| Description |
1 online resource (xviii, 384 pages) : illustrations |
| Series |
Encyclopaedia of mathematical sciences, 0938-0396 ; v. 102. Mathematical physics ; 3 |
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Encyclopaedia of mathematical sciences ; v. 102.
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Encyclopaedia of mathematical sciences. Mathematical physics ; 3.
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| Contents |
Hyperbolicity and Beyond -- One-Dimensional Dynamics -- Homoclinic Tangencies -- Hénon-like Dynamics -- Non-Critical Dynamics and Hyperbolicity -- Heterodimensional Cycles and Blenders -- Robust Transitivity -- Stable Ergodicity -- Robust Singular Dynamics -- Generic Diffeomorphisms -- SRB Measures and Gibbs States -- Lyapunov Exponents |
| Summary |
Annotation The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified important developments and led to a remarkably successful theory for a large class of systems: uniformly hyperbolic systems often exhibit complicated evolution which, nevertheless, is now rather well understood, both geometrically and statistically. Another revolution has been taking place in the last couple of decades, as one tries to build a global theory for "most" dynamical systems, recovering as much as possible of the conclusions of the uniformly hyperbolic case, in great generality. This book aims to put such recent developments in a unified perspective, and to point out open problems and likely directions for further progress. It is aimed at researchers, both young and senior, willing to get a quick, yet broad, view of this part of dynamics. Main ideas, methods, and results are discussed, at variable degrees of depth, with references to the original works for details and complementary information |
| Analysis |
wiskunde |
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mathematics |
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analyse |
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analysis |
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fysica |
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physics |
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toegepaste wiskunde |
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applied mathematics |
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Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references (pages 353-373) and index |
| Notes |
Print version record |
| In |
OhioLINK electronic book center |
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SpringerLink |
| Subject |
Geometry, Hyperbolic.
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Dynamics.
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kinetics (dynamics)
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Dinámica
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Geometría hiperbólica
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Dynamics
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Geometry, Hyperbolic
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| Form |
Electronic book
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| Author |
Díaz, Lorenzo J
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Viana, Marcelo
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| ISBN |
9783540268444 |
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3540268448 |
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3540220666 |
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9783540220664 |
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