Deterministic chaos : an introduction
著者
書誌事項
Deterministic chaos : an introduction
VCH-Verlag , Distribution, USA and Canada, VCH, c1988
2nd rev. ed
- : Cambridge
- : Weinheim
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注記
"The book grew out of a series of lectures, which [the author] gave during the summer terms of 1982 and 1983 at the University of Frankfurt"--Pref.
Bibliography: p. 245-266
Includes index
内容説明・目次
内容説明
This revised and updated version of a classic introduction to deterministic chaos views the field from a physicist's point of view. This edition contains new sections on sensitive parameter dependence, fat fractals, characterization of attractors by scaling indices, the Farey tree, and the notion of global universality. The book answers basic questions such as what is deterministic chaos, how is it generated, where does it occur, and what can one learn from a chaotic signal? It also explains advanced concepts such as bifurcations, intermittency, Liapunov exponents, functional renormalization groups, and strange attractors. The book requires no background beyond that possessed by a graduate student in physics.
目次
- Experiments and Simple Models
- Piecewise Linear Maps and Deterministic Chaos
- Universal Behavior of Quadratic Maps
- The Intermittency Route to Chaos
- Strange Attractors in Dissipative Dynamical Systems
- The Transition from Quasiperiodicity to Chaos
- Regular and Irregular Motion in Conservative Systems
- Chaos in Quantum Systems?
- Outlook
- Appendix
- Remarks and References
- Subject Index.
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