Dynamics Beyond Uniform Hyperbolicity A Global Geometric and Probabilistic Perspective

Dynamics Beyond Uniform Hyperbolicity A Global Geometric and Probabilistic Perspective / by Christian Bonatti, Lorenzo J. Díaz, Marcelo Viana.

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
Main Authors: Bonatti, Christian (Author), Díaz, Lorenzo J. (Author), Viana, Marcelo (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Encyclopaedia of Mathematical Sciences, 102
Springer eBook Collection.
Subjects:
Dynamics.
Ergodic theory.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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