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Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics)

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Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics) Cover

 

Synopses & Reviews

Publisher 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 graduate-level 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 Contents

A Basic Problem.- Dynamical Systems.- Topological Properties.- Hyperbolicity.- Invariant Measures.- Entropy.- Statistics and Statistical Mechanics.- Other Probabilistic Results.- Experimental Aspects.- References.- Index

Product Details

ISBN:
9783540347057
Author:
Collet, Pierre
Publisher:
Springer
Author:
Eckmann, Jean Pierre
Author:
Eckmann, Jean-Pierre
Subject:
Differential Equations
Subject:
Mathematical Physics
Subject:
Mathematics-Differential Equations
Subject:
Mathematical Analysis
Subject:
Ergodic theory
Subject:
hyperbolic dynamics
Subject:
statistical properties
Subject:
Dynamical Systems and Ergodic Theory
Subject:
mathematical methods in physics
Edition Description:
Book
Series:
Theoretical and Mathematical Physics
Publication Date:
20061131
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
244
Dimensions:
235 x 155 mm 576 gr

Related Subjects

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Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Dynamics
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Physics » Math

Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics) New Hardcover
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Product details 244 pages Springer - English 9783540347057 Reviews:
"Synopsis" by , The study of dynamical systems is a well established field. Having given graduate-level 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.
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