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Dynamics Beyond Uniform Hyperbolicity A Global Geometric and Probabilistic Perspective /

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for which an "infinitesimal" evolution rule, such as a differential equation or the iteration of a map, is known. The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unif...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Bonatti, Christian (Author), Díaz, Lorenzo J. (Author), Viana, Marcelo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Encyclopaedia of Mathematical Sciences ; 102
Subjects:
Online Access:Texto Completo
Table of 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.