A Strange Attractor

  • Yves Coudène
Chapter
Part of the Universitext book series (UTX)

Abstract

Using the Hartman–Grobman theorem, we can show that a small perturbation f of a hyperbolic toral automorphism is conjugate to this automorphism. For such a transformation, all points are therefore nonwandering, and there exists a dense set of recurrent points.

Keywords

Manifold 

Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  • Yves Coudène
    • 1
  1. 1.Université de Bretagne OccidentaleBrestFrance

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