ENGLISH

Iterates of Piecewise Monotone Mappings on an Interval

By Chris Preston (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
ISBN
9780387503295, 0-387-50329-3
DOI
10.1007/BFb0079769
LCC
QA3 .L28 no. 1347,QA331 .L28 no. 1347
Open Library ID
OL2051726M
Language
english
Format
DJVU
Filesize
1011 kB (1035759 bytes)
Series
Lecture Notes in Mathematics 1347
Edition
1
Pages
172\179
Library
mexmat
Time added
2009-07-20 03:45:11
Real Functions

Description

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.

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