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## Robinson, Clark

Compute Distance To:
 Author ID: robinson.clark Published as: Robinson, C.; Robinson, Clark; Robinson, R. C.; Robinson, R. Clark; Robinson, R. Clark. External Links: MGP
 Documents Indexed: 62 Publications since 1970, including 5 Books
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#### Co-Authors

 45 single-authored 4 Gidea, Marian 3 Murdock, James A. 2 Patterson, Sam 2 Pugh, Charles Chapman 2 Williams, Robert F. 1 Chenciner, Alain 1 Cushman, Richard H. 1 Franks, John M. 1 Palis, Jacob jun. 1 Saari, Donald Gene 1 Xia, Zhihong Jeff 1 Young, Lai-Sang
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#### Serials

 6 Journal of Differential Equations 5 Ergodic Theory and Dynamical Systems 4 SIAM Journal on Mathematical Analysis 3 American Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Nonlinearity 2 Boletim da Sociedade Brasileira de Matemática 2 Proceedings of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Qualitative Theory of Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 IEEE Transactions on Circuits and Systems 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Topology 1 Celestial Mechanics 1 Contemporary Mathematics 1 Pure and Applied Undergraduate Texts 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 53 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 13 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 1,384 times in 1,226 Documents Cited by Year
Dynamical systems. Stability, symbolic dynamics, and chaos. 2nd corr. and enlarged ed. Zbl 0914.58021
Robinson, Clark
1999
Dynamical systems. Stability, symbolic dynamics, and chaos. Zbl 0853.58001
Robinson, Clark
1995
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Stability theorems and hyperbolicity in dynamical systems. Zbl 0375.58016
Robinson, Clark
1977
Structural stability of $$C^1$$ diffeomorphisms. Zbl 0343.58009
Robinson, Clark
1976
An introduction to dynamical systems. Continuous and discrete. Zbl 1073.37001
Robinson, R. Clark
2004
Generic properties of conservative systems. Zbl 0212.56502
Robinson, R. C.
1970
Bifurcation to infinitely many sinks. Zbl 0531.58035
Robinson, Clark
1983
Homoclinic bifurcation to a transitive attractor of Lorenz type. Zbl 0704.58031
Robinson, Clark
1989
A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008
Franks, John; Robinson, Clark
1976
Sustained resonance for a nonlinear system with slowly varying coefficients. Zbl 0523.34035
Robinson, Clark
1983
Structural stability of vector fields. Zbl 0275.58012
Robinson, Clark
1974
Horseshoes for autonomous Hamiltonian systems using the Melnikov integral. Zbl 0666.58039
Robinson, Clark
1988
Homoclinic bifurcation to a transitive attractor of Lorenz type. II. Zbl 0758.58028
Robinson, Clark
1992
Closing stable and unstable manifolds on the two sphere. Zbl 0275.58013
Robinson, Clark
1973
An introduction to dynamical systems. Continuous and discrete. 2nd revised ed. Zbl 1277.37001
Robinson, R. Clark
2012
Generic properties of conservative systems. II. Zbl 0212.56601
Robinson, R. C.
1970
Homoclinic orbits and oscillation for the planar three-body problem. Zbl 0495.70025
Robinson, Clark
1984
Nonabsolutely continuous foliations for an Anosov diffeomorphism. Zbl 0442.58022
Robinson, Clark; Young, Lai-Sang
1980
Topologically crossing heteroclinic connections to invariant tori. Zbl 1037.37010
Gidea, Marian; Robinson, Clark
2003
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
1976
Nonsymmetric Lorenz attractors from a homoclinic bifurcation. Zbl 0978.37013
Robinson, Clark
2000
Qualitative dynamics from asymptotic expansions: Local theory. Zbl 0413.34057
Murdock, James; Robinson, Clark
1980
Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability. Zbl 1116.37041
Gidea, Marian; Robinson, Clark
2007
Structural stability on manifolds with boundary. Zbl 0441.58010
Robinson, Clark
1980
$$N$$-body spatial parabolic orbits asymptotic to collinear central configurations. Zbl 0493.70020
Robinson, Clark; Saari, Donald G.
1983
Symbolic dynamics for transition tori. Zbl 1151.37323
Robinson, Clark
2002
Transitivity and invariant measures for the geometric model of the Lorenz equations. Zbl 0558.28011
Robinson, Clark
1984
Differentiability of the stable foliation for the model Lorenz equations. Zbl 0485.58012
Robinson, Clark
1981
A global approximation theorem for Hamiltonian systems. Zbl 0217.20703
Robinson, R. C.
1970
Obstruction argument for transition chains of tori interspersed with gaps. Zbl 1175.37063
Gidea, Marian; Robinson, Clark
2009
Second-order averaging of forced and coupled nonlinear oscillators. Zbl 0528.34042
Robinson, Clark
1983
C$$^r$$ structural stability implies Kupka-Smale. Zbl 0275.58014
Robinson, R. Clark
1973
Differentiable conjugacy near compact invariant manifolds. Zbl 0355.58008
Robinson, Clark
1971
Diffusion along transition chains of invariant tori and Aubry-Mather sets. Zbl 1333.37088
Gidea, Marian; Robinson, Clark
2013
What is a chaotic attractor? Zbl 1175.37039
Robinson, Clark
2008
Some mathematical aspects of spin-orbit resonance. II. Zbl 0482.70007
Robinson, Clark; Murdock, James
1981
A quasi-Anosov flow that is not Anosov. Zbl 0338.58015
Robinson, Clark
1976
The geometry of the structural stability proof using unstable disks. Zbl 0407.58028
Robinson, Clark
1975
Topological decoupling near planar parabolic orbits. Zbl 1371.70038
Robinson, Clark
2015
Uniform subharmonic orbits for Sitnikov problem. Zbl 1165.70011
Robinson, Clark
2008
A note on the asymptotic expansion of eigenvalues. Zbl 0453.15004
Murdock, James; Robinson, Clark
1980
Global structural stability of a saddle node bifurcation. Zbl 0406.58022
Robinson, Clark
1978
Nondifferentiability of invariant foliations. Zbl 0305.58011
Palis, Jacob; Pugh, Charles; Robinson, R. Clark
1975
Errata to ’Structural stability of vector fields’. Zbl 0295.58008
Robinson, Clark
1975
Generic one parameter families of symplectic matrices. Zbl 0216.13101
Robinson, R. C.
1971
Introduction to the Closing Lemma. Zbl 0403.58020
Robinson, Clark
1978
Structural stability theorems. Zbl 0329.58011
Robinson, R. Clark
1976
Structural stability of $$C^1$$ flows. Zbl 0307.58012
Robinson, R. Clark
1975
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
1973
Topological decoupling near planar parabolic orbits. Zbl 1371.70038
Robinson, Clark
2015
Diffusion along transition chains of invariant tori and Aubry-Mather sets. Zbl 1333.37088
Gidea, Marian; Robinson, Clark
2013
An introduction to dynamical systems. Continuous and discrete. 2nd revised ed. Zbl 1277.37001
Robinson, R. Clark
2012
Obstruction argument for transition chains of tori interspersed with gaps. Zbl 1175.37063
Gidea, Marian; Robinson, Clark
2009
What is a chaotic attractor? Zbl 1175.37039
Robinson, Clark
2008
Uniform subharmonic orbits for Sitnikov problem. Zbl 1165.70011
Robinson, Clark
2008
Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability. Zbl 1116.37041
Gidea, Marian; Robinson, Clark
2007
An introduction to dynamical systems. Continuous and discrete. Zbl 1073.37001
Robinson, R. Clark
2004
Topologically crossing heteroclinic connections to invariant tori. Zbl 1037.37010
Gidea, Marian; Robinson, Clark
2003
Symbolic dynamics for transition tori. Zbl 1151.37323
Robinson, Clark
2002
Nonsymmetric Lorenz attractors from a homoclinic bifurcation. Zbl 0978.37013
Robinson, Clark
2000
Dynamical systems. Stability, symbolic dynamics, and chaos. 2nd corr. and enlarged ed. Zbl 0914.58021
Robinson, Clark
1999
Dynamical systems. Stability, symbolic dynamics, and chaos. Zbl 0853.58001
Robinson, Clark
1995
Homoclinic bifurcation to a transitive attractor of Lorenz type. II. Zbl 0758.58028
Robinson, Clark
1992
Homoclinic bifurcation to a transitive attractor of Lorenz type. Zbl 0704.58031
Robinson, Clark
1989
Horseshoes for autonomous Hamiltonian systems using the Melnikov integral. Zbl 0666.58039
Robinson, Clark
1988
Homoclinic orbits and oscillation for the planar three-body problem. Zbl 0495.70025
Robinson, Clark
1984
Transitivity and invariant measures for the geometric model of the Lorenz equations. Zbl 0558.28011
Robinson, Clark
1984
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Bifurcation to infinitely many sinks. Zbl 0531.58035
Robinson, Clark
1983
Sustained resonance for a nonlinear system with slowly varying coefficients. Zbl 0523.34035
Robinson, Clark
1983
$$N$$-body spatial parabolic orbits asymptotic to collinear central configurations. Zbl 0493.70020
Robinson, Clark; Saari, Donald G.
1983
Second-order averaging of forced and coupled nonlinear oscillators. Zbl 0528.34042
Robinson, Clark
1983
Differentiability of the stable foliation for the model Lorenz equations. Zbl 0485.58012
Robinson, Clark
1981
Some mathematical aspects of spin-orbit resonance. II. Zbl 0482.70007
Robinson, Clark; Murdock, James
1981
Nonabsolutely continuous foliations for an Anosov diffeomorphism. Zbl 0442.58022
Robinson, Clark; Young, Lai-Sang
1980
Qualitative dynamics from asymptotic expansions: Local theory. Zbl 0413.34057
Murdock, James; Robinson, Clark
1980
Structural stability on manifolds with boundary. Zbl 0441.58010
Robinson, Clark
1980
A note on the asymptotic expansion of eigenvalues. Zbl 0453.15004
Murdock, James; Robinson, Clark
1980
Global structural stability of a saddle node bifurcation. Zbl 0406.58022
Robinson, Clark
1978
Introduction to the Closing Lemma. Zbl 0403.58020
Robinson, Clark
1978
Stability theorems and hyperbolicity in dynamical systems. Zbl 0375.58016
Robinson, Clark
1977
Structural stability of $$C^1$$ diffeomorphisms. Zbl 0343.58009
Robinson, Clark
1976
A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008
Franks, John; Robinson, Clark
1976
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
1976
A quasi-Anosov flow that is not Anosov. Zbl 0338.58015
Robinson, Clark
1976
Structural stability theorems. Zbl 0329.58011
Robinson, R. Clark
1976
The geometry of the structural stability proof using unstable disks. Zbl 0407.58028
Robinson, Clark
1975
Nondifferentiability of invariant foliations. Zbl 0305.58011
Palis, Jacob; Pugh, Charles; Robinson, R. Clark
1975
Errata to ’Structural stability of vector fields’. Zbl 0295.58008
Robinson, Clark
1975
Structural stability of $$C^1$$ flows. Zbl 0307.58012
Robinson, R. Clark
1975
Structural stability of vector fields. Zbl 0275.58012
Robinson, Clark
1974
Closing stable and unstable manifolds on the two sphere. Zbl 0275.58013
Robinson, Clark
1973
C$$^r$$ structural stability implies Kupka-Smale. Zbl 0275.58014
Robinson, R. Clark
1973
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
1973
Differentiable conjugacy near compact invariant manifolds. Zbl 0355.58008
Robinson, Clark
1971
Generic one parameter families of symplectic matrices. Zbl 0216.13101
Robinson, R. C.
1971
Generic properties of conservative systems. Zbl 0212.56502
Robinson, R. C.
1970
Generic properties of conservative systems. II. Zbl 0212.56601
Robinson, R. C.
1970
A global approximation theorem for Hamiltonian systems. Zbl 0217.20703
Robinson, R. C.
1970
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#### Cited by 1,414 Authors

 29 Shi, Yuming 26 Lee, Manseob 25 Yang, Xiaosong 20 Bessa, Mário 20 Li, Ming-Chia 18 Grines, Vyacheslav Zigmundovich 15 Pochinka, Olga Vital’evna 15 Robinson, Clark 15 Zhuzhoma, Evgeniĭ Viktorovich 13 Sakai, Kazuhiro 13 Zhang, Xu 12 Chen, Guanrong 12 Medvedev, Vladislav Sergeevich 11 Gidea, Marian 11 Li, Qingdu 10 Akhmet, Marat Ubaydulla 10 Bollt, Erik M. 10 Xia, Zhihong 10 Yorke, James Alan 9 Artigue, Alfonso 9 Huang, Yan 9 Lee, Keonhee 9 Moriyasu, Kazumine 8 Delshams, Amadeu 8 Din, Qamar 8 Huang, Yu 8 Llibre, Jaume 8 Morales, Carlos Arnoldo 8 Rocha, Jorge 8 Shao, Hua 8 Simpson, David John Warwick 8 Yang, Xiaofan 7 Araújo, Vítor 7 Arnaud, Marie-Claude 7 Chen, Yi-Chiuan 7 Colonius, Fritz 7 Cordero, Alicia 7 Kokubu, Hiroshi 7 Kulenović, Mustafa R. S. 7 Li, Zongcheng 7 Sumi, Naoya 7 Takens, Floris 7 Tikhomirov, Sergey B. 7 Torregrosa Sanchez, Juan Ramón 7 Turaev, Dmitry V. 7 Wang, Yangeng 7 Wei, Guo 7 Wen, Lan 7 Yang, Luxing 6 Arbieto, Alexander 6 Berger, Pierre 6 Bonatti, Christian 6 Crovisier, Sylvain 6 de la Llave, Rafael 6 Gan, Shaobo 6 Gedeon, Tomáš 6 Hayashi, Shuhei 6 Hurley, Mike 6 Juang, Jonq 6 Kaper, Tasso J. 6 Kliemann, Wolfgang H. 6 Palis, Jacob jun. 6 Pilyugin, Sergei Yu. 6 Varandas, Paulo 6 Zhu, Hao 5 Alligood, Kathleen T. 5 Blackmore, Denis L. 5 Chen, Goong 5 Fen, Mehmet Onur 5 Garay, Barnabas M. 5 Good, Chris 5 Lin, Wei 5 Lyu, Ming-Jiea 5 Matsue, Kaname 5 Mischaikow, Konstantin 5 Moeckel, Richard 5 Palmer, Kenneth James 5 Selgrade, James F. 5 Shilnikov, Leonid Pavlovich 5 Vieitez, José L. 5 Yuan, Quan 4 Abu-Saris, Raghib M. 4 Asaoka, Masayuki 4 Broer, Henk W. 4 Chen, Hung-Ju 4 Chen, Yuming 4 Fisher, Todd L. 4 Galias, Zbigniew 4 Gan, Chenquan 4 García Guirao, Juan Luis 4 Gonchenko, Marina S. 4 Gonchenko, Sergey V. 4 He, Zhimin 4 Homburg, Ale Jan 4 Kifer, Yuri 4 Kolesov, Andreĭ Yur’evich 4 Laudenbach, François 4 Li, Bo 4 Li, Liangliang 4 Mañé, Ricardo ...and 1,314 more Authors
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#### Cited in 236 Serials

 95 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 75 Journal of Differential Equations 50 Chaos, Solitons and Fractals 49 Physica D 47 Ergodic Theory and Dynamical Systems 38 Transactions of the American Mathematical Society 32 Journal of Difference Equations and Applications 30 Proceedings of the American Mathematical Society 28 Chaos 25 Journal of Mathematical Analysis and Applications 25 Journal of Dynamics and Differential Equations 23 Topology and its Applications 22 Discrete and Continuous Dynamical Systems 22 Advances in Difference Equations 20 Applied Mathematics and Computation 19 Communications in Mathematical Physics 19 Qualitative Theory of Dynamical Systems 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Nonlinear Dynamics 15 Discrete Dynamics in Nature and Society 13 Communications in Nonlinear Science and Numerical Simulation 13 Dynamical Systems 11 Journal of Computational and Applied Mathematics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Nonlinearity 10 Inventiones Mathematicae 10 Journal of Nonlinear Science 9 Journal of Mathematical Sciences (New York) 9 Proceedings of the Steklov Institute of Mathematics 8 Mathematical Notes 8 Rocky Mountain Journal of Mathematics 8 Journal of Dynamical and Control Systems 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Mathematical Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematische Zeitschrift 7 Bulletin of the American Mathematical Society. New Series 7 Regular and Chaotic Dynamics 7 Differential Equations 7 Nonlinear Analysis. Real World Applications 6 Advances in Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 5 Mathematical Biosciences 5 Bulletin of Mathematical Biology 5 Duke Mathematical Journal 5 Journal of Economic Theory 5 Mathematische Annalen 5 Nagoya Mathematical Journal 5 Systems & Control Letters 5 Applied Mathematical Modelling 5 Celestial Mechanics and Dynamical Astronomy 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Acta Mathematica Sinica. English Series 5 SIAM Journal on Applied Dynamical Systems 4 Bulletin of the Australian Mathematical Society 4 Journal of Fluid Mechanics 4 Journal of the Franklin Institute 4 Physica A 4 Physics Letters. A 4 Publications Mathématiques 4 Chinese Annals of Mathematics. Series B 4 Journal of Economic Dynamics & Control 4 The Journal of Geometric Analysis 4 Journal of Mathematical Chemistry 4 Abstract and Applied Analysis 4 Annales Henri Poincaré 4 Discrete and Continuous Dynamical Systems. Series B 4 Bulletin of the Brazilian Mathematical Society. New Series 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Journal d’Analyse Mathématique 3 Journal of Statistical Physics 3 Studies in Applied Mathematics 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Geometric and Functional Analysis. GAFA 3 Celestial Mechanics 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 Journal of Dynamical Systems and Geometric Theories 3 Journal of Theoretical Biology 3 Axioms 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Biology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 The Mathematical Intelligencer 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Automatica 2 Boletim da Sociedade Brasileira de Matemática 2 Fuzzy Sets and Systems 2 Journal of Functional Analysis 2 Journal of Mathematical Economics 2 Monatshefte für Mathematik 2 Proceedings of the Japan Academy. Series A 2 Theoretical Computer Science ...and 136 more Serials
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#### Cited in 50 Fields

 951 Dynamical systems and ergodic theory (37-XX) 252 Ordinary differential equations (34-XX) 117 Biology and other natural sciences (92-XX) 83 Mechanics of particles and systems (70-XX) 73 Difference and functional equations (39-XX) 56 General topology (54-XX) 52 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 50 Systems theory; control (93-XX) 37 Differential geometry (53-XX) 36 Manifolds and cell complexes (57-XX) 30 Computer science (68-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Global analysis, analysis on manifolds (58-XX) 23 Fluid mechanics (76-XX) 18 Measure and integration (28-XX) 16 Probability theory and stochastic processes (60-XX) 14 Information and communication theory, circuits (94-XX) 13 Operations research, mathematical programming (90-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Combinatorics (05-XX) 10 Operator theory (47-XX) 8 Algebraic topology (55-XX) 8 Optics, electromagnetic theory (78-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Real functions (26-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Group theory and generalizations (20-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Relativity and gravitational theory (83-XX) 4 Mathematical logic and foundations (03-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of deformable solids (74-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX)