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Dynamics in One Dimension

  • Authors
  • Louis Stuart Block
  • William Andrew Coppel

Part of the Lecture Notes in Mathematics book series (LNM, volume 1513)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Louis Stuart Block, William Andrew Coppel
    Pages 1-3
  3. Louis Stuart Block, William Andrew Coppel
    Pages 5-23
  4. Louis Stuart Block, William Andrew Coppel
    Pages 25-46
  5. Louis Stuart Block, William Andrew Coppel
    Pages 47-67
  6. Louis Stuart Block, William Andrew Coppel
    Pages 69-89
  7. Louis Stuart Block, William Andrew Coppel
    Pages 91-119
  8. Louis Stuart Block, William Andrew Coppel
    Pages 121-166
  9. Louis Stuart Block, William Andrew Coppel
    Pages 167-188
  10. Louis Stuart Block, William Andrew Coppel
    Pages 189-218
  11. Louis Stuart Block, William Andrew Coppel
    Pages 219-234
  12. Back Matter
    Pages 235-248

About this book

Introduction

The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.

Keywords

Chaos Microsoft Access Periodicity Topological Dynamics behavior entropy iteration manifold proof real analysis turbulence types

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084762
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-55309-0
  • Online ISBN 978-3-540-47023-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site