Synopses & Reviews
A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.
Synopsis
This is a clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics. Richly illustrated throughout, it uses examples from classical mechanics. Important relations are also given in simple mathematical forms. It includes a range of applications, from everyday phenomena through engineering and environmental problems to astronomy.
Synopsis
Chaotic Dynamics provides a clear introduction to chaotic phenomena, based on geometrical interpretations and simple arguments, without requiring prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. The most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. It includes a broad range of potential applications, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. This book is primarily intended for undergraduate students in science, engineering, and mathematics.
Table of Contents
Introduction; Part I. The Phenomenon: Complex Motion, Unusual Geometry: 1. Chaotic motions; 2. Fractal objects; Part II. Preparatory Concepts: 3. Regular motions; 4. Driven motions; Part III. Investigation of Chaotic Motion: 5. Chaos in dissipative systems; 6. Transient chaos in dissipative systems; 7. Chaos in conservative systems; 8. Chaotic scattering; 9. Applications of chaos; 10. Epilogue, outlook; Part IV. Miscellaneous: 11. Appendices; 12. Solutions to problems; 13. Bibliography.