Chaotic Behaviour of Deterministic Dissipative Systems

ISBN-13: 9780521438308 / Angielski / Miękka / 1995 / 380 str.

Milos Marek; Igor Schreiber; Igor Shreiber

Opis

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.

Recenzje

"The book Chaotic Behaviour of Deterministic Dissipative Systems, is an excellent compendium of numerous contributions to the field of chaos science, mostly from the 1980's." Charles L. Webber, Jr., Biophysical Journal

Spis treści

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.