This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to help readers to become familiar with this fascinating topic and even to enjoy the experience.
Author(s): Hans Jurgen Korsch, Hans-Jorg Jodl, Timo Hartmann
Edition: 3rd rev. and enlarged ed.
Publisher: Springer
Year: 2008
Language: English
Pages: 352
Preface to the Third Edition......Page 4
Preface to the First Edition......Page 5
Contents......Page 9
1 Overview and Basic Concepts......Page 14
2 Nonlinear Dynamics and Deterministic Chaos......Page 24
3 Billiard Systems......Page 60
4 Gravitational Billiards: The Wedge......Page 82
5 The Double Pendulum......Page 104
6 Chaotic Scattering......Page 127
7 Fermi Acceleration......Page 149
8 The Duffing Oscillator......Page 169
9 Feigenbaum Scenario......Page 197
10 Nonlinear Electronic Circuits......Page 223
11 Mandelbrot and Julia Sets......Page 243
12 Ordinary Differential Equations......Page 267
13 Kicked Systems......Page 313
A System Requirements and Program Installation......Page 330
B General Remarks on Using the Programs......Page 334
Glossary......Page 338
Index......Page 346