The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms

  • Ken Palmer
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 501)

Abstract

In this chapter we prove the shadowing theorem for diffeomorphisms. Also we give two applications of it to hyperbolic sets. A further application follows in the next chapter.

Keywords

Difference Equation Unstable Manifold Stable Manifold Bounded Solution Exponential Dichotomy 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Ken Palmer
    • 1
  1. 1.School of Mathematical & Statistical SciencesLa Trobe UniversityBundooraAustralia

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