Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems
著者
書誌事項
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems
（Lezioni Lincee）
Cambridge University Press, 1989
- : pbk
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注記
"Collects together a series of lectures given by David Ruelle at the Accademia dei Lincee (Rome, May 1987)"--Foreword
Bibliography: p. [92]-93
Includes index
内容説明・目次
内容説明
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.
目次
- Foreword
- Introduction
- Part I. Steps to a Deterministic Interpretation of Chaotic Signals: 1. Descriptions of turbulence
- 2. A bit more on turbulence
- 3. The Henon 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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