## Montgomery, Richard

Compute Distance To:
 Author ID: montgomery.richard Published as: Montgomery, Richard; Montgomery, R. Homepage: https://people.ucsc.edu/~rmont/ External Links: MGP
 Documents Indexed: 80 Publications since 1984, including 3 Books Co-Authors: 71 Co-Authors with 44 Joint Publications 1,967 Co-Co-Authors
all top 5

### Co-Authors

 34 single-authored 6 Ehlers, Kurt M. 6 Koiller, Jair 5 Moeckel, Richard 5 Ratiu, Tudor Stefan 4 Bor, Gil 4 Marsden, Jerrold Eldon 3 Chenciner, Alain 3 Féjoz, Jacques 3 Zhitomirskii, Michail 2 Ribeiro Castro, Alex Lúcio 2 Delgado, Joaquín F. 2 Knauf, Andreas 2 Le Donne, Enrico 1 Almeida, Maria de Fátima L. B. P. 1 Ardentov, Andrei A. 1 Bates, Larry M. 1 Benford, Alistair 1 Bloch, Anthony Michael 1 Bravo-Doddoli, Alejandro 1 Cendra, Hernán 1 Cheng, Jih-Hsin 1 Cherman, Alexandre 1 Chorin, Alexandre Joel 1 Coli, Earnest W. 1 de M. Rios, Pedro 1 Delgado Fernández, Joaquín 1 Dellnitz, Michael 1 Desbrun, Mathieu 1 Diaconis, Persi Warren 1 Duda, Fernando Pereira 1 Duignan, Nathan 1 Dullin, Holger R. 1 Ercolani, Nicholas M. 1 Forest, Mark Gregory 1 Fujiwara, Toshiaki 1 Gerver, Joseph L. 1 Ginzburg, Viktor L’vovich 1 Golubitsky, Martin A. 1 Gotay, Mark J. 1 Holmes, Susan P. 1 Isenberg, Jim 1 Jackman, Connor 1 Kaplan, Samuel R. 1 Kazaryan, Maxim Eduardovich 1 Keyfitz, Barbara Lee 1 Krishnaprasad, P.s. 1 Lerman, Eugene M. 1 Levy, Mark 1 Lewis, Debra 1 Marsden, Alison L. 1 Marugame, Taiji 1 Matveev, Vladimir S. 1 McLaughlin, David W. 1 Ortiz, Michael 1 Ottazzi, Alessandro 1 Pansu, Pierre 1 Raugel, Geneviève 1 Raupp, Marco Antonio 1 Sachkov, Yuriĭ Leonidovich 1 Sánchez-Morgado, Héctor 1 Scheurle, Jürgen 1 Shanbrom, Corey 1 Shapiro, Boris Zalmanovich 1 Shapiro, Michael Z. 1 Simó, Carles 1 Sjamaar, Reyer 1 Stolin, Alexander 1 Stuchi, Teresinha J. 1 Swaminathan, Vidya 1 Venturelli, Andrea 1 Vittone, Davide 1 Weinstein, Alan David 1 Yoshimura, Hiroaki 1 Yu, Guowei
all top 5

### Serials

 8 Nonlinearity 5 Communications in Mathematical Physics 5 Pacific Journal of Mathematics 3 Archive for Rational Mechanics and Analysis 3 Regular and Chaotic Dynamics 2 Memoirs of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Journal of Dynamical and Control Systems 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Differential Equations 1 SIAM Journal on Control and Optimization 1 Physica D 1 MCSS. Mathematics of Control, Signals, and Systems 1 L’Enseignement Mathématique. 2e Série 1 SIAM Review 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Nonlinear Science 1 Combinatorics, Probability and Computing 1 Computational and Applied Mathematics 1 Annals of Mathematics. Second Series 1 Qualitative Theory of Dynamical Systems 1 Miscelánea Matemática 1 Discrete and Continuous Dynamical Systems. Series B 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematical Surveys and Monographs 1 Journal of Fixed Point Theory and Applications
all top 5

### Fields

 40 Mechanics of particles and systems (70-XX) 29 Dynamical systems and ergodic theory (37-XX) 29 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 6 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 1,455 times in 1,109 Documents Cited by Year
A tour of subriemannian geometries, their geodesics and applications. Zbl 1044.53022
Montgomery, Richard
2002
A remarkable periodic solution of the three-body problem in the case of equal masses. Zbl 0987.70009
Chenciner, Alain; Montgomery, Richard
2000
Reduction, symmetry, and phases in mechanics. Zbl 0713.58052
Marsden, J. E.; Montgomery, R.; Ratiu, T.
1990
Abnormal minimizers. Zbl 0816.49019
Montgomery, Richard
1994
Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization. Zbl 1095.70007
Ehlers, Kurt; Koiller, Jair; Montgomery, Richard; Rios, Pedro M.
2005
The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044
Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T.
1986
Isoholonomic problems and some applications. Zbl 0703.53024
Montgomery, R.
1990
Canonical formulations of a classical particle in a Yang-Mills field and Wong’s equations. Zbl 0562.53062
Montgomery, Richard
1984
Hearing the zero locus of a magnetic field. Zbl 0827.58076
Montgomery, Richard
1995
A survey of singular curves in sub-Riemannian geometry. Zbl 0941.53021
Montgomery, R.
1995
Gauged Lie-Poisson structures. Zbl 0546.58026
Montgomery, Richard; Marsden, Jerrold; Ratiu, Tudor
1984
Simple choreographic motions of $$N$$ bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
2002
The $$N$$-body problem, the braid group, and action-minimizing periodic solutions. Zbl 1076.70503
Montgomery, Richard
1998
Geometric approach to Goursat flags. Zbl 1013.58004
Montgomery, Richard; Zhitomirskii, Michail
2001
The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case. Zbl 0689.58043
Montgomery, R.
1988
$$G_2$$ and the rolling distribution. Zbl 1251.70008
Bor, Gil; Montgomery, Richard
2009
Examples of singular reduction. Zbl 0812.58034
Lerman, Eugene; Montgomery, Richard; Sjamaar, Reyer
1993
Problems and progress in microswimming. Zbl 0867.76099
Koiller, J.; Ehlers, K.; Montgomery, R.
1996
Singular extremals on Lie groups. Zbl 0925.93132
Montgomery, Richard
1994
Rotating eights. I: The three $$\Gamma_i$$ families. Zbl 1101.34025
Chenciner, Alain; Féjoz, Jacques; Montgomery, Richard
2005
Gauge theory of the falling cat. Zbl 0787.70020
Montgomery, Richard
1993
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.
1987
Infinitely many syzygies. Zbl 1024.70005
Montgomery, Richard
2002
Sard property for the endpoint map on some Carnot groups. Zbl 1352.53025
Le Donne, Enrico; Montgomery, Richard; Ottazzi, Alessandro; Pansu, Pierre; Vittone, Davide
2016
Dynamical bias in the coin toss. Zbl 05167724
Diaconis, Persi; Holmes, Susan; Montgomery, Richard
2007
Engel deformations and contact structures. Zbl 0961.53043
Montgomery, Richard
1999
Points and curves in the monster tower. Zbl 1187.58006
Montgomery, Richard; Zhitomirskii, Michail
2010
The three-body problem and the shape sphere. Zbl 1370.70034
Montgomery, Richard
2015
Fitting hyperbolic pants to a three-body problem. Zbl 1069.70006
Montgomery, Richard
2005
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Realizing all reduced syzygy sequences in the planar three-body problem. Zbl 1338.70018
Moeckel, Richard; Montgomery, Richard
2015
A nonintegrable sub-Riemannian geodesic flow on a Carnot group. Zbl 0941.53046
Montgomery, R.; Shapiro, M.; Stolin, A.
1997
Closed geodesics on the space of stable two-monopoles. Zbl 0820.53058
Bates, Larry; Montgomery, Richard
1988
$$SO(3)$$ invariant Yang-Mills fields which are not self-dual. Zbl 0776.53018
Bor, Gil; Montgomery, Richard
1990
Geometric quantization and no-go theorems. Zbl 0995.53056
Ginzburg, Viktor L.; Montgomery, Richard
2000
Keplerian dynamics on the Heisenberg group and elsewhere. Zbl 1342.70041
Montgomery, Richard; Shanbrom, Corey
2015
The zero angular momentum, three-body problem: all but one solution has syzygies. Zbl 1128.70005
Montgomery, Richard
2007
Generic distributions and Lie algebras of vector fields. Zbl 0782.58008
Montgomery, Richard
1993
Action spectrum and collisions in the planar three-body problem. Zbl 1151.70315
Montgomery, Richard
2002
Spatial curve singularities and the monster/semple tower. Zbl 1266.58023
Castro, A. L.; Montgomery, R.
2012
No hyperbolic pants for the 4-body problem with strong potential. Zbl 1362.37159
Jackman, Connor; Montgomery, Richard
2016
Heisenberg and isoholonomic inequalities. Zbl 0744.58028
Montgomery, R.
1991
Syzygies in the two center problem. Zbl 1358.37029
Dullin, Holger R.; Montgomery, Richard
2016
The geometric phase of the three-body problem. Zbl 0928.70022
Montgomery, Richard
1996
Low Reynolds number swimming in two dimensions. Zbl 0999.76147
Cherman, Alexandre; Delgado, Joaquín; Duda, Fernando; Ehlers, Kurt; Koiller, Jair; Montgomery, Richard
2000
Cartan-Hannay-Berry phases and symmetry. Zbl 0694.70008
Marsden, J.; Montgomery, R.; Ratiu, T.
1989
Survey of singular geodesics. Zbl 0868.53020
Montgomery, Richard
1996
Lagrangian relations and linear point billiards. Zbl 1375.37114
Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard
2017
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
2018
Optimal control of deformable bodies and its relation to gauge theory. Zbl 0758.53059
Montgomery, R.
1991
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard
2019
Chazy-type asymptotics and hyperbolic scattering for the $$n$$-body problem. Zbl 1464.70007
Duignan, Nathan; Moeckel, Richard; Montgomery, Richard; Yu, Guowei
2020
A new solution to the three-body problem. Zbl 1047.70036
Montgomery, Richard
2001
Characteristic classes for the degenerations of two-plane fields in four dimensions. Zbl 0895.58004
Kazarian, Maxim; Montgomery, Richard; Shapiro, Boris
1997
The chains of left-invariant Cauchy-Riemann structures on $$SU(2)$$. Zbl 1152.32016
Castro, Alex L.; Montgomery, Richard
2008
Symmetric regularization, reduction and blow-up of the planar three-body problem. Zbl 1275.37037
Moeckel, Richard; Montgomery, Richard
2013
Convexity of the figure eight solution to the three-body problem. Zbl 1082.70005
Fujiwara, Toshiaki; Montgomery, Richard
2005
Spectral methods for Stokes flows. Zbl 0916.76053
Koiller, J.; Raupp, M. A.; Delgado, J.; Ehlers, K. M.; Montgomery, R.
1998
Who’s afraid of the Hill boundary? Zbl 1370.37120
Montgomery, Richard
2014
Nonholonomic control and gauge theory. Zbl 0788.70021
Montgomery, Richard
1992
The hyperbolic plane, three-body problems, and Mnëv’s universality theorem. Zbl 1387.70014
Montgomery, Richard
2017
Momentum maps and geometic phases. Zbl 1050.70001
Koiller, Jair; Coli, Earnest W.; Montgomery, Richard; Delgado-Fernández, Joaquín; Ehlers, Kurt; Stüchi, Teresinha J.; Almeida, Maria de Fátima L. B. P.
2002
Introduction to a paper of M. Z. Shapiro: Homotopy theory in control. Zbl 0864.93037
Montgomery, Richard
1996
Minimizers for the Kepler problem. Zbl 1462.70006
Montgomery, Richard
2020
Hamiltonicity in random directed graphs is born resilient. Zbl 1466.05084
Montgomery, Richard
2020
Bicycle paths, elasticae and sub-Riemannian geometry. Zbl 1468.53029
Ardentov, Andrei; Bor, Gil; Le Donne, Enrico; Montgomery, Richard; Sachkov, Yuri
2021
Oscillating about coplanarity in the 4 body problem. Zbl 1435.70031
Montgomery, Richard
2019
Resolving singularities with Cartan’s prolongation. Zbl 1153.14004
Montgomery, Richard; Swaminathan, Vidya; Zhitomirskii, Mikhail
2008
Making the moon reverse its orbit, or, stuttering in the planar three-body problem. Zbl 1147.70006
Kaplan, Samuel R.; Levy, Mark; Montgomery, Richard
2008
Bicycle paths, elasticae and sub-Riemannian geometry. Zbl 1468.53029
Ardentov, Andrei; Bor, Gil; Le Donne, Enrico; Montgomery, Richard; Sachkov, Yuri
2021
Chazy-type asymptotics and hyperbolic scattering for the $$n$$-body problem. Zbl 1464.70007
Duignan, Nathan; Moeckel, Richard; Montgomery, Richard; Yu, Guowei
2020
Minimizers for the Kepler problem. Zbl 1462.70006
Montgomery, Richard
2020
Hamiltonicity in random directed graphs is born resilient. Zbl 1466.05084
Montgomery, Richard
2020
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard
2019
Oscillating about coplanarity in the 4 body problem. Zbl 1435.70031
Montgomery, Richard
2019
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
2018
Lagrangian relations and linear point billiards. Zbl 1375.37114
Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard
2017
The hyperbolic plane, three-body problems, and Mnëv’s universality theorem. Zbl 1387.70014
Montgomery, Richard
2017
Sard property for the endpoint map on some Carnot groups. Zbl 1352.53025
Le Donne, Enrico; Montgomery, Richard; Ottazzi, Alessandro; Pansu, Pierre; Vittone, Davide
2016
No hyperbolic pants for the 4-body problem with strong potential. Zbl 1362.37159
Jackman, Connor; Montgomery, Richard
2016
Syzygies in the two center problem. Zbl 1358.37029
Dullin, Holger R.; Montgomery, Richard
2016
The three-body problem and the shape sphere. Zbl 1370.70034
Montgomery, Richard
2015
Realizing all reduced syzygy sequences in the planar three-body problem. Zbl 1338.70018
Moeckel, Richard; Montgomery, Richard
2015
Keplerian dynamics on the Heisenberg group and elsewhere. Zbl 1342.70041
Montgomery, Richard; Shanbrom, Corey
2015
Who’s afraid of the Hill boundary? Zbl 1370.37120
Montgomery, Richard
2014
Symmetric regularization, reduction and blow-up of the planar three-body problem. Zbl 1275.37037
Moeckel, Richard; Montgomery, Richard
2013
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Spatial curve singularities and the monster/semple tower. Zbl 1266.58023
Castro, A. L.; Montgomery, R.
2012
Points and curves in the monster tower. Zbl 1187.58006
Montgomery, Richard; Zhitomirskii, Michail
2010
$$G_2$$ and the rolling distribution. Zbl 1251.70008
Bor, Gil; Montgomery, Richard
2009
The chains of left-invariant Cauchy-Riemann structures on $$SU(2)$$. Zbl 1152.32016
Castro, Alex L.; Montgomery, Richard
2008
Resolving singularities with Cartan’s prolongation. Zbl 1153.14004
Montgomery, Richard; Swaminathan, Vidya; Zhitomirskii, Mikhail
2008
Making the moon reverse its orbit, or, stuttering in the planar three-body problem. Zbl 1147.70006
Kaplan, Samuel R.; Levy, Mark; Montgomery, Richard
2008
Dynamical bias in the coin toss. Zbl 05167724
Diaconis, Persi; Holmes, Susan; Montgomery, Richard
2007
The zero angular momentum, three-body problem: all but one solution has syzygies. Zbl 1128.70005
Montgomery, Richard
2007
Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization. Zbl 1095.70007
Ehlers, Kurt; Koiller, Jair; Montgomery, Richard; Rios, Pedro M.
2005
Rotating eights. I: The three $$\Gamma_i$$ families. Zbl 1101.34025
Chenciner, Alain; Féjoz, Jacques; Montgomery, Richard
2005
Fitting hyperbolic pants to a three-body problem. Zbl 1069.70006
Montgomery, Richard
2005
Convexity of the figure eight solution to the three-body problem. Zbl 1082.70005
Fujiwara, Toshiaki; Montgomery, Richard
2005
A tour of subriemannian geometries, their geodesics and applications. Zbl 1044.53022
Montgomery, Richard
2002
Simple choreographic motions of $$N$$ bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
2002
Infinitely many syzygies. Zbl 1024.70005
Montgomery, Richard
2002
Action spectrum and collisions in the planar three-body problem. Zbl 1151.70315
Montgomery, Richard
2002
Momentum maps and geometic phases. Zbl 1050.70001
Koiller, Jair; Coli, Earnest W.; Montgomery, Richard; Delgado-Fernández, Joaquín; Ehlers, Kurt; Stüchi, Teresinha J.; Almeida, Maria de Fátima L. B. P.
2002
Geometric approach to Goursat flags. Zbl 1013.58004
Montgomery, Richard; Zhitomirskii, Michail
2001
A new solution to the three-body problem. Zbl 1047.70036
Montgomery, Richard
2001
A remarkable periodic solution of the three-body problem in the case of equal masses. Zbl 0987.70009
Chenciner, Alain; Montgomery, Richard
2000
Geometric quantization and no-go theorems. Zbl 0995.53056
Ginzburg, Viktor L.; Montgomery, Richard
2000
Low Reynolds number swimming in two dimensions. Zbl 0999.76147
Cherman, Alexandre; Delgado, Joaquín; Duda, Fernando; Ehlers, Kurt; Koiller, Jair; Montgomery, Richard
2000
Engel deformations and contact structures. Zbl 0961.53043
Montgomery, Richard
1999
The $$N$$-body problem, the braid group, and action-minimizing periodic solutions. Zbl 1076.70503
Montgomery, Richard
1998
Spectral methods for Stokes flows. Zbl 0916.76053
Koiller, J.; Raupp, M. A.; Delgado, J.; Ehlers, K. M.; Montgomery, R.
1998
A nonintegrable sub-Riemannian geodesic flow on a Carnot group. Zbl 0941.53046
Montgomery, R.; Shapiro, M.; Stolin, A.
1997
Characteristic classes for the degenerations of two-plane fields in four dimensions. Zbl 0895.58004
Kazarian, Maxim; Montgomery, Richard; Shapiro, Boris
1997
Problems and progress in microswimming. Zbl 0867.76099
Koiller, J.; Ehlers, K.; Montgomery, R.
1996
The geometric phase of the three-body problem. Zbl 0928.70022
Montgomery, Richard
1996
Survey of singular geodesics. Zbl 0868.53020
Montgomery, Richard
1996
Introduction to a paper of M. Z. Shapiro: Homotopy theory in control. Zbl 0864.93037
Montgomery, Richard
1996
Hearing the zero locus of a magnetic field. Zbl 0827.58076
Montgomery, Richard
1995
A survey of singular curves in sub-Riemannian geometry. Zbl 0941.53021
Montgomery, R.
1995
Abnormal minimizers. Zbl 0816.49019
Montgomery, Richard
1994
Singular extremals on Lie groups. Zbl 0925.93132
Montgomery, Richard
1994
Examples of singular reduction. Zbl 0812.58034
Lerman, Eugene; Montgomery, Richard; Sjamaar, Reyer
1993
Gauge theory of the falling cat. Zbl 0787.70020
Montgomery, Richard
1993
Generic distributions and Lie algebras of vector fields. Zbl 0782.58008
Montgomery, Richard
1993
Nonholonomic control and gauge theory. Zbl 0788.70021
Montgomery, Richard
1992
Heisenberg and isoholonomic inequalities. Zbl 0744.58028
Montgomery, R.
1991
Optimal control of deformable bodies and its relation to gauge theory. Zbl 0758.53059
Montgomery, R.
1991
Reduction, symmetry, and phases in mechanics. Zbl 0713.58052
Marsden, J. E.; Montgomery, R.; Ratiu, T.
1990
Isoholonomic problems and some applications. Zbl 0703.53024
Montgomery, R.
1990
$$SO(3)$$ invariant Yang-Mills fields which are not self-dual. Zbl 0776.53018
Bor, Gil; Montgomery, Richard
1990
Cartan-Hannay-Berry phases and symmetry. Zbl 0694.70008
Marsden, J.; Montgomery, R.; Ratiu, T.
1989
The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case. Zbl 0689.58043
Montgomery, R.
1988
Closed geodesics on the space of stable two-monopoles. Zbl 0820.53058
Bates, Larry; Montgomery, Richard
1988
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.
1987
The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044
Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T.
1986
Canonical formulations of a classical particle in a Yang-Mills field and Wong’s equations. Zbl 0562.53062
Montgomery, Richard
1984
Gauged Lie-Poisson structures. Zbl 0546.58026
Montgomery, Richard; Marsden, Jerrold; Ratiu, Tudor
1984
all top 5

### Cited by 1,126 Authors

 29 Marsden, Jerrold Eldon 22 Sachkov, Yuriĭ Leonidovich 20 Montgomery, Richard 18 Yan, Duokui 16 Agrachev, Andreĭ Aleksandrovich 14 Helffer, Bernard 13 Le Donne, Enrico 12 Barilari, Davide 12 Boscain, Ugo 12 Ouyang, Tiancheng 11 Citti, Giovanna 11 Mamaev, Ivan Sergeevich 11 Markina, Irina 11 Ratiu, Tudor Stefan 11 Rizzi, Luca 11 Terracini, Susanna 10 García-Naranjo, Luis C. 10 Grong, Erlend 10 Koiller, Jair 10 Trélat, Emmanuel 10 Zhang, Shiqing 9 Borisov, Alekseĭ Vladimirovich 9 Pinamonti, Andrea 9 Tyson, Jeremy T. 8 Avendaño-Camacho, Misael 8 Barutello, Vivina L. 8 Bloch, Anthony Michael 8 Hu, Xijun 8 Monti, Roberto 8 Shashikanth, Banavara N. 8 Vittone, Davide 8 Yu, Guowei 7 Bonnard, Bernard 7 de León Rodríguez, Manuel 7 García-Azpeitia, Carlos 7 Holm, Darryl D. 7 Kilin, Aleksandr Aleksandrovich 7 Mashtakov, Alexey P. 7 Ottazzi, Alessandro 7 Pelletier, Fernand 7 Raymond, Nicolas 7 Shanbrom, Corey 6 Ardentov, Andrei A. 6 Chitour, Yacine 6 Fernandez, Oscar E. 6 Gay-Balmaz, François 6 Gordina, Maria 6 Juillet, Nicolas 6 Kordyukov, Yuri A. 6 Solov’ev, Vladimir O. 6 Speight, Gareth 6 Tronci, Cesare 5 Balseiro, Paula 5 Ribeiro Castro, Alex Lúcio 5 Diacu, Florin Nicolae 5 Dragoni, Federica 5 Ercolani, Nicholas M. 5 Féjoz, Jacques 5 Franchi, Bruno 5 Garofalo, Nicola 5 Godoy Molina, Mauricio 5 Grochowski, Marek 5 Jean, Frédéric 5 Jovanović, Božidar Žarko 5 Karmanova, Maria B. 5 Lee, Paul W. Y. 5 Lewis, Debra 5 Marrero, Juan Carlos 5 Martín de Diego, David 5 McLaughlin, David W. 5 Mestdag, Tom 5 Montefalcone, Francescopaolo 5 Prandi, Dario 5 Rifford, Ludovic 5 Ritoré, Manuel 5 Sachkova, Elena F. 5 Sarti, Alessandro 5 Shibayama, Mitsuru 5 Simmons, Skyler Clayson 5 Stoica, Cristina 5 Uguzzoni, Francesco 5 Venturelli, Andrea 5 Yang, Xiaoping 4 Baldi, Annalisa 4 Berestovskiĭ, Valeriĭ Nikolaevich 4 Biggs, Rory 4 Bizyaev, Ivan Alekseevich 4 Boarotto, Francesco 4 Bonfiglioli, Andrea 4 Bonnefont, Michel 4 Bridges, Thomas J. 4 Calleja, Renato C. 4 Cannarsa, Piermarco 4 Capogna, Luca 4 Cendra, Hernán 4 Chang, Der-Chen E. 4 Chousionis, Vasilis 4 del Pino, Álvaro 4 Deng, Chunhua 4 Doedel, Eusebius J. ...and 1,026 more Authors
all top 5

### Cited in 257 Serials

 53 Journal of Geometry and Physics 42 Regular and Chaotic Dynamics 39 Journal of Mathematical Physics 38 Journal of Dynamical and Control Systems 36 Archive for Rational Mechanics and Analysis 30 Communications in Mathematical Physics 26 Calculus of Variations and Partial Differential Equations 25 Transactions of the American Mathematical Society 25 Physica D 25 Celestial Mechanics and Dynamical Astronomy 23 Journal of Nonlinear Science 21 Differential Geometry and its Applications 20 Journal of Differential Equations 20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Journal of Geometric Mechanics 17 Nonlinearity 17 Advances in Mathematics 16 Journal of Mathematical Sciences (New York) 15 Reports on Mathematical Physics 15 The Journal of Geometric Analysis 14 Journal of Functional Analysis 12 Journal of Mathematical Analysis and Applications 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Discrete and Continuous Dynamical Systems 12 Qualitative Theory of Dynamical Systems 11 Letters in Mathematical Physics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Annales de l’Institut Fourier 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Theoretical and Mathematical Physics 8 Mathematische Annalen 8 Russian Journal of Mathematical Physics 7 Acta Applicandae Mathematicae 7 Doklady Mathematics 7 Analysis and Geometry in Metric Spaces 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Proceedings of the Steklov Institute of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Memoirs of the American Mathematical Society 5 Proceedings of the American Mathematical Society 5 Ergodic Theory and Dynamical Systems 5 Annals of Global Analysis and Geometry 5 Revista Matemática Iberoamericana 5 Geometric and Functional Analysis. GAFA 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Potential Analysis 5 Physics of Fluids 5 Bulletin des Sciences Mathématiques 5 Differential Equations 5 International Journal of Geometric Methods in Modern Physics 5 Analysis and Mathematical Physics 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Modern Physics A 4 Israel Journal of Mathematics 4 Duke Mathematical Journal 4 Communications in Partial Differential Equations 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Imaging and Vision 4 Chaos 4 Advanced Nonlinear Studies 4 Frontiers of Mathematics in China 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Physics Letters. A 3 The Annals of Probability 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Systems & Control Letters 3 Chinese Annals of Mathematics. Series B 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Lie Theory 3 Revista Matemática Complutense 3 SIAM Journal on Applied Dynamical Systems 3 Theoretical and Applied Mechanics 3 Foundations of Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 3 Nelineĭnaya Dinamika 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Theoretical and Computational Fluid Dynamics 2 Acta Mathematica 2 Archiv der Mathematik 2 Automatica 2 Demonstratio Mathematica 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Probability Theory and Related Fields 2 Dynamics and Stability of Systems 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis ...and 157 more Serials
all top 5

### Cited in 58 Fields

 477 Differential geometry (53-XX) 390 Mechanics of particles and systems (70-XX) 269 Dynamical systems and ergodic theory (37-XX) 201 Global analysis, analysis on manifolds (58-XX) 141 Partial differential equations (35-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 85 Quantum theory (81-XX) 84 Fluid mechanics (76-XX) 82 Topological groups, Lie groups (22-XX) 71 Ordinary differential equations (34-XX) 63 Systems theory; control (93-XX) 30 Abstract harmonic analysis (43-XX) 29 Measure and integration (28-XX) 25 Probability theory and stochastic processes (60-XX) 24 Manifolds and cell complexes (57-XX) 24 Mechanics of deformable solids (74-XX) 23 Algebraic geometry (14-XX) 22 Functional analysis (46-XX) 22 Numerical analysis (65-XX) 21 Relativity and gravitational theory (83-XX) 20 Biology and other natural sciences (92-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 15 Operator theory (47-XX) 14 Nonassociative rings and algebras (17-XX) 13 Functions of a complex variable (30-XX) 13 Geometry (51-XX) 10 Group theory and generalizations (20-XX) 10 General topology (54-XX) 10 Algebraic topology (55-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Potential theory (31-XX) 8 Optics, electromagnetic theory (78-XX) 7 Statistics (62-XX) 7 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 6 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Special functions (33-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)