by Bai-Lin Hao (Academia Sinica, China) & 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.

• 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