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Dynamics in One Dimension by L.S. Block, W.A. Coppel
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Dynamics in One Dimension written by L.S. Block, W.A. Coppel
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.
Book Detail :-
Title: Dynamics in One Dimension
Author(s): L.S. Block, W.A. Coppel
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About Author :-
Author W.A. Coppel , Department of Mathematics, Institute of Advanced Studies, Australian National University,Canberra, ACT, 2600/Australia. W.A. Coppel's research while affiliated with Australian National University.
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Book Contents :-
Dynamics in One Dimension written by L.S. Block, W.A. Coppel cover the following topics.
1. Periodic Orbits
3. Unstable Manifolds and Homoclinic Points
4. Topological Dynamics
5. Topological Dynamics (continued)
6. Chaotic and Non chaotic Maps
7. Types of Periodic Orbits
8. Topological Entropy
9. Maps of the Circle
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