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Shadowing in Dynamical Systems

  • Authors
  • Sergei¬†Yu.¬†Pilyugin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1706)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Sergei Yu. Pilyugin
    Pages 1-101
  3. Sergei Yu. Pilyugin
    Pages 173-217
  4. Sergei Yu. Pilyugin
    Pages 219-257
  5. Back Matter
    Pages 259-271

About this book

Introduction

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

Keywords

Homeomorphism diffeomorphism differential equatins dynamical systems hyperbolic set shadowing

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093184
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66299-0
  • Online ISBN 978-3-540-48429-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site