ENGLISH

Dynamics in One Dimension

By Louis Stuart Block , William Andrew Coppel (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
978-3-540-55309-0, 978-3-540-47023-6
DOI
10.1007/BFb0084762
Language
english
Format
PDF
Filesize
3 MB (3268951 bytes)
Series
Lecture Notes in Mathematics 1513
Edition
1
Pages
252\250
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Topology

Description

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.

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