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Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics)by Pierre Collet
Synopses & ReviewsPublisher Comments:The study of dynamical systems is a well established field. The authors have written this book in an attempt to provide a panorama of several aspects, that are of interest to mathematicians and physicists alike. The book collects the material of several courses at the graduate level given by the authors. Thus, the exposition avoids detailed proofs in exchange for numerous illustrations and examples, while still maintaining sufficient precision. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.
Synopsis:The study of dynamical systems is a well established field. Having given graduatelevel courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and physicists alike. Avoiding belaboured proofs, the exposition concentrates instead on abundant illustrations and examples, while still retaining sufficient mathematical precision. Besides the standard topics of the field, questions of physical measurement and stochastic properties of chaotic dynamical systems are given much attention.
Table of ContentsA Basic Problem. Dynamical Systems. Topological Properties. Hyperbolicity. Invariant Measures. Entropy. Statistics and Statistical Mechanics. Other Probabilistic Results. Experimental Aspects. References. Index
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