostant. Zbl 0785.22019
Lu, Jiang-Hua; Ratiu, Tudor
14
1991
A symplectic slice theorem. Zbl 1072.53541
Ortega, Juan-Pablo; Ratiu, Tudor S.
14
2002
Symplectic reduction for semidirect products and central extensions. Zbl 0973.53069
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S.
14
1998
Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry. Zbl 0955.37032
Ortega, Juan-Pablo; Ratiu, Tudor S.
14
1999
Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. Zbl 0459.70007
Ratiu, Tudor
14
1981
The diameter of the symplectomorphism group is infinite. Zbl 0725.58006
Eliashberg, Yakov; Ratiu, Tudor
14
1991
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus. Zbl 0806.22012
Bloch, A. M.; Flaschka, H.; Ratiu, T.
12
1993
On the geometry of the Virasoro-Bott group. Zbl 0945.58005
Michor, P. W.; Ratiu, T. S.
12
1998
Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\). Zbl 0643.35099
Flaschka, H.; Newell, A. C.; Ratiu, T.
12
1983
Asymptotic and Lyapunov stability of constrained and Poisson equilibria. Zbl 1066.37017
Ortega, Juan-Pablo; Planas-Bielsa, Víctor; Ratiu, Tudor S.
12
2005
Involution theorems. Zbl 0435.58014
Ratiu, Tudor
12
1980
A Lie group structure for pseudodifferential operators. Zbl 0587.58047
Adams, Malcolm; Ratiu, Tudor; Schmid, Rudolf
12
1986
Dirac structures, nonholonomic systems and reduction. Zbl 1247.53096
Jotz, Madeleine; Ratiu, T. S.
12
2012
Symplectic leaves in real Banach Lie-Poisson spaces. Zbl 1083.58011
Beltiţă, D.; Ratiu, T. S.
11
2005
Equivalent theories of liquid crystal dynamics. Zbl 1361.76005
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
11
2013
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics. (Mathematical Seminar held at the University of Montréal, Canada, July 29 - August 16, 1985). Zbl 0594.00020
Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
11
1986
Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005
Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat
11
2012
Geometric representation theory for unitary groups of operator algebras. Zbl 1108.22008
Beltiţă, Daniel; Ratiu, Tudor S.
11
2007
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
11
1984
Singular reduction of Dirac structures. Zbl 1385.70039
Jotz, M.; Ratiu, T. S.; Śniatycki, J.
11
2011
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. Zbl 1149.70015
Gay-Balmaz, François; Ratiu, Tudor S.
11
2008
Nematodynamics and random homogenization. Zbl 1349.76017
Chechkin, Gregory A.; Chechkina, Tatiana P.; Ratiu, Tudor S.; Romanov, Maksim S.
10
2016
Multisymplectic variational integrators and space/time symplecticity. Zbl 1338.65271
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
9
2016
The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein. Zbl 1062.53002
9
2005
The optimal momentum map. Zbl 1015.53053
Ortega, Juan-Pablo; Ratiu, Tudor S.
9
2002
The symmetric representation of the rigid body equations and their discretization. Zbl 1064.70004
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Ratiu, Tudor S.
9
2002
The Lie group structure of diffeomorphism groups and invertible Fourier integral operators, with applications. Zbl 0617.58004
Adams, Malcolm; Ratiu, Tudor; Schmid, Rudolf
9
1985
A Lie group structure for Fourier integral operators. Zbl 0619.58010
Adams, Malcolm; Ratiu, Tudor; Schmid, Rudolf
9
1986
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2009
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2013
Hamiltonian and Feynman aspects of secondary quantization. Zbl 1312.81143
Ratiu, T. S.; Smolyanov, O. G.
9
2013
Fiber connectivity and bifurcation diagrams of almost toric integrable systems. Zbl 1335.37042
Pelayo, Álvaro; Ratiu, Tudor S.; San Vũ Ngọc
9
2015
Extensions of Banach Lie-Poisson spaces. Zbl 1067.53065
Odzijewicz, Anatol; Ratiu, Tudor S.
8
2004
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems. Zbl 1295.81097
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
8
2014
Stochastic variational principles for dissipative equations with advected quantities. Zbl 1524.76329
Chen, Xin; Cruzeiro, Ana Bela; Ratiu, Tudor S.
6
2023
Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. Zbl 1526.37002
Ratiu, Tudor S.; Wacheux, Christophe; Zung, Nguyen Tien
3
2023
Integrable systems in planar robotics. Zbl 1462.37068
Ratiu, Tudor Stefan; Zung, Nguyen Tien
1
2020
Quantum anomalies via differential properties of Lebesgue-Feynman generalized measures. Zbl 1453.81031
Gough, John E.; Ratiu, Tudor S.; Smolyanov, Oleg G.
1
2020
Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type. Zbl 1460.53074
Ratiu, Tudor S.; Tarama, Daisuke
1
2020
Presymplectic convexity and (ir)rational polytopes. Zbl 1462.53067
Ratiu, Tudor; Nguyen, Tien Zung
7
2019
Preface. Zbl 1490.00063
1
2019
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
16
2018
The tropical momentum map: a classification of toric log symplectic manifolds. Zbl 1442.53057
Gualtieri, Marco; Li, Songhao; Pelayo, Álvaro; Ratiu, Tudor S.
22
2017
The affine invariant of proper semitoric integrable systems. Zbl 1392.37046
Pelayo, Álvaro; Ratiu, Tudor S.; Ngọc, San Vu
16
2017
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
4
2017
A multisymplectic integrator for elastodynamic frictionless impact problems. Zbl 1439.74234
Demoures, François; Gay-Balmaz, François; Desbrun, Mathieu; Ratiu, Tudor S.; Aragón, Alejandro M.
3
2017
Existence and uniqueness theorems for the full three-dimensional Ericksen-Leslie system. Zbl 1362.76004
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
2
2017
Noether theorems and quantum anomalies. Zbl 1366.81260
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
2
2017
Coadjoint orbits in duals of Lie algebras with admissible ideals. Zbl 1402.53064
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
1
2017
Nematodynamics and random homogenization. Zbl 1349.76017
Chechkin, Gregory A.; Chechkina, Tatiana P.; Ratiu, Tudor S.; Romanov, Maksim S.
10
2016
Multisymplectic variational integrators and space/time symplecticity. Zbl 1338.65271
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
9
2016
Multisymplectic variational integrators for nonsmooth Lagrangian continuum mechanics. Zbl 1416.65512
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
6
2016
Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties. Zbl 1420.17026
Hounkonnou, Mahouton Norbert; Guha, Partha; Ratiu, Tudor
4
2016
Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system. Zbl 1346.76010
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
4
2016
The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation. Zbl 1320.32018
Gay-Balmaz, François; Ratiu, Tudor S.
22
2015
Discrete variational Lie group formulation of geometrically exact beam dynamics. Zbl 1315.53090
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S.; Weinand, Y.
19
2015
Fiber connectivity and bifurcation diagrams of almost toric integrable systems. Zbl 1335.37042
Pelayo, Álvaro; Ratiu, Tudor S.; San Vũ Ngọc
9
2015
Geometry of non-holonomic diffusion. Zbl 1317.37064
Hochgerner, Simon; Ratiu, Tudor S.
8
2015
Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures. Zbl 1341.81038
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
5
2015
Bi-Jacobi fields and Riemannian cubics for left-invariant \(\mathrm{SO}(3)\). Zbl 1330.70063
Noakes, Lyle; Ratiu, Tudor S.
4
2015
Noether’s theorem for dissipative quantum dynamical semi-groups. Zbl 1311.81161
Gough, John E.; Ratiu, Tudor S.; Smolyanov, Oleg G.
4
2015
Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation. Zbl 1330.82055
Ratiu, T. S.; Romanov, M. S.; Samokhin, V. N.; Chechkin, G. A.
3
2015
Wigner measures and quantum control. Zbl 1321.81030
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
3
2015
Lagrangian reductions and integrable systems in condensed matter. Zbl 1311.53067
Gay-Balmaz, François; Monastyrsky, Michael; Ratiu, Tudor S.
3
2015
The \(U(n)\) free rigid body: integrability and stability analysis of the equilibria. Zbl 1378.70005
Ratiu, Tudor S.; Tarama, Daisuke
2
2015
Integrable systems of Neumann type. Zbl 1338.37071
Dobrogowska, Alina; Ratiu, Tudor S.
1
2015
\(L^2\)-cohomology and complete Hamiltonian manifolds. Zbl 1304.53086
Mazzeo, Rafe; Pelayo, Álvaro; Ratiu, Tudor S.
1
2015
Hamiltonian structures in the quantum theory of Hamilton-Dirac systems. Zbl 1337.81086
Ratiu, T. S.; Smolyanov, O. G.
1
2015
Wigner quantization of Hamilton-Dirac systems. Zbl 1337.81082
Ratiu, T. S.; Smolyanov, O. G.
1
2015
Geometry, mechanics, and dynamics. The legacy of Jerry Marsden. Selected papers presented at a focus program, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 2012. Zbl 1317.53004
1
2015
Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\). Zbl 1473.70029
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S.
18
2014
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems. Zbl 1295.81097
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
8
2014
Moduli spaces of toric manifolds. Zbl 1298.53088
Pelayo, Á.; Pires, A. R.; Ratiu, T. S.; Sabatini, S.
8
2014
Integrable \(G\)-strands on semisimple Lie groups. Zbl 1298.22012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
1
2014
Equivalent theories of liquid crystal dynamics. Zbl 1361.76005
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
11
2013
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2013
Hamiltonian and Feynman aspects of secondary quantization. Zbl 1312.81143
Ratiu, T. S.; Smolyanov, O. G.
9
2013
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems. Zbl 1321.37054
Bloch, Anthony M.; Morrison, Philip J.; Ratiu, Tudor S.
8
2013
Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle. Zbl 1268.76003
Linkevich, A. Yu.; Ratiu, T. S.; Spiridonov, S. V.; Chechkin, G. A.
7
2013
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. Zbl 1292.81063
Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I.
6
2013
Dirac optimal reduction. Zbl 1275.37028
Jotz, M. M.; Ratiu, T. S.
4
2013
On the coupling between an ideal fluid and immersed particles. Zbl 1302.76007
Jacobs, Henry O.; Ratiu, Tudor S.; Desbrun, Mathieu
2
2013
Extensions of Lie-Rinehart algebras and cotangent bundle reduction. Zbl 1304.53083
Huebschmann, J.; Perlmutter, M.; Ratiu, T. S.
2
2013
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189
1
2013
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
39
2012
Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S.
23
2012
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
21
2012
Dirac structures, nonholonomic systems and reduction. Zbl 1247.53096
Jotz, Madeleine; Ratiu, T. S.
12
2012
Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005
Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat
11
2012
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution. Zbl 1266.58015
Ratiu, T.; Filatova, T. A.; Shafarevich, A. I.
7
2012
Invariant frames for vector bundles and applications. Zbl 1319.70018
Jotz, M.; Ratiu, T. S.; Zambon, M.
5
2012
Euler-Poincaré approaches to nematodynamics. Zbl 1278.82062
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
5
2012
Exact geometric theory of dendronized polymer dynamics. Zbl 1257.82113
Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
4
2012
Circle-valued momentum maps for symplectic periodic flows. Zbl 1269.53078
Pelayo, Álvaro; Ratiu, Tudor S.
4
2012
Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density. Zbl 1264.82148
Romanov, M. C.; Ratiu, T. S.; Chechkin, G. A.
4
2012
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
24
2011
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
20
2011
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
19
2011
Singular reduction of Dirac structures. Zbl 1385.70039
Jotz, M.; Ratiu, T. S.; Śniatycki, J.
11
2011
Geometry of nonabelian charged fluids. Zbl 1229.37098
Gay-Balmaz, François; Ratiu, Tudor S.
5
2011
Induced Dirac structures on isotropy-type manifolds. Zbl 1271.70033
Jotz, M.; Ratiu, T. S.
4
2011
Coadjoint orbits and the beginnings of a geometric representation theory. Zbl 1223.22019
Ratiu, Tudor S.
3
2011
Invariant generators for generalized distributions. Zbl 1273.70034
Jotz, Madeleine; Ratiu, Tudor S.
1
2011
Lectures on Poisson geometry. Based on a summer school, Trieste, Italy, July 4–22, 2005. Zbl 1214.53009
1
2011
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
31
2010
A new Lagrangian dynamic reduction in field theory. Zbl 1404.58029
Gay-Balmaz, François; Ratiu, Tudor S.
18
2010
The geometric structure of complex fluids. Zbl 1161.37052
Gay-Balmaz, François; Ratiu, Tudor S.
43
2009
The momentum map in Poisson geometry. Zbl 1180.53083
Fernandes, Rui Loja; Ortega, Juan-Pablo; Ratiu, Tudor S.
21
2009
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2009
Openness and convexity for momentum maps. Zbl 1163.53053
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
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
Poisson reduction by distributions. Zbl 1204.53071
Jotz, Madeleine; Ratiu, Tudor S.
2
2009
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. Zbl 1149.70015
Gay-Balmaz, François; Ratiu, Tudor S.
11
2008
A local-to-global principle for convexity in metric spaces. Zbl 1148.53030
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
5
2008
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids. Zbl 1143.76061
Gay-Balmaz, François; Ratiu, Tudor S.
5
2008
Induced and coinduced Banach Lie-Poisson spaces and integrability. Zbl 1157.53044
Odzijewicz, Anatol; Ratiu, Tudor S.
4
2008
Induction for weak symplectic Banach manifolds. Zbl 1145.53061
Odzijewicz, Anatol; Ratiu, Tudor S.
3
2008
Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations. Zbl 1151.37057
Gay-Balmaz, François; Ratiu, Tudor S.
1
2008
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
105
2007
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits. Zbl 1120.22007
Beltiţă, Daniel; Ratiu, Tudor S.; Tumpach, Alice Barbara
22
2007
Geometric representation theory for unitary groups of operator algebras. Zbl 1108.22008
Beltiţă, Daniel; Ratiu, Tudor S.
11
2007
Group actions on chains of Banach manifolds and applications to fluid dynamics. Zbl 1122.58006
Gay-Balmaz, François; Ratiu, Tudor S.
3
2007
The stratified spaces of a symplectic Lie group action. Zbl 1121.37040
Ortega, Juan-Pablo; Ratiu, Tudor S.
5
2006
The reduced spaces of a symplectic Lie group action. Zbl 1102.53059
Ortega, Juan-Pablo; Ratiu, Tudor S.
5
2006
On the symmetry breaking phenomenon. Zbl 1095.70008
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan Micu
1
2006
A crash course in geometric mechanics. (Notes of the courses given by Tudor Ratiu). Zbl 1159.70001
Ratiu, T. S.; Tudoran, R.; Sbano, L.; Sousa Dias, E.; Terra, G.
21
2005
Asymptotic and Lyapunov stability of constrained and Poisson equilibria. Zbl 1066.37017
Ortega, Juan-Pablo; Planas-Bielsa, Víctor; Ratiu, Tudor S.
12
2005
Symplectic leaves in real Banach Lie-Poisson spaces. Zbl 1083.58011
Beltiţă, D.; Ratiu, T. S.
11
2005
The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein. Zbl 1062.53002
9
2005
The Lie-Poisson structure of the LAE-\(\alpha\) equation. Zbl 1099.35096
Gay-Balmaz, François; Ratiu, Tudor S.
5
2005
Geometric mechanics and symmetry; the Peyresq lectures. Lecture notes from the European Summer Schools in Geometric Mechanics held in Peyresq, 2000/2001. Zbl 1137.70001
4
2005
The universal covering and covered spaces of a symplectic Lie algebra action. Zbl 1079.53131
Ortega, Juan-Pablo; Ratiu, Tudor S.
1
2005
Symmetry breaking for toral actions in simple mechanical systems. Zbl 1222.70023
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan
1
2005
...and 110 more Documents
all top 5

Cited by 3,573 Authors

103 Holm, Darryl Dallas
97 Ratiu, Tudor Stefan
75 Marsden, Jerrold Eldon
62 Gay-Balmaz, François
48 Bloch, Anthony Michael
28 Martín de Diego, David
24 Esen, Oğul
24 Tronci, Cesare
22 Leok, Melvin
22 Tudoran, Răzvan Micu
20 Colombo, Leonardo Jesus
19 García-Naranjo, Luis C.
19 Guha, Partha
19 Putkaradze, Vakhtang
18 de León Rodríguez, Manuel
18 Marrero, Juan Carlos
18 Ortega, Juan-Pablo
17 Grmela, Miroslav
17 Modin, Klas
16 Castrillón López, Marco
16 Miranda, Eva
16 Ohsawa, Tomoki
16 Pelayo, Alvaro
16 Smolyanov, Oleg Georgievich
15 Beltiţă, Daniel
15 Birtea, Petre
14 Cotter, Colin John
14 Mestdag, Tom
14 Vizman, Cornelia
13 Fehér, László Gy.
13 Hernández-Bermejo, Benito
13 Krishnaprasad, P.s.
13 McLachlan, Robert I.
13 Montaldi, James A.
13 Yoshimura, Hiroaki
12 Cendra, Hernán
12 Chechkin, Gregory Aleksandrovich
12 Ferrer, Sebastián
12 Gümral, Hasan
12 Pavelka, Michal
12 Pedroni, Marco
12 Simo, Juan Carlos
12 Vorob’ev, Yu. M.
12 Zenkov, Dmitry V.
11 Arnaudon, Alexis
11 Crespo, Francisco
11 Grillo, Sergio Daniel
11 Odzijewicz, Anatol
11 Shashikanth, Banavara N.
11 Śniatycki, Jędrzej
11 Svendsen, Bob
11 Zuccalli, Marcela
10 de Lucas, Javier
10 Desbrun, Mathieu
10 Kupershmidt, Boris A.
10 Leonard, Naomi Ehrich
10 Llibre, Jaume
10 Mardare, Cristinel
10 Marmo, Giuseppe
10 Morrison, Philip J.
10 Ober-Blöbaum, Sina
10 Rudolph, Gerd
10 Vialard, François-Xavier
9 Andruchow, Esteban
9 Avendaño-Camacho, Misael
9 Balseiro, Paula
9 Bauer, Martin
9 Bogoyavlenskij, Oleg Igorevich
9 Falqui, Gregorio
9 Fassò, Francesco
9 Jotz Lean, Madeleine
9 Kirillov, Oleg N.
9 Lăzureanu, Cristian
9 Leyendecker, Sigrid
9 Morosi, Carlo
9 Owren, Brynjulf
9 Preston, Stephen C.
9 Puta, Mircea
9 Titi, Edriss Saleh
9 Younes, Laurent
8 Adams, Malcolm R.
8 Barretta, Raffaele
8 Bullo, Francesco
8 Celledoni, Elena
8 Ciarlet, Philippe Gaston
8 Cipriano, Fernanda
8 Crisan, Dan O.
8 Dullin, Holger R.
8 García-Toraño Andrés, Eduardo
8 Grabowski, Janusz
8 Helmke, Uwe R.
8 Ibort, Alberto
8 Ivanov, Rossen I.
8 Lewis, Andrew D.
8 Lewis, Debra
8 Misiołek, Gerard
8 Oliver, Marcel
8 Patrick, George W.
8 Romano, Giovanni P.
8 Shepherd, Theodore G.
...and 3,473 more Authors
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Cited in 457 Serials

178 Journal of Geometry and Physics
152 Journal of Mathematical Physics
146 Physica D
101 Journal of Nonlinear Science
78 Journal of Geometric Mechanics
71 Communications in Mathematical Physics
68 Journal of Differential Equations
62 Reports on Mathematical Physics
59 Physics Letters. A
59 International Journal of Geometric Methods in Modern Physics
53 Journal of Mathematical Analysis and Applications
50 Differential Geometry and its Applications
44 Regular and Chaotic Dynamics
42 Letters in Mathematical Physics
41 Journal of Physics A: Mathematical and Theoretical
37 Nonlinearity
36 Journal of Fluid Mechanics
35 Archive for Rational Mechanics and Analysis
35 Computer Methods in Applied Mechanics and Engineering
34 Journal of Computational Physics
33 Transactions of the American Mathematical Society
31 Journal of Functional Analysis
29 Acta Mechanica
29 Systems & Control Letters
29 Acta Applicandae Mathematicae
27 Annals of Physics
26 Advances in Mathematics
25 Foundations of Computational Mathematics
24 Annals of Global Analysis and Geometry
24 Physics of Fluids
24 Nonlinear Dynamics
22 Automatica
22 Journal of Computational and Applied Mathematics
22 Doklady Mathematics
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Discrete and Continuous Dynamical Systems
19 Theoretical and Mathematical Physics
19 Linear Algebra and its Applications
17 Reviews in Mathematical Physics
17 Proceedings of the American Mathematical Society
17 Journal of Nonlinear Mathematical Physics
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Computers & Mathematics with Applications
15 The Journal of Geometric Analysis
15 Journal of Mathematical Sciences (New York)
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Journal of Statistical Physics
14 Mathematische Annalen
14 Calculus of Variations and Partial Differential Equations
14 Russian Journal of Mathematical Physics
14 Multibody System Dynamics
14 Journal of High Energy Physics
13 Nuclear Physics. B
13 Physica A
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Applied Numerical Mathematics
13 Applied Mathematics Letters
13 MCSS. Mathematics of Control, Signals, and Systems
13 Indagationes Mathematicae. New Series
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Annales de l’Institut Fourier
12 Mathematische Zeitschrift
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
11 International Journal of Theoretical Physics
11 Chaos, Solitons and Fractals
11 Applied Mathematics and Computation
11 Journal of Dynamics and Differential Equations
11 Continuum Mechanics and Thermodynamics
11 Chaos
11 Journal of Computational Dynamics
10 BIT
10 Stochastic Processes and their Applications
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Journal of Mathematical Fluid Mechanics
10 Communications in Nonlinear Science and Numerical Simulation
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Foundations of Physics
10 Analysis and Mathematical Physics
9 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
9 SIAM Journal on Control and Optimization
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Celestial Mechanics and Dynamical Astronomy
9 Journal of Mathematical Imaging and Vision
9 Annales Henri Poincaré
9 Nonlinear Analysis. Real World Applications
9 Proceedings of the Steklov Institute of Mathematics
9 Nonlinear Analysis. Theory, Methods & Applications
8 Applicable Analysis
8 Geophysical and Astrophysical Fluid Dynamics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Dynamics and Stability of Systems
8 SIAM Journal on Mathematical Analysis
8 Bulletin of the American Mathematical Society. New Series
8 European Journal of Control
8 Discrete and Continuous Dynamical Systems. Series B
8 SIAM Journal on Applied Dynamical Systems
7 Classical and Quantum Gravity
7 Applied Mathematics and Optimization
...and 357 more Serials
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Cited in 60 Fields

1,078 Dynamical systems and ergodic theory (37-XX)
972 Mechanics of particles and systems (70-XX)
809 Differential geometry (53-XX)
673 Partial differential equations (35-XX)
620 Fluid mechanics (76-XX)
411 Global analysis, analysis on manifolds (58-XX)
298 Numerical analysis (65-XX)
294 Quantum theory (81-XX)
207 Mechanics of deformable solids (74-XX)
206 Ordinary differential equations (34-XX)
178 Systems theory; control (93-XX)
171 Topological groups, Lie groups (22-XX)
152 Nonassociative rings and algebras (17-XX)
150 Calculus of variations and optimal control; optimization (49-XX)
139 Statistical mechanics, structure of matter (82-XX)
109 Probability theory and stochastic processes (60-XX)
94 Operator theory (47-XX)
92 Relativity and gravitational theory (83-XX)
91 Functional analysis (46-XX)
74 Algebraic geometry (14-XX)
68 Manifolds and cell complexes (57-XX)
56 Geophysics (86-XX)
50 Optics, electromagnetic theory (78-XX)
48 Computer science (68-XX)
46 Several complex variables and analytic spaces (32-XX)
40 Linear and multilinear algebra; matrix theory (15-XX)
37 Information and communication theory, circuits (94-XX)
35 Operations research, mathematical programming (90-XX)
35 Biology and other natural sciences (92-XX)
32 Algebraic topology (55-XX)
32 Statistics (62-XX)
27 Classical thermodynamics, heat transfer (80-XX)
26 Functions of a complex variable (30-XX)
20 Real functions (26-XX)
18 Group theory and generalizations (20-XX)
17 Associative rings and algebras (16-XX)
16 Geometry (51-XX)
15 Convex and discrete geometry (52-XX)
15 Astronomy and astrophysics (85-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Combinatorics (05-XX)
11 Category theory; homological algebra (18-XX)
11 Difference and functional equations (39-XX)
10 Special functions (33-XX)
10 General topology (54-XX)
9 Abstract harmonic analysis (43-XX)
8 General and overarching topics; collections (00-XX)
8 Approximations and expansions (41-XX)
7 Commutative algebra (13-XX)
7 Measure and integration (28-XX)
7 Integral equations (45-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 History and biography (01-XX)
5 Mathematical logic and foundations (03-XX)
4 Number theory (11-XX)
3 \(K\)-theory (19-XX)
3 Integral transforms, operational calculus (44-XX)
2 Potential theory (31-XX)
1 Field theory and polynomials (12-XX)
1 Sequences, series, summability (40-XX)

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