Chaos in dynamical systems

書誌事項

Chaos in dynamical systems

Edward Ott

Cambridge University Press, 1993

  • : hbk
  • : pbk

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注記

Includes bibliographical references (p. 363-381) and index

内容説明・目次

内容説明

This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.

目次

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

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詳細情報

  • NII書誌ID(NCID)
    BA20078285
  • ISBN
    • 0521432154
    • 0521437997
  • LCCN
    93009344
  • 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] ; New York
  • ページ数/冊数
    xii, 385 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
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