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9780521547833

Chaotic Dynamics: An Introduction Based on Classical Mechanics

by
  • ISBN13:

    9780521547833

  • ISBN10:

    0521547830

  • Format: Paperback
  • Copyright: 2006-09-18
  • Publisher: Cambridge University Press

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Summary

Since Newton, a basic principle of natural philosophy has been determinism, the possibility of predicting evolution overtime into the far future, given the governing equations and starting conditions. Our everyday experience often strongly contradicts this expectation. In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties.

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.

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