Chaotic Evolution And Strange Attractors by D. RuelleChaotic Evolution And Strange Attractors by D. Ruelle

Chaotic Evolution And Strange Attractors

byD. Ruelle

Paperback | September 29, 1989

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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.
David Ruelle, a French physicist, is one of the founders of Chaos Theory. In his book, Chance and Chaos, Ruelle explains this theory and how randomness, chance, and chaos play a role in physical systems. This work, one of his better known, is accessible for the common reader, not just the scientist. Other works by Reulle are Chaotic Ev...
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Title:Chaotic Evolution And Strange AttractorsFormat:PaperbackDimensions:112 pages, 8.5 × 5.43 × 0.28 inPublished:September 29, 1989Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521368308

ISBN - 13:9780521368308

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Table of Contents

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.

From Our Editors

This book, based on lectures given at the Academia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behavior, though deterministic, has features more characteristic of stochastic systems.

Editorial Reviews

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