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COLLAPSE OF TORI AND GENESIS OF CHAOS IN DISSIPATIVE SYSTEMS
by K Kaneko (Tokyo)
This book provides a good coverage of the recent developments and future directions in the study of dissipative systems. The primary thrust here is in exposing the reader to the frontiers of chaos, pointing out clues for further work in nonlinear science. With the aid of various types of mappings, the collapse of tori is investigated. The book contains much valuable introductory material and copious reference lists. Some notes on the historical development of the subject are interspersed in this volume.
Contents:
- Introduction
- Instability of Phase Motion of Tori
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Transition from Torus to Chaos Accompanied by Frequency Lockings with Symmetry Breaking
- Oscillation and Fractalization of Tori
- Doubling of Torus
- Fates of Three Torus
- Turbulence in Coupled Map Lattices
- Summary, Future Problems and Discussions
Readership: Physicists and applied mathematicians.
"It contains a wealth of numerical observations which reveal of lot of different phenomena. It is not written for the uninitiated but I recommend it to anyone who thinks that the world is simple. Your illusions will be shattered."
R S Mackay
Journal of Modern Optics (USA), 1987 |
| 276pp |
Pub. date: May 1986 |
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