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Dynamics Beyond Uniform Hyperbolicity on Hardback by Christian Bonatti
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Dynamics Beyond Uniform Hyperbolicity

A Global Geometric and Probabilistic Perspective
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Description

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.
Release date Australia
September 30th, 2004
Audience
  • Professional & Vocational
Illustrations
XVIII, 384 p.
Pages
384
Dimensions
156x234x23
ISBN-13
9783540220664
Product ID
3670661

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