Iterates of Piecewise Monotone Mappings on an Interval / Edition 1

Iterates of Piecewise Monotone Mappings on an Interval / Edition 1

by Chris Preston
     
 

ISBN-10: 3540503293

ISBN-13: 9783540503293

Pub. Date: 11/14/1988

Publisher: Springer Berlin Heidelberg

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 (one-dimensional) real analysis. The account concentrates on the

Overview

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 (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy.

Product Details

ISBN-13:
9783540503293
Publisher:
Springer Berlin Heidelberg
Publication date:
11/14/1988
Series:
Lecture Notes in Mathematics Series, #1347
Edition description:
1988
Pages:
172
Product dimensions:
9.21(w) x 6.14(h) x 0.38(d)

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >