Applied symbolic dynamics and chaos
著者
書誌事項
Applied symbolic dynamics and chaos
(Directions in chaos, v. 7)
World Scientific, c1998
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注記
Includes bibliographical references (p. 423-437) and index
内容説明・目次
内容説明
Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.
目次
- Symbolic dynamics of unimodal maps
- maps with multiple critical points
- symbolic dynamics of circle maps
- symbolic dynamics of two-dimensional maps
- application to ordinary differential equations
- counting the number of periodic orbits
- symbolic dynamics and grammatical complexity
- symbolic dynamics and knot theory.
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