Chaos in dynamical systems
著者
書誌事項
Chaos in dynamical systems
Cambridge University Press, 1993
- : hbk
- : pbk
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注記
Includes bibliographical references (p. 363-381) and index
内容説明・目次
内容説明
This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.
目次
- 1. Introduction and overview
- 2. One-dimensional maps
- 3. Strange attractors and fractal dimensions
- 4. Dynamical properties of chaotic systems
- 5. Non-attracting chaotic sets
- 6. Quasiperiodicity
- 7. Chaos in Hamiltonian systems
- 8. Chaotic transitions
- 9. Multifractals
- 10. Quantum chaos
- References.
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