Chaos in dynamical systems

書誌事項

Chaos in dynamical systems

Edward Ott

Cambridge University Press, 2002

2nd ed

  • : hbk
  • : pbk

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注記

Includes bibliographical references (p. 452-474) and index

内容説明・目次

内容説明

Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.

目次

  • Preface
  • 1. Introduction and overview
  • 2. One-dimensional maps
  • 3. Strange attractors and fractal dimensions
  • 4. Dynamical properties of chaotic systems
  • 5. Nonattracting chaotic sets
  • 6. Quasiperiodicity
  • 7. Chaos in Hamiltonian systems
  • 8. Chaotic transitions
  • 9. Multifractals
  • 10. Control and synchronization of chaos
  • 11. Quantum chaos.

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詳細情報

  • NII書誌ID(NCID)
    BA58362747
  • ISBN
    • 0521811961
    • 9780521010849
  • LCCN
    2001052863
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge, [England]
  • ページ数/冊数
    xi, 478 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
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