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Chaotic Dynamics (eBook, PDF)

An Introduction Based on Classical Mechanics

• Format: PDF

Produktbeschreibung

In 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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 24. August 2006
• Englisch
• ISBN-13: 9780511331824
• Artikelnr.: 38214679

Inhaltsangabe

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.

Rezensionen

'... a well-organised, beautifully illustrated volume covering the main points of chaotic dynamical systems, using intuitive mechanical examples to motivate clear and lucid discussions ... It is certainly a book intended to teach or learn from ... Throughout the work self-contained text capsules appear, expanding on issues raised in the discussions, and containing excellent summaries, histories, explanations and more potential applications ... excellent layout and ordering ... 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, University of Leeds