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Dissipative Structures and Chaos

  • Hazime Mori
  • Yoshiki Kuramoto

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Dissipative Structures

    1. Front Matter
      Pages 1-1
    2. Hazime Mori, Yoshiki Kuramoto
      Pages 3-3
    3. Hazime Mori, Yoshiki Kuramoto
      Pages 5-20
    4. Hazime Mori, Yoshiki Kuramoto
      Pages 21-41
    5. Hazime Mori, Yoshiki Kuramoto
      Pages 43-68
    6. Hazime Mori, Yoshiki Kuramoto
      Pages 69-92
    7. Hazime Mori, Yoshiki Kuramoto
      Pages 93-117
    8. Hazime Mori, Yoshiki Kuramoto
      Pages 119-123
  3. The Structure and Physics of Chaos

    1. Front Matter
      Pages 125-125
    2. Hazime Mori, Yoshiki Kuramoto
      Pages 127-127
    3. Hazime Mori, Yoshiki Kuramoto
      Pages 129-149
    4. Hazime Mori, Yoshiki Kuramoto
      Pages 151-182
    5. Hazime Mori, Yoshiki Kuramoto
      Pages 183-215
    6. Hazime Mori, Yoshiki Kuramoto
      Pages 217-240
    7. Hazime Mori, Yoshiki Kuramoto
      Pages 241-259
    8. Hazime Mori, Yoshiki Kuramoto
      Pages 261-264
    9. Back Matter
      Pages 265-267
  4. Back Matter
    Pages 269-299

About this book

Introduction

This monograph consists of two parts and gives an approach to the physics of open nonequilibrium systems. Part I derives the phenomena of dissipative structures on the basis of reduced evolution equations and includes Bénard convection and Belousov-Zhabotinskii chemical reactions. Part II discusses the physics and structures of chaos. While presenting a construction of the statistical physics of chaos, the authors unify the geometrical and statistical descriptions of dynamical systems. The shape of chaotic attractors is characterized, as are the mixing and diffusion of chaotic orbits and the fluctuation of energy dissipation exhibited by chaotic systems.

Keywords

Chaos Chaotic Attractors Dissipative Structures Energy Dissipation Geometric and Statistic Description of Dynamical Systems Reduced Evolution Equations statistical physics

Authors and affiliations

  • Hazime Mori
    • 1
    • 2
  • Yoshiki Kuramoto
    • 3
  1. 1.Kyushu UniversityJapan
  2. 2.Higashi-ku FukuokaJapan
  3. 3.Graduate School of SciencesKyoto UniversityKyotoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-80376-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-80378-9
  • Online ISBN 978-3-642-80376-5
  • Buy this book on publisher's site