Iterates of Maps on an Interval

  • Authors
  • Chris Preston
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 999)

Table of contents

  1. Front Matter
    Pages I-V
    PDF
  2. Introduction
    Chris Preston
    Pages 1-18
  3. Piecewise monotone functions
    Chris Preston
    Pages 19-40
  4. Well-behaved piecewise monotone functions
    Chris Preston
    Pages 41-59
  5. Property R and negative schwarzian derivatives
    Chris Preston
    Pages 60-81
  6. The iterates of functions in S
    Chris Preston
    Pages 82-108
  7. Reductions
    Chris Preston
    Pages 109-142
  8. Getting rid of homtervals
    Chris Preston
    Pages 143-156
  9. Kneading sequences
    Chris Preston
    Pages 157-164
  10. An “Almost all” version of theorem 5.1
    Chris Preston
    Pages 165-180
  11. Occurrence of the different types of behaviour
    Chris Preston
    Pages 181-197
  12. Back Matter
    Pages 199-205
    PDF

About this book

Keywords

Maps behavior boundary element method derivative function functions iteration theorem types

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0061749
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-12322-4
  • Online ISBN 978-3-540-40055-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book