Elementary Symbolic Dynamics and Chaos in Dissipative Systems

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World Scientific, 1989 - Mathematics - 460 pages
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This book is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators.
 

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Contents

Mathematical Models Exhibiting Chaos
1
OneDimensional Mappings
25
Elementary Symbolic Dynamics
101
Circle Mappings and TwoDimensional Maps
205
Chaos in Ordinary Differential Equations
253
Characterization of Chaotic Attractors
337
Sequences
354
Transient Behaviour
417
References
429
Subject Index
457
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