Dynamics Beyond Uniform Hyperbolicity : a Global Geometric and Probabilistic Perspective.

By:

Bonatti, Christian

Contributor(s):

Material type: Text

TextSeries: Encyclopaedia of Mathematical Sciences, Mathematical Physics III ; 102.Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: 394 pContent type:

text

ISBN:

3642060412
9783642060410
3540220666
9783540220664

Other title:

Encyclopaedia of Mathematical Sciences
Encyclopaedia of Mathematical Sciences, Volume 102

Subject(s):

DDC classification:

531.11

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: 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 a.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Reference	Castorina Referência (Reference)	Referência (Reference)		1	Not for loan		39063000807959

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 a.

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