Shadowing and Hyperbolicity

Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. Speci...

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Bibliographic Details
Main Authors: Pilyugin, Sergei Yu, Sakai, Kazuhiro (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1 Main Definitions and Basic Results
  • Lipschitz and H¨older Shadowing and Structural Stability
  • 3 C1 interiors of Sets of Systems with Various Shadowing Properties
  • 4 Chain Transitive Sets and Shadowing
  • References
  • Index