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.
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.
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.
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.
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