Chaotic Evolution and Strange Attractors

Häftad, Engelska, 1989

Av D. Ruelle, David Ruelle, Luigi A. Radicati Di Brozolo

509 kr

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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.

Produktinformation

Utgivningsdatum1989-09-07
Mått139 x 216 x 7 mm
Vikt154 g
FormatHäftad
SpråkEngelska
SerieLezioni Lincee
Antal sidor112
FörlagCambridge University Press
ISBN9780521368308

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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.