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Direction in Chaos - Vol. 7
APPLIED SYMBOLIC DYNAMICS AND CHAOS
by Bai-Lin Hao & Wei-Mou Zheng (Academia Sinica, China)
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.
Contents:
- 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
Readership: Graduate students and researchers in the field of nonlinear and
chaotic phenomena.
| 460pp |
Pub. date: Jul 1998 |
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