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Chaotic Evolution and Strange Attractors : Lezioni Lincee - David Ruelle

Chaotic Evolution and Strange Attractors

Lezioni Lincee

Paperback

Published: 6th November 1989
RRP $43.95
$42.40
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This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.

"...deals with the aspects of dynamical systems which are more closely related with ergodic theory, namely the properties of the invariant measures generated by the time evolutions." Mathematics and Computers in Simulation "...an excellent survey of the current theoretical status of an exciting subject. I think it is accessible to anyone with undergraduate mathematics, and well worth reading." SIAM Reviews "...a fine reference book for experts in this field." The UMAP Journal

Foreword
Introduction
Steps to a Deterministic Interpretation of Chaotic Signals
Descriptions of turbulence
A bit more on turbulence
The HTnon mapping
Capacity and Hausdorff dimension
Attracting sets and attractors
Extracting geometric information from a times series
The Ergodic Theory of Chaos
Invariant probability measures
Physical measures
Characteristic exponents
Invariant manifolds
Axiom A and structural stability
Entropy
Dimensions
Resonances
Conclusions
References
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521368308
ISBN-10: 0521368308
Series: Lezioni Lincee
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 112
Published: 6th November 1989
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.34 x 13.61  x 0.71
Weight (kg): 0.14