Iterates of Piecewise Monotone Mappings on an Interval

Iterates of Piecewise Monotone Mappings on an Interval by Chris Preston.

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (...

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Bibliographic Details
Main Author: Preston, Chris (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.
Edition:1st ed. 1988.
Series:Lecture Notes in Mathematics, 1347
Springer eBook Collection.
Subjects:
Functions of real variables.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Piecewise monotone mappings
  • Proof of Theorems 2.4 and 2.5
  • Sinks and homtervals
  • Examples of register-shifts
  • A proof of Parry's theoren (Theorem 2.6)
  • Reductions
  • The structure of the set D(f)
  • Countable closed invariant sets
  • Extensions
  • Refinements
  • Mappings with one turning point
  • Some miscellaneous results from real analysis.

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