Chaotic Evolution and Strange Attractors

ISBN-13: 9780521368308 / Angielski / Miękka / 1989 / 112 str.

David Ruelle; D. Ruelle; Luigi A. Radicati Di Brozolo

Opis

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.

Recenzje

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

Spis treści

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.