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Dynamics beyond uniform hyperbolicity : a global geometric and probabilistic perspective

Author: C Bonatti; Lorenzo J Díaz; Marcelo Viana
Publisher: Berlin ; New York : Springer, [2004], ©2005.
Series: Encyclopaedia of mathematical sciences, v. 102.; Encyclopaedia of mathematical sciences., Mathematical physics ;, 3.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bonatti, C. (Christian).
Dynamics beyond uniform hyperbolicity.
Berlin ; New York : Springer, [2004], ©2005
(OCoLC)56647134
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C Bonatti; Lorenzo J Díaz; Marcelo Viana
ISBN: 9783540268444 3540268448 3540220666 9783540220664
OCLC Number: 262680242
Description: 1 online resource (xviii, 384 pages) : illustrations.
Contents: Hyperbolicity and Beyond.- One-Dimensional Dynamics.- Homoclinic Tangencies.- Henon-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.
Series Title: Encyclopaedia of mathematical sciences, v. 102.; Encyclopaedia of mathematical sciences., Mathematical physics ;, 3.
Responsibility: Christian Bonatti, Lorenzo J. Díaz, Marcelo Viana.

Abstract:

Thus, m the space of states (phase space) is a subset M of an Euclidean space M . For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates  Read more...

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From the reviews:"... Nonuniformly hyperbolic phenomena are a central theme in current research in dynamical systems theory. The attractive book under review is meant as a guide for students as well Read more...

 
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