Chaotic Dynamics
Chaotic Dynamics
Márton Gruiz, Loránd Eötvös University, Budapest
$116.00
USDIn the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics.
- Clear pedagogical presentation, rich in illustrations, that provides a broad coverage of aspects of chaos
- Presents important features of chaotic phenomena within a framework of classical mechanics
- Includes many worked examples as well as problems with half of the solutions available to lecturers from [email protected]
Reviews & endorsements
"What I read, and enjoyed, was a well-organized, beautifully illustrated volume covering the main points of chaotic dynamical systems, using intuitive mechanical examples to motivate clear and lucid discussions...I would happily lend this book to any student wishing to begin learning the subject of chaotic dynamics, but I would certainly also demand its return>"
Rob Sturman, UK Nonlinear News Book Review
"All in all, the book is very readable, only requiring an elementary knowledge of physics and mathematics.... The book has been carefully edited by Cambridge University Press and contains a complete and useful bibliography with many useful graphs and color plates and is otherwise highly recommended as an introductory text."
Jaume Masoliver, Journal of Statistical Physics
"The authors do not shy away from the mathematics, but neither do they become so bogged down as to lose the excitement of discovery.... Highly recommended."
Choice
"The pictures at the end provide an attractive illustration of several phenomena discussed in the book."
Bernhard Lani-Wayda, Mathematical Reviews
Product details
September 2006Paperback
9780521547833
428 pages
244 × 170 × 22 mm
0.68kg
304 b/w illus. 28 colour illus. 11 tables 150 exercises
Available
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.
