Chaotic dynamics : an introduction based on classical mechanics

Tamás Tél and Márton Gruiz ; translated by Katalin Kulacsy ; three-dimensional graphics by Szilárd Hadobás

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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[目次]

  • 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.

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この本の情報

書名 Chaotic dynamics : an introduction based on classical mechanics
著作者等 Tél, Tamás
Gruiz Marton
Hadobás Szilárd
Kulacsy Katalin
Tel Tamas
Gruiz Márton
書名別名 Kaotikus dinamika
出版元 Cambridge University Press
刊行年月 2006
ページ数 xvii, 393 p., [14] p. of plates
大きさ 26 cm
ISBN 0521547830
0521839122
NCID BA78179812
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言語 英語
原文言語 ハンガリー語
出版国 イギリス
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