Chaotic Evolution and Strange Attractors

D. Ruelle (Author)

9780521368308, Cambridge University Press

Paperback, published 7 September 1989

112 pages
21.6 x 13.9 x 1.2 cm, 0.154 kg

"...a fine reference book for experts in this field." The UMAP Journal

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.

Foreword
Introduction
Part I. Steps to a Deterministic Interpretation of Chaotic Signals: 1. Descriptions of turbulence
2. A bit more on turbulence
3. The Hénon 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.

Subject Areas: Chaos theory [PBWS]