Chaotic Dynamics: An Introduction

ISBN-13: 9780521476850 / Angielski / Miękka / 1996 / 272 str.

Gregory L. Baker

Opis

The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterize this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had a far-reaching impact. As in the first edition, the authors present all the main features of chaotic dynamics using the damped, driven pendulum as the primary model. This second edition includes additional material on the analysis and characterization of chaotic data, and applications of chaos. This new edition of Chaotic Dynamics can be used as a text for courses on chaos for physics and engineering students at the second- and third-year level.

Recenzje

'It bridges the gap between the popular books and the technical tomes, by employing computer experiments in place of calculations, and by concentrating on examples … Written by people for whom chaos is not an end but a means to the understanding of physical phenomena.' The Times Higher Education Supplement

Spis treści

1. Introduction; 2. Some helpful tools; 3. Visualization of the pendulum's dynamics; 4. Toward an understanding of chaos; 5. The characterization of chaotic attractors; 6. Experimental characterization, prediction, and modification of chaotic states; 7. Chaos broadly applied; Further reading; Appendix A. Numerical integration – Runge-Kutta method; Appendix B. Computer program listings; References; Index.