Hao D.L. Elementary Symbolic Dynamics and Chaos in Dissipative Systems

World Scientific Publishing, 1989, 460 Pages, ISBN: 9971506823 , 997150698XThis 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.Mathematical Models Exhibiting Chaos
One Dimensional Mappings
Elementary Symbolic Dynamics
Circle Mappings and Two-Dimensional Maps
Chaos in Ordinary Differential Equations
Characterization of Chaotic Attractors
Transient Behaviour