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## Newhouse, Sheldon E.

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 Author ID: newhouse.sheldon-e Published as: Newhouse, Sheldon E.; Newhouse, Sheldon; Newhouse, S.; Newhouse, S. E. External Links: MGP · Wikidata · GND
 Documents Indexed: 51 Publications since 1970, including 2 Books
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#### Co-Authors

 31 single-authored 5 Palis, Jacob jun. 3 Jakobson, Michael 3 Takens, Floris 2 Berz, Martin 2 Grote, Johannes 2 Makino, Kyoko 1 Cheng, Wenchiao 1 Downarowicz, Tomasz 1 Guckenheimer, John M. 1 Kifer, Yuri 1 Ledrappier, François 1 Lewowicz, Jorge 1 Marcus, Brian H. 1 Moser, Jürgen K. 1 Peixoto, Mauricio Matos 1 Pignataro, Thea 1 Ruelle, David Pierre 1 Wittig, Alexander 1 Young, Laisang
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#### Serials

 3 Ergodic Theory and Dynamical Systems 2 American Journal of Mathematics 2 Publications Mathématiques 2 Annals of Mathematics. Second Series 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Regular and Chaotic Dynamics 1 Bulletin of the American Mathematical Society 1 Progress in Mathematics
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#### Fields

 48 Dynamical systems and ergodic theory (37-XX) 5 Ordinary differential equations (34-XX) 5 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 1,191 times in 913 Documents Cited by Year
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms. Zbl 0445.58022
Newhouse, Sheldon E.
1979
Diffeomorphisms with infinitely many sinks. Zbl 0275.58016
Newhouse, Sheldon E.
1974
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
1983
Occurrence of strange Axiom A attractors near quasi periodic flows on $$T^m$$, $$m\geq 3$$. Zbl 0396.58029
Newhouse, S.; Ruelle, D.; Takens, F.
1978
Continuity properties of entropy. Zbl 0676.58039
Newhouse, Sheldon E.
1989
Quasi-elliptic periodic points in conservative dynamical systems. Zbl 0379.58011
Newhouse, Sheldon E.
1977
On codimension one Anosov diffeomorphisms. Zbl 0204.56901
Newhouse, S. E.
1970
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
1988
Hyperbolic limit sets. Zbl 0239.58009
Newhouse, Sheldon E.
1972
Cycles and bifurcation theory. Zbl 0322.58009
Newhouse, S.; Palis, J.
1976
Symbolic extensions and smooth dynamical systems. Zbl 1067.37018
Downarowicz, Tomasz; Newhouse, Sheldon
2005
Lectures on dynamical systems. Zbl 0444.58001
Newhouse, Sheldon E.
1980
Bifurcations of Morse-Smale dynamical systems. Zbl 0279.58011
Newhouse, S.; Palis, J.
1973
On the estimation of topological entropy. Zbl 1101.37302
Newhouse, Sheldon; Pignataro, Thea
1993
There is a simple arc joining any two Morse-Smale flows. Zbl 0324.58012
Newhouse, S.; Peixoto, Mauricio Matos
1976
Pre-image entropy. Zbl 1098.37012
Cheng, Wen-Chiao; Newhouse, Sheldon E.
2005
Nondensity of axiom $$A(a)$$ on $$S^ 2$$. Zbl 0206.25801
Newhouse, S. E.
1970
Hyperbolic nonwandering sets on two-dimensional manifolds. Zbl 0279.58010
Newhouse, S.; Palis, J.
1973
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
1976
Rigorous and accurate enclosure of invariant manifolds on surfaces. Zbl 1203.37030
Wittig, A.; Berz, M.; Grote, J.; Makino, K.; Newhouse, S.
2010
Cone-fields, domination, and hyperbolicity. Zbl 1147.37322
Newhouse, Sheldon
2004
On the estimation of topological entropy on surfaces. Zbl 1154.37009
Newhouse, S.; Berz, M.; Makino, K.; Grote, J.
2008
Topological entropy and Hausdorff dimension for area preserving diffeomorphisms of surfaces. Zbl 0376.58010
Newhouse, S. E.
1978
Asymptotic measures for hyperbolic piecewise smooth mappings of a rectangle. Zbl 1044.37016
Jakobson, Michael; Newhouse, Sheldon
2000
Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978. Zbl 0431.00016
Guckenheimer, John; Moser, Jürgen; Newhouse, Sheldon E.
1980
Probabilistic ideas in smooth dynamical systems. Zbl 0561.58025
Newhouse, S. E.
1984
A two-dimensional version of the Folklore theorem. Zbl 0847.58056
Jakobson, Michael; Newhouse, Sheldon
1996
A global volume lemma and applications. Zbl 0752.58027
Kifer, Yuri; Newhouse, Sheldon E.
1991
Measures of maximal entropy for a class of skew products. Zbl 0429.28020
Marcus, Brian; Newhouse, Sheldon
1979
Entropy in smooth dynamical systems. Zbl 0745.54005
Newhouse, Sheldon E.
1991
Corrections to “Continuity properties of entropy”. Zbl 0693.58009
Newhouse, Sheldon E.
1990
Dynamics of certain skew products. Zbl 0535.58036
Newhouse, Sheldon E.; Young, Laisang
1983
Generic properties of conservative systems. Zbl 0559.58018
Newhouse, S. E.
1983
On simple arcs between structurally stable flows. Zbl 0307.58011
Newhouse, S.
1975
On a differentiable linearization theorem of Philip Hartman. Zbl 1391.37025
Newhouse, Sheldon E.
2017
New phenomena associated with homoclinic tangencies. Zbl 1087.37036
Newhouse, Sheldon E.
2004
On homoclinic points. Zbl 0344.58015
Newhouse, S.
1977
Asymptotic behavior and homoclinic points in nonlinear systems. Zbl 0467.58020
Newhouse, S. E.
1980
Dynamical properties of certain non-commutative skew-products. Zbl 0477.58019
Newhouse, S. E.
1980
Entropy and smooth dynamics. Zbl 0524.58043
Newhouse, S. E.
1983
Simple arcs and stable dynamical systems. Zbl 0307.58010
Newhouse, S.
1975
On a differentiable linearization theorem of Philip Hartman. Zbl 1391.37025
Newhouse, Sheldon E.
2017
Rigorous and accurate enclosure of invariant manifolds on surfaces. Zbl 1203.37030
Wittig, A.; Berz, M.; Grote, J.; Makino, K.; Newhouse, S.
2010
On the estimation of topological entropy on surfaces. Zbl 1154.37009
Newhouse, S.; Berz, M.; Makino, K.; Grote, J.
2008
Symbolic extensions and smooth dynamical systems. Zbl 1067.37018
Downarowicz, Tomasz; Newhouse, Sheldon
2005
Pre-image entropy. Zbl 1098.37012
Cheng, Wen-Chiao; Newhouse, Sheldon E.
2005
Cone-fields, domination, and hyperbolicity. Zbl 1147.37322
Newhouse, Sheldon
2004
New phenomena associated with homoclinic tangencies. Zbl 1087.37036
Newhouse, Sheldon E.
2004
Asymptotic measures for hyperbolic piecewise smooth mappings of a rectangle. Zbl 1044.37016
Jakobson, Michael; Newhouse, Sheldon
2000
A two-dimensional version of the Folklore theorem. Zbl 0847.58056
Jakobson, Michael; Newhouse, Sheldon
1996
On the estimation of topological entropy. Zbl 1101.37302
Newhouse, Sheldon; Pignataro, Thea
1993
A global volume lemma and applications. Zbl 0752.58027
Kifer, Yuri; Newhouse, Sheldon E.
1991
Entropy in smooth dynamical systems. Zbl 0745.54005
Newhouse, Sheldon E.
1991
Corrections to “Continuity properties of entropy”. Zbl 0693.58009
Newhouse, Sheldon E.
1990
Continuity properties of entropy. Zbl 0676.58039
Newhouse, Sheldon E.
1989
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
1988
Probabilistic ideas in smooth dynamical systems. Zbl 0561.58025
Newhouse, S. E.
1984
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
1983
Dynamics of certain skew products. Zbl 0535.58036
Newhouse, Sheldon E.; Young, Laisang
1983
Generic properties of conservative systems. Zbl 0559.58018
Newhouse, S. E.
1983
Entropy and smooth dynamics. Zbl 0524.58043
Newhouse, S. E.
1983
Lectures on dynamical systems. Zbl 0444.58001
Newhouse, Sheldon E.
1980
Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978. Zbl 0431.00016
Guckenheimer, John; Moser, Jürgen; Newhouse, Sheldon E.
1980
Asymptotic behavior and homoclinic points in nonlinear systems. Zbl 0467.58020
Newhouse, S. E.
1980
Dynamical properties of certain non-commutative skew-products. Zbl 0477.58019
Newhouse, S. E.
1980
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms. Zbl 0445.58022
Newhouse, Sheldon E.
1979
Measures of maximal entropy for a class of skew products. Zbl 0429.28020
Marcus, Brian; Newhouse, Sheldon
1979
Occurrence of strange Axiom A attractors near quasi periodic flows on $$T^m$$, $$m\geq 3$$. Zbl 0396.58029
Newhouse, S.; Ruelle, D.; Takens, F.
1978
Topological entropy and Hausdorff dimension for area preserving diffeomorphisms of surfaces. Zbl 0376.58010
Newhouse, S. E.
1978
Quasi-elliptic periodic points in conservative dynamical systems. Zbl 0379.58011
Newhouse, Sheldon E.
1977
On homoclinic points. Zbl 0344.58015
Newhouse, S.
1977
Cycles and bifurcation theory. Zbl 0322.58009
Newhouse, S.; Palis, J.
1976
There is a simple arc joining any two Morse-Smale flows. Zbl 0324.58012
Newhouse, S.; Peixoto, Mauricio Matos
1976
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
1976
On simple arcs between structurally stable flows. Zbl 0307.58011
Newhouse, S.
1975
Simple arcs and stable dynamical systems. Zbl 0307.58010
Newhouse, S.
1975
Diffeomorphisms with infinitely many sinks. Zbl 0275.58016
Newhouse, Sheldon E.
1974
Bifurcations of Morse-Smale dynamical systems. Zbl 0279.58011
Newhouse, S.; Palis, J.
1973
Hyperbolic nonwandering sets on two-dimensional manifolds. Zbl 0279.58010
Newhouse, S.; Palis, J.
1973
Hyperbolic limit sets. Zbl 0239.58009
Newhouse, Sheldon E.
1972
On codimension one Anosov diffeomorphisms. Zbl 0204.56901
Newhouse, S. E.
1970
Nondensity of axiom $$A(a)$$ on $$S^ 2$$. Zbl 0206.25801
Newhouse, S. E.
1970
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#### Cited by 981 Authors

 27 Gonchenko, Sergey V. 27 Turaev, Dmitry V. 16 Pochinka, Olga Vital’evna 14 Shilnikov, Leonid Pavlovich 13 Bonatti, Christian 13 Crovisier, Sylvain 13 Díaz, Lorenzo Justiniano 12 Grines, Vyacheslav Zigmundovich 11 Bessa, Mário 10 Mireles-James, Jason D. 10 Palis, Jacob jun. 10 Varandas, Paulo 10 Yorke, James Alan 9 Burguet, David 9 Tresser, Charles 9 Yang, Jiagang 8 Berger, Pierre 8 Gorodetskii, Anton Semenovich 8 Kazakov, Alexey O. 7 Broer, Henk W. 7 Buzzi, Jérôme 7 de Thélin, Henry 7 Gonchenko, Alexander S. 7 Gonchenko, Marina S. 7 Holmes, Philip J. 7 Lee, Manseob 7 Liao, Gang 7 Misiurewicz, Michał 7 Morales, Carlos Arnoldo 7 Newhouse, Sheldon E. 6 Araújo, Vítor 6 Nozdrinova, Elena V. 6 Ovsyannikov, Ivan I. 6 Pacifico, Maria José 6 Robinson, Clark 6 Rocha, Jorge 6 Rodrigues, Alexandre A. P. 6 Saghin, Radu 6 Simó, Carles 6 Takens, Floris 6 Ures, Raúl 6 Yang, Dawei 6 Zhuzhoma, Evgeniĭ Viktorovich 5 Asaoka, Masayuki 5 Blokh, Alexander M. 5 Bykov, V. V. 5 de la Llave, Rafael 5 Guckenheimer, John M. 5 Hunt, Brian R. 5 Katok, Anatole B. 5 Kuznetsov, Sergey P. 5 Malta, Iaci 5 Medvedev, Vladislav Sergeevich 5 Mira, Christian 5 Nusse, Helena Engelina 5 Pujals, Enrique Ramiro 5 Rand, David A. 5 Ruelle, David Pierre 5 Tahzibi, Ali 5 Tedeschini-Lalli, Laura 5 Wang, Qiudong 5 Wolf, Christian 5 Zhu, Yujun 4 Alsedà, Lluís 4 Alves, José Ferreira 4 Catalan, Thiago 4 Delshams, Amadeu 4 Galias, Zbigniew 4 Gelfert, Katrin Grit 4 Jenkinson, Oliver 4 Li, Weigu 4 Lin, Xiaobiao 4 Lyubich, Mikhail Yur’evich 4 Pinto, Alberto Adrego 4 Potrie, Rafael 4 Rom-Kedar, Vered 4 Sun, Wenxiang 4 Tatjer, Joan Carles 4 Xia, Zhihong 4 Young, Lai-Sang 3 Alligood, Kathleen T. 3 Amroun, Abdelhamid 3 Arbieto, Alexander 3 Barbot, Thierry 3 Barrientos, Pablo G. 3 Bedford, Eric 3 Contopoulos, George 3 Damanik, David 3 de Carvalho, Maria Pires 3 Downarowicz, Tomasz 3 Duarte, Pedro 3 Fisher, Todd L. 3 Freitas, Jorge Milhazes 3 Gavosto, Estela Ana 3 Glyzin, Sergeĭ D. 3 Gonchenko, V. S. 3 Hale, Jack Kenneth 3 Horita, Vanderlei 3 Hu, Huyi 3 Hurley, Mike ...and 881 more Authors
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#### Cited in 178 Serials

 75 Ergodic Theory and Dynamical Systems 53 Physica D 48 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 40 Communications in Mathematical Physics 39 Transactions of the American Mathematical Society 38 Chaos 35 Journal of Differential Equations 22 Proceedings of the American Mathematical Society 20 Inventiones Mathematicae 20 Discrete and Continuous Dynamical Systems 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Advances in Mathematics 17 Functional Analysis and its Applications 16 Journal of Fluid Mechanics 16 Journal of Statistical Physics 16 Dynamical Systems 14 Israel Journal of Mathematics 14 Regular and Chaotic Dynamics 13 Chaos, Solitons and Fractals 11 Mathematische Zeitschrift 10 Journal of Dynamics and Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Proceedings of the Steklov Institute of Mathematics 8 Nonlinearity 8 Journal of Difference Equations and Applications 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Publications Mathématiques 7 Topology and its Applications 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Mathematical Sciences (New York) 7 Journal of Modern Dynamics 6 Discrete and Continuous Dynamical Systems. Series B 5 Annales de l’Institut Fourier 5 Boletim da Sociedade Brasileira de Matemática 5 Dynamics and Stability of Systems 5 Acta Mathematica Sinica. New Series 5 Journal of Nonlinear Science 5 Physics of Fluids 5 Doklady Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Nelineĭnaya Dinamika 4 Mathematical Notes 4 Acta Mathematica 4 Commentarii Mathematici Helvetici 4 Mathematische Annalen 4 The Journal of Geometric Analysis 4 Indagationes Mathematicae. New Series 4 Vestnik St. Petersburg University. Mathematics 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Qualitative Theory of Dynamical Systems 4 Bulletin of the Brazilian Mathematical Society. New Series 4 SIAM Journal on Applied Dynamical Systems 3 Journal of the Franklin Institute 3 Journal of Mathematical Physics 3 Reviews of Modern Physics 3 Russian Mathematical Surveys 3 Celestial Mechanics and Dynamical Astronomy 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Experimental Mathematics 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Differential Equations 3 Bulletin of the American Mathematical Society 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 International Journal of Heat and Mass Transfer 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin de la Société Mathématique de France 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Acta Applicandae Mathematicae 2 Journal of Complexity 2 Journal of Economic Dynamics & Control 2 Applied Mathematics Letters 2 Science in China. Series A 2 Geometric and Functional Analysis. GAFA 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Electronic Research Announcements of the American Mathematical Society 2 Izvestiya: Mathematics 2 Discrete Dynamics in Nature and Society 2 Annales Henri Poincaré 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal de l’École Polytechnique – Mathématiques 1 Modern Physics Letters B 1 Acta Informatica 1 Acta Mechanica 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Engineering Mathematics ...and 78 more Serials
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#### Cited in 54 Fields

 790 Dynamical systems and ergodic theory (37-XX) 121 Ordinary differential equations (34-XX) 58 Fluid mechanics (76-XX) 54 Measure and integration (28-XX) 42 General topology (54-XX) 38 Mechanics of particles and systems (70-XX) 34 Manifolds and cell complexes (57-XX) 31 Differential geometry (53-XX) 27 Partial differential equations (35-XX) 27 Global analysis, analysis on manifolds (58-XX) 25 Several complex variables and analytic spaces (32-XX) 22 Numerical analysis (65-XX) 20 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 9 Algebraic geometry (14-XX) 9 Topological groups, Lie groups (22-XX) 9 Operator theory (47-XX) 8 Number theory (11-XX) 8 Real functions (26-XX) 8 Algebraic topology (55-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Quantum theory (81-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

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