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The Space of Dynamical Systems with the C0-Topology

  • Authors
  • Sergei¬†Yu.¬†Pilyugin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1571)

Table of contents

  1. Front Matter
    Pages I-X
  2. Sergei Yu. Pilyugin
    Pages 1-21
  3. Sergei Yu. Pilyugin
    Pages 23-52
  4. Sergei Yu. Pilyugin
    Pages 53-85
  5. Sergei Yu. Pilyugin
    Pages 87-123
  6. Sergei Yu. Pilyugin
    Pages 125-142
  7. Back Matter
    Pages 143-190

About this book

Introduction

This book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. The book contains some new results (Lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). The aim of the author was to simplify and to "visualize" some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. The book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods.

Keywords

Attractors Pertubations Pseudotrajectories Topological Stability diffeomorphism numerical methods

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0073519
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57702-7
  • Online ISBN 978-3-540-48314-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site