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Dynamics in One Dimension

Dynamics in One Dimension

Paperback

Series: Lecture Notes in Mathematics, Book 1513

General Mathematics

ISBN10: 3540553096
ISBN13: 9783540553090
Publisher: Springer Nature
Published: Mar 25 1992
Pages: 252
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics