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## Pugh, Charles Chapman

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 Author ID: pugh.charles-chapman Published as: Pugh, Charles; Pugh, Charles C.; Pugh, C. C.; Pugh, C.; Pugh, Charles Chapman External Links: MGP · Wikidata · GND
 Documents Indexed: 79 Publications since 1964, including 4 Books
all top 5

#### Co-Authors

 23 single-authored 27 Shub, Michael 8 Hirsch, Morris W. 5 Wilkinson, Amie 4 Palis, Jacob jun. 3 Peixoto, Mauricio Matos 2 Burns, Keith 2 de Melo, Welington 2 Donnay, Victor J. 2 Grayson, Matthew A. 2 Harrison, Jenny C. 2 Robinson, Clark 1 Adler, Roy Lee 1 Broucke, Mireille E. 1 Cohen, Ezechiel G. D. 1 Ennis, Christopher 1 Forni, Giovanni 1 Françoise, Jean-Pierre 1 Holcman, David 1 Kitchens, Bruce P. 1 Kupka, Ivan A. K. 1 Lins, A. 1 Lyubich, Mikhail Yur’evich 1 Mañé, Ricardo 1 Martens, Marco 1 Norton Kercheval, Alec 1 Peixoto, Maria Lúcia Alvarenga 1 Simić, Slobodan N. 1 Starkov, Alexander S. 1 Sullivan, Dennis Parnell 1 Walker, Russell Bruce 1 Wilson, F. Wesley jun. 1 Wu, Conan
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#### Serials

 6 Journal of Differential Equations 5 Inventiones Mathematicae 5 Ergodic Theory and Dynamical Systems 4 Bulletin of the American Mathematical Society 3 American Journal of Mathematics 3 Michigan Mathematical Journal 3 Transactions of the American Mathematical Society 2 Journal of Statistical Physics 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Topology 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Undergraduate Texts in Mathematics 1 Bulletin of the Australian Mathematical Society 1 Anais da Academia Brasileira de Ciências 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Topology and its Applications 1 Journal of Complexity 1 Applied Mathematics Letters 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Fields Institute Communications 1 Lecture Notes in Mathematics 1 Journal of Modern Dynamics 1 Anais da Academia Brasileira de Ciências
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#### Fields

 51 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Ordinary differential equations (34-XX) 8 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 7 General topology (54-XX) 6 Measure and integration (28-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

72 Publications have been cited 2,043 times in 1,542 Documents Cited by Year
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1977
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Stable manifolds and hyperbolic sets. Zbl 0215.53001
Hirsch, M. W.; Pugh, C. C.
1970
An improved Closing Lemma and a general density theorem. Zbl 0167.21804
Pugh, C. C.
1967
The Closing Lemma. Zbl 0167.21803
Pugh, C. C.
1967
Neighborhoods of hyperbolic sets. Zbl 0191.21701
Hirsch, M.; Palis, J.; Pugh, C.; Shub, M.
1970
Ergodic attractors. Zbl 0684.58008
Pugh, Charles; Shub, Michael
1989
Invariant manifolds. Zbl 0226.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1970
On a theorem of P. Hartman. Zbl 0197.20701
Pugh, C. C.
1969
On Lienard’s equation. Zbl 0362.34022
Lins, A.; de Melo, W.; Pugh, C. C.
1977
The $$\Omega$$-stability theorem for flows. Zbl 0212.29102
Pugh, C.; Shub, M.
1970
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
1997
Stably ergodic dynamical systems and partial hyperbolicity. Zbl 0883.58025
Pugh, Charles; Shub, Michael
1997
Ergodicity of Anosov actions. Zbl 0236.58007
Pugh, Charles; Shub, Michael
1972
Stably ergodic diffeomorphisms. Zbl 0824.58032
Grayson, Matthew; Pugh, Charles; Shub, Michael
1994
Keeping track of limit cycles. Zbl 0602.34019
Francoise, J. P.; Pugh, C. C.
1986
Linearization of normally hyperbolic diffeomorphisms and flows. Zbl 0206.25802
Pugh, C.; Shub, M.
1970
Smoothness of horocycle foliations. Zbl 0312.58008
Hirsch, Morris W.; Pugh, Charles C.
1975
Stable ergodicity and julienne quasi-conformality. Zbl 0964.37017
Pugh, Charles; Shub, Michael
2000
Ergodic elements of ergodic actions. Zbl 0225.28009
Pugh, Charles; Shub, Michael
1971
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
2012
The $$C^{1+\alpha}$$ hypothesis in Pesin theory. Zbl 0542.58027
Pugh, Charles C.
1984
A generalized Poincaré index formula. Zbl 0194.24602
Pugh, C. C.
1968
Funnel sections. Zbl 0327.34007
Pugh, Charles C.
1975
Against the $$C^2$$ closing lemma. Zbl 0309.34043
Pugh, Charles
1975
Stable ergodicity and partial hyperbolicity. Zbl 0867.58049
Pugh, Charles; Shub, Michael
1996
Stable manifolds for hyperbolic sets. Zbl 0199.27103
Hirsch, M. W.; Pugh, C. C.
1969
Fifty problems in dynamical s ystems. Zbl 0304.58011
Palis, J.; Pugh, C. C.
1975
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
2001
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
1975
Structural stability of piecewise smooth systems. Zbl 1121.37307
Broucke, Mireille E.; Pugh, Charles C.; Simić, Slobodan N.
2001
Real mathematical analysis. Zbl 1003.26001
Pugh, Charles Chapman
2002
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
2005
Stable ergodicity. With an appendix by Alexander Starkov. Zbl 1330.37005
Pugh, Charles; Shub, Michael
2004
Periodic points on the $$2$$-sphere. Zbl 1305.37013
Pugh, Charles; Shub, Michael
2014
Anosov geodesic flows for embedded surfaces. Zbl 1054.37009
Donnay, Victor J.; Pugh, Charles C.
2003
Cohomology of chain recurrent sets. Zbl 0643.54039
Hirsch, Morris W.; Pugh, Charles C.
1988
Stable ergodicity and Anosov flows. Zbl 0930.37008
Burns, Keith; Pugh, Charles; Wilkinson, Amie
2000
The $$C^ 1$$ connecting lemma. Zbl 0764.58030
Pugh, Charles C.
1992
Structurally stable systems on open manifolds are never dense. Zbl 0172.24902
Peixoto, Mauricio Matos; Pugh, C. C.
1968
Real mathematical analysis. 2nd ed. Zbl 1329.26003
Pugh, Charles C.
2015
The planar closing lemma for chain recurrence. Zbl 0797.58043
Peixoto, Maria Lucia Alvarenga; Pugh, Charles Chapman
1994
On Morse-Smale approximations - a counterexample. Zbl 0346.58006
Pugh, Charles C.; Walker, Russell B.; Wilson, F. Wesley jun.
1977
Critical sets in the plane. Zbl 0785.58016
Norton, Alec; Pugh, Charles
1991
Smoothing a topological manifold. Zbl 1026.57019
Pugh, Charles C.
2002
Critical sets in 3-space. Zbl 0796.58012
Grayson, Matthew; Pugh, Charles
1993
Stability of endomorphisms. Zbl 0315.58018
Mane, Ricardo; Pugh, Charles
1975
Structural stability on M. Zbl 0171.22102
Pugh, C. C.
1967
Focal stability of Riemann metrics. Zbl 1092.53030
Kupka, Ivan; Peixoto, Mauricio; Pugh, Charles
2006
Cross-sections of solution funnels. Zbl 0125.32201
Pugh, C. C.
1964
On arbitrary sequences of isomorphisms in $$R^m \rightarrow R^m$$. Zbl 0288.15003
Pugh, Charles C.
1974
Suspending subshifts. Zbl 0585.58034
Pugh, Charles C.; Shub, Michael
1981
A fixed-point free ergodic flow on the 3-sphere. Zbl 0687.58035
Harrison, Jenny; Pugh, Charles
1989
Foliations that are not approximable by smoother ones. Zbl 0526.57018
Ennis, Christopher; Hirsch, Morris W.; Pugh, Charles
1983
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
2004
Finite horizon Riemann structures and ergodicity. Zbl 1115.37025
Donnay, Victor J.; Pugh, Charles
2004
The closing lemma and structural stability. Zbl 0125.32301
Pugh, C. C.
1964
Axiom A actions. Zbl 0315.58017
Pugh, Charles; Shub, Michael
1975
The Morse-Sard theorem with mixed differentiability. Zbl 0791.58022
Pugh, Charles C.
1991
Nondifferentiability of invariant foliations. Zbl 0305.58011
Palis, Jacob; Pugh, Charles; Robinson, R. Clark
1975
On the entropy conjecture: a report on conversations among R. Bowen, M. Hirsch, A. Manning, C. Pugh, B. Sanderson, M. Shub and R. Williams. Zbl 0307.58017
Pugh, Charles C.
1975
$$C^r$$ stability of periodic solutions and solution schemes. Zbl 0703.58025
Pugh, Charles; Shub, Michael
1988
Differentiability and continuity of invariant manifolds. Zbl 0476.58017
Pugh, C. C.; Shub, M.
1980
Stable ergodicity and stable accessibility. Zbl 0995.37018
Pugh, Charles; Shub, Michael
1997
The $$C^ 1$$ Brunovsky hypothesis. Zbl 0810.58018
de Melo, Welington; Pugh, Charles
1994
On the validity of the conjugate pairing rule for Lyapunov exponents. Zbl 0948.82024
Bonetto, F.; Cohen, E. G. D.; Pugh, C.
1998
$$C^1$$ immersed hypersurfaces separate $${\mathbb R}^n$$. Zbl 0998.57052
Hirsch, Michael; Pugh, Charles
2001
The boundary between compact and noncompact complete Riemann manifolds. Zbl 1119.53021
Holcman, D.; Pugh, C.
2007
Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms. Zbl 1094.53078
Pugh, Charles; Shub, Michael; Starkov, Alexander
2006
Hilbert’s 16th problem: Limit cycles of polynomial vector fields in the plane. Zbl 0324.58008
Pugh, Charles
1975
On focal stability in dimension two. Zbl 1153.53317
Peixoto, Mauricio M.; Pugh, Charles C.
2007
The $$C^{1,1}$$ conclusions in Gromov’s theory. Zbl 0621.53034
Pugh, Charles C.
1987
Real mathematical analysis. 2nd ed. Zbl 1329.26003
Pugh, Charles C.
2015
Periodic points on the $$2$$-sphere. Zbl 1305.37013
Pugh, Charles; Shub, Michael
2014
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
2012
The boundary between compact and noncompact complete Riemann manifolds. Zbl 1119.53021
Holcman, D.; Pugh, C.
2007
On focal stability in dimension two. Zbl 1153.53317
Peixoto, Mauricio M.; Pugh, Charles C.
2007
Focal stability of Riemann metrics. Zbl 1092.53030
Kupka, Ivan; Peixoto, Mauricio; Pugh, Charles
2006
Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms. Zbl 1094.53078
Pugh, Charles; Shub, Michael; Starkov, Alexander
2006
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
2005
Stable ergodicity. With an appendix by Alexander Starkov. Zbl 1330.37005
Pugh, Charles; Shub, Michael
2004
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
2004
Finite horizon Riemann structures and ergodicity. Zbl 1115.37025
Donnay, Victor J.; Pugh, Charles
2004
Anosov geodesic flows for embedded surfaces. Zbl 1054.37009
Donnay, Victor J.; Pugh, Charles C.
2003
Real mathematical analysis. Zbl 1003.26001
Pugh, Charles Chapman
2002
Smoothing a topological manifold. Zbl 1026.57019
Pugh, Charles C.
2002
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
2001
Structural stability of piecewise smooth systems. Zbl 1121.37307
Broucke, Mireille E.; Pugh, Charles C.; Simić, Slobodan N.
2001
$$C^1$$ immersed hypersurfaces separate $${\mathbb R}^n$$. Zbl 0998.57052
Hirsch, Michael; Pugh, Charles
2001
Stable ergodicity and julienne quasi-conformality. Zbl 0964.37017
Pugh, Charles; Shub, Michael
2000
Stable ergodicity and Anosov flows. Zbl 0930.37008
Burns, Keith; Pugh, Charles; Wilkinson, Amie
2000
On the validity of the conjugate pairing rule for Lyapunov exponents. Zbl 0948.82024
Bonetto, F.; Cohen, E. G. D.; Pugh, C.
1998
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
1997
Stably ergodic dynamical systems and partial hyperbolicity. Zbl 0883.58025
Pugh, Charles; Shub, Michael
1997
Stable ergodicity and stable accessibility. Zbl 0995.37018
Pugh, Charles; Shub, Michael
1997
Stable ergodicity and partial hyperbolicity. Zbl 0867.58049
Pugh, Charles; Shub, Michael
1996
Stably ergodic diffeomorphisms. Zbl 0824.58032
Grayson, Matthew; Pugh, Charles; Shub, Michael
1994
The planar closing lemma for chain recurrence. Zbl 0797.58043
Peixoto, Maria Lucia Alvarenga; Pugh, Charles Chapman
1994
The $$C^ 1$$ Brunovsky hypothesis. Zbl 0810.58018
de Melo, Welington; Pugh, Charles
1994
Critical sets in 3-space. Zbl 0796.58012
Grayson, Matthew; Pugh, Charles
1993
The $$C^ 1$$ connecting lemma. Zbl 0764.58030
Pugh, Charles C.
1992
Critical sets in the plane. Zbl 0785.58016
Norton, Alec; Pugh, Charles
1991
The Morse-Sard theorem with mixed differentiability. Zbl 0791.58022
Pugh, Charles C.
1991
Ergodic attractors. Zbl 0684.58008
Pugh, Charles; Shub, Michael
1989
A fixed-point free ergodic flow on the 3-sphere. Zbl 0687.58035
Harrison, Jenny; Pugh, Charles
1989
Cohomology of chain recurrent sets. Zbl 0643.54039
Hirsch, Morris W.; Pugh, Charles C.
1988
$$C^r$$ stability of periodic solutions and solution schemes. Zbl 0703.58025
Pugh, Charles; Shub, Michael
1988
The $$C^{1,1}$$ conclusions in Gromov’s theory. Zbl 0621.53034
Pugh, Charles C.
1987
Keeping track of limit cycles. Zbl 0602.34019
Francoise, J. P.; Pugh, C. C.
1986
The $$C^{1+\alpha}$$ hypothesis in Pesin theory. Zbl 0542.58027
Pugh, Charles C.
1984
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Foliations that are not approximable by smoother ones. Zbl 0526.57018
Ennis, Christopher; Hirsch, Morris W.; Pugh, Charles
1983
Suspending subshifts. Zbl 0585.58034
Pugh, Charles C.; Shub, Michael
1981
Differentiability and continuity of invariant manifolds. Zbl 0476.58017
Pugh, C. C.; Shub, M.
1980
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1977
On Lienard’s equation. Zbl 0362.34022
Lins, A.; de Melo, W.; Pugh, C. C.
1977
On Morse-Smale approximations - a counterexample. Zbl 0346.58006
Pugh, Charles C.; Walker, Russell B.; Wilson, F. Wesley jun.
1977
Smoothness of horocycle foliations. Zbl 0312.58008
Hirsch, Morris W.; Pugh, Charles C.
1975
Funnel sections. Zbl 0327.34007
Pugh, Charles C.
1975
Against the $$C^2$$ closing lemma. Zbl 0309.34043
Pugh, Charles
1975
Fifty problems in dynamical s ystems. Zbl 0304.58011
Palis, J.; Pugh, C. C.
1975
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
1975
Stability of endomorphisms. Zbl 0315.58018
Mane, Ricardo; Pugh, Charles
1975
Axiom A actions. Zbl 0315.58017
Pugh, Charles; Shub, Michael
1975
Nondifferentiability of invariant foliations. Zbl 0305.58011
Palis, Jacob; Pugh, Charles; Robinson, R. Clark
1975
On the entropy conjecture: a report on conversations among R. Bowen, M. Hirsch, A. Manning, C. Pugh, B. Sanderson, M. Shub and R. Williams. Zbl 0307.58017
Pugh, Charles C.
1975
Hilbert’s 16th problem: Limit cycles of polynomial vector fields in the plane. Zbl 0324.58008
Pugh, Charles
1975
On arbitrary sequences of isomorphisms in $$R^m \rightarrow R^m$$. Zbl 0288.15003
Pugh, Charles C.
1974
Ergodicity of Anosov actions. Zbl 0236.58007
Pugh, Charles; Shub, Michael
1972
Ergodic elements of ergodic actions. Zbl 0225.28009
Pugh, Charles; Shub, Michael
1971
Stable manifolds and hyperbolic sets. Zbl 0215.53001
Hirsch, M. W.; Pugh, C. C.
1970
Neighborhoods of hyperbolic sets. Zbl 0191.21701
Hirsch, M.; Palis, J.; Pugh, C.; Shub, M.
1970
Invariant manifolds. Zbl 0226.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1970
The $$\Omega$$-stability theorem for flows. Zbl 0212.29102
Pugh, C.; Shub, M.
1970
Linearization of normally hyperbolic diffeomorphisms and flows. Zbl 0206.25802
Pugh, C.; Shub, M.
1970
On a theorem of P. Hartman. Zbl 0197.20701
Pugh, C. C.
1969
Stable manifolds for hyperbolic sets. Zbl 0199.27103
Hirsch, M. W.; Pugh, C. C.
1969
A generalized Poincaré index formula. Zbl 0194.24602
Pugh, C. C.
1968
Structurally stable systems on open manifolds are never dense. Zbl 0172.24902
Peixoto, Mauricio Matos; Pugh, C. C.
1968
An improved Closing Lemma and a general density theorem. Zbl 0167.21804
Pugh, C. C.
1967
The Closing Lemma. Zbl 0167.21803
Pugh, C. C.
1967
Structural stability on M. Zbl 0171.22102
Pugh, C. C.
1967
Cross-sections of solution funnels. Zbl 0125.32201
Pugh, C. C.
1964
The closing lemma and structural stability. Zbl 0125.32301
Pugh, C. C.
1964
all top 5

#### Cited by 1,410 Authors

 30 Morales, Carlos Arnoldo 21 de la Llave, Rafael 20 Pugh, Charles Chapman 20 Valls Anglés, Cláudia 19 Barreira, Luis Manuel 19 Bonatti, Christian 18 Bessa, Mário 16 Lu, Kening 16 Shub, Michael 15 Robinson, Clark 14 Zhang, Weinian 13 Gan, Shaobo 13 Llibre, Jaume 12 Crovisier, Sylvain 12 Hirsch, Morris W. 12 Varandas, Paulo 12 Viana, Marcelo 11 Katok, Anatole B. 11 Pochinka, Olga Vital’evna 11 Wen, Lan 11 Young, Lai-Sang 10 Hammerlindl, Andy 10 Pesin, Yakov Borisovich 10 Yang, Jiagang 9 Araújo, Vítor 9 Berger, Pierre 9 Dumortier, Freddy 9 Liu, Weishi 9 Pacifico, Maria José 9 Potrie, Rafael 9 Pujals, Enrique Ramiro 9 Ruelle, David Pierre 9 Sell, George Roger 9 Ures, Raúl 8 Arbieto, Alexander 8 Avila Cordeiro de Melo, Artur 8 Bautista, Serafín 8 Grines, Vyacheslav Zigmundovich 8 Hu, Huyi 8 Li, Ming-Chia 8 Lyubich, Mikhail Yur’evich 8 Rodriguez Hertz, Jana 8 Tahzibi, Ali 8 Wilkinson, Amie 8 Xia, Zhihong 8 Zhuzhoma, Evgeniĭ Viktorovich 7 Bochi, Jairo 7 Bonckaert, Patrick 7 Fontich, Ernest 7 Hurley, Mike 7 Newhouse, Sheldon E. 7 Palis, Jacob jun. 7 Rodriguez-Hertz, Federico 7 M-Seara, Tere 7 Shi, Yi 7 Wiggins, Stephen 6 Arnaud, Marie-Claude 6 Bates, Peter W. 6 Bowen, Rufus 6 Carrasco, Pablo D. 6 Chen, Hebai 6 Chicone, Carmen C. 6 Delshams, Amadeu 6 Dolgopyat, Dmitry 6 Gogolev, Andrey 6 Ilyashenko, Yulij Sergeevich 6 Luzzatto, Stefano 6 Pollicott, Mark 6 Spatzier, Ralf J. 6 Takens, Floris 6 Wen, Xiao 6 Yang, Dawei 6 Zhang, Wenmeng 5 Aulbach, Bernd 5 Benaïm, Michel 5 Cao, Yongluo 5 Damjanović, Danijela 5 Díaz, Lorenzo Justiniano 5 Fan, Meng 5 Fisher, Todd L. 5 Françoise, Jean-Pierre 5 Gaiko, Valery A. 5 Garcia, Ronaldo A. 5 Gelfert, Katrin Grit 5 Gidea, Marian 5 Gonchenko, Sergey V. 5 Gorodetski, Anton 5 Hale, Jack Kenneth 5 Haro, Àlex 5 Hayashi, Shuhei 5 Kalinin, Boris 5 Kifer, Yuri 5 Lee, Manseob 5 Liang, Chao 5 Mañé, Ricardo 5 Marcus, Brian H. 5 Marsden, Jerrold Eldon 5 Medvedev, Vladislav Sergeevich 5 Moriyasu, Kazumine 5 Peralta-Salas, Daniel ...and 1,310 more Authors
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#### Cited in 242 Serials

 170 Journal of Differential Equations 86 Ergodic Theory and Dynamical Systems 79 Transactions of the American Mathematical Society 50 Discrete and Continuous Dynamical Systems 47 Communications in Mathematical Physics 46 Proceedings of the American Mathematical Society 43 Inventiones Mathematicae 39 Physica D 36 Journal of Dynamics and Differential Equations 31 Journal of Mathematical Analysis and Applications 28 Qualitative Theory of Dynamical Systems 26 Israel Journal of Mathematics 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Topology and its Applications 19 Advances in Mathematics 18 Publications Mathématiques 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Nonlinear Analysis. Theory, Methods & Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Nonlinearity 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Mathematische Zeitschrift 14 Bulletin of the American Mathematical Society 13 Annales de l’Institut Fourier 13 Regular and Chaotic Dynamics 13 Journal of Modern Dynamics 12 Chaos, Solitons and Fractals 12 Bulletin of the American Mathematical Society. New Series 12 Dynamical Systems 11 Archive for Rational Mechanics and Analysis 11 Journal of Functional Analysis 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Journal of Mathematical Biology 10 Duke Mathematical Journal 10 Journal of Mathematical Sciences (New York) 10 Acta Mathematica Sinica. English Series 9 Geometriae Dedicata 9 Journal of Nonlinear Science 9 Nonlinear Dynamics 9 Chaos 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Geometric and Functional Analysis. GAFA 8 Boletim da Sociedade Brasileira de Matemática. Nova Série 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of the European Mathematical Society (JEMS) 7 Journal of Statistical Physics 7 Mathematical Notes 7 Mathematische Annalen 7 Annals of Mathematics. Second Series 7 Annales Henri Poincaré 7 Bulletin of the Brazilian Mathematical Society. New Series 6 Boletim da Sociedade Brasileira de Matemática 6 Functional Analysis and its Applications 6 Journal of Economic Theory 6 Nagoya Mathematical Journal 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Celestial Mechanics and Dynamical Astronomy 6 Bulletin des Sciences Mathématiques 6 Journal of Difference Equations and Applications 6 Science China. Mathematics 5 Mathematical Biosciences 5 Rocky Mountain Journal of Mathematics 5 Acta Mathematica 5 Monatshefte für Mathematik 5 Applied Mathematics Letters 5 Journal of the American Mathematical Society 5 Stochastics and Dynamics 5 Proceedings of the Steklov Institute of Mathematics 4 Communications on Pure and Applied Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Mathematical Physics 4 Applied Mathematics and Computation 4 Commentarii Mathematici Helvetici 4 Journal of Computational and Applied Mathematics 4 Manuscripta Mathematica 4 Numerische Mathematik 4 Proceedings of the Japan Academy. Series A 4 Transactions of the Moscow Mathematical Society 4 Science in China. Series A 4 Electronic Research Announcements of the American Mathematical Society 4 Geometry & Topology 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Dynamical and Control Systems 4 Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 3 Computers & Mathematics with Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Soviet Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Complexity 3 Journal of Economic Dynamics & Control 3 The Journal of Geometric Analysis 3 Indagationes Mathematicae. New Series 3 Discrete Dynamics in Nature and Society 3 SIAM Journal on Applied Dynamical Systems 3 Journal of the Institute of Mathematics of Jussieu 3 Journal of Topology and Analysis 2 Bulletin of the Australian Mathematical Society ...and 142 more Serials
all top 5

#### Cited in 58 Fields

 1,149 Dynamical systems and ergodic theory (37-XX) 374 Ordinary differential equations (34-XX) 104 Manifolds and cell complexes (57-XX) 97 Partial differential equations (35-XX) 95 Differential geometry (53-XX) 91 Global analysis, analysis on manifolds (58-XX) 76 Mechanics of particles and systems (70-XX) 53 General topology (54-XX) 52 Biology and other natural sciences (92-XX) 40 Measure and integration (28-XX) 37 Probability theory and stochastic processes (60-XX) 33 Operator theory (47-XX) 33 Numerical analysis (65-XX) 24 Several complex variables and analytic spaces (32-XX) 24 Fluid mechanics (76-XX) 23 Algebraic topology (55-XX) 20 Topological groups, Lie groups (22-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Difference and functional equations (39-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Systems theory; control (93-XX) 13 Algebraic geometry (14-XX) 11 Functions of a complex variable (30-XX) 10 Real functions (26-XX) 10 Functional analysis (46-XX) 10 Quantum theory (81-XX) 8 Relativity and gravitational theory (83-XX) 7 Computer science (68-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 $$K$$-theory (19-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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