Synopses & Reviews
Review
"...this book can be recommended to graduate students and researchers for independent study as well as being a basis for an advanced undergraduate course." Moshe Gitterman, Journal of Statistical Physics
Review
"What has been achieved is success in placing the key ideas involved within a wide framework involving many different parts of science. In this the author is to be congratulated..." Eric Renshaw, Bulletin of Mathematical Biology
Review
"Introduction to Nonlinear Science will be a very valuable addition to the libraries of serious nonlinear dynamics students, and the author is to be commended for making an important contribution to the field." D.T. Mook, Applied Mechanics Review
Description
Includes bibliographical references (p. 239-250) and index.
Table of Contents
Preface; 1. Nonlinear behavior in the physical sciences and biology: some typical examples; 2. Quantitative formulation; 3. Dynamical systems with a finite number of degrees of freedom; 4. Linear stability analysis of fixed points; 5. Nonlinear behavior around fixed points: bifurcation analysis; 6. Spatially distributed systems, broken symmetries, pattern formation; 7. Chaotic dynamics; Appendices; References; Index.