Chaotic Behaviour of Deterministic Dissipative Systems [Paperback]

This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.This graduate text presents chaos as a model for many seemingly random processes in nature. Basic notions from the theory of dynamical systems, bifurcation theory and the properties of chaotic solutions are then described and illustrated by examples.This graduate text presents chaos as a model for many seemingly random processes in nature. Basic notions from the theory of dynamical systems, bifurcation theory and the properties of chaotic solutions are then described and illustrated by examples.Surveying both theoretical and experimental aspects of chaotic behavior, this book presents chaos as a model for many seemingly random processes in nature. Basic notions from the theory of dynamical systems, bifurcation theory and the properties of chaotic solutions are then described and illustrated by examples. A review of numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided. In addition, an extensive survey of experimental observation of chaotic behavior and methods of its analysis are used to stress universal features of the phenomenon.Introduction; 1. Differential equations, maps and asymptotic behaviour; 2. Transition from order to chaos; 3. Numerical methods for studies of parametric dependences, bifurcations and chaos; 4. Chaotic dynamics in experiments; 5. Forced and coupled chemical oscillators: a case study of chaos; 6. Chaos in distributed systems; Appendices; Bibliography; Index. Among the rapidly growing number of books exhibiting different aspects of dynamically induced chaotic behavior, the book under review takes its own place for two reasons: First, it is mainly oriented toward applications. Second, it reflects a view and a set of results on this subject that were developed by the Prague research group studying dynamical systems and their applications. Alexander I. Khibnl3a