
Chaotic Evolution and Strange Attractors
D. Ruelle(Author)
Cambridge University Press
Published on 7. September 1989
Book
Paperback/Softback
112 pages
978-0-521-36830-8 (ISBN)
Description
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.
Reviews / Votes
"...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 JournalMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 216 mm
Width: 140 mm
Thickness: 6 mm
Weight
152 gr
ISBN-13
978-0-521-36830-8 (9780521368308)
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Schweitzer Classification
Other editions
Additional editions

D. Ruelle
Chaotic Evolution and Strange Attractors
Book
09/1989
Cambridge University Press
€34.11
Article exhausted; check for reprint
Previous edition

D. Ruelle
Chaotic Evolution and Strange Attractors
Book
09/1989
Cambridge University Press
€34.11
Article exhausted; check for reprint
Content
Foreword; Introduction; Part I. Steps to a Deterministic Interpretation of Chaotic Signals: 1. Descriptions of turbulence; 2. A bit more on turbulence; 3. The Henon mapping; 4. Capacity and Hausdorff dimension; 5. Attracting sets and attractors; 6. Extracting geometric information from a times series; Part II. The Ergodic Theory of Chaos: 7. Invariant probability measures; 8. Physical measures; 9. Characteristic exponents; 10. Invariant manifolds; 11. Axiom A and structural stability; 12. Entropy; 13. Dimensions; 14. Resonances; 15. Conclusions; References; Bibliography; Index.