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Dissipative Structures and Chaos

  • Textbook
  • © 1998

Overview

Authors:
  1. Hazime Mori

    1. Kyushu University, Japan
      Higashi-ku Fukuoka, Japan

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  2. Yoshiki Kuramoto

    1. Graduate School of Sciences, Kyoto University, Kyoto, Japan

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    You can also search for this author in PubMed   Google Scholar

  • Introduction to the field
  • Research topics included
  • Interdisciplinary approach
  • Written by highly reputated Japanese scientists

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Dissipative Structures

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Hazime Mori, Yoshiki Kuramoto
      Pages 3-3

    3. A Representative Example of Dissipative Structure

      • Hazime Mori, Yoshiki Kuramoto
      Pages 5-20

    4. Amplitude Equations and Their Applications

      • Hazime Mori, Yoshiki Kuramoto
      Pages 21-41

    5. Reaction—Diffusion Systems and Interface Dynamics

      • Hazime Mori, Yoshiki Kuramoto
      Pages 43-68

    6. Phase Dynamics

      • Hazime Mori, Yoshiki Kuramoto
      Pages 69-92

    7. Foundations of Reduction Theory

      • Hazime Mori, Yoshiki Kuramoto
      Pages 93-117

    8. Dynamics of Coupled Oscillator Systems

      • Hazime Mori, Yoshiki Kuramoto
      Pages 119-123

  3. The Structure and Physics of Chaos

    1. Front Matter

      Pages 125-125
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    2. Introduction

      • Hazime Mori, Yoshiki Kuramoto
      Pages 127-127

    3. A Physical Approach to Chaos

      • Hazime Mori, Yoshiki Kuramoto
      Pages 129-149

    4. Bifurcation Phenomena of Dissipative Dynamical Systems

      • Hazime Mori, Yoshiki Kuramoto
      Pages 151-182

    5. The Statistical Physics of Aperiodic Motion

      • Hazime Mori, Yoshiki Kuramoto
      Pages 183-215

    6. Chaotic Bifurcations and Critical Phenomena

      • Hazime Mori, Yoshiki Kuramoto
      Pages 217-240

    7. Mixing and Diffusion in Chaos of Conservative Systems

      • Hazime Mori, Yoshiki Kuramoto
      Pages 241-259

    8. On the Structure of Chaos

      • Hazime Mori, Yoshiki Kuramoto
      Pages 261-264

  4. Back Matter

    Pages 265-267
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  5. Back Matter

    Pages 269-299
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Keywords

About this book

This book consists of two parts, the first dealing with dissipative structures and the second with the structure and physics of chaos. The first part was written by Y. Kuramoto and the second part by H. Mori. Throughout the book, emphasis is laid on fundamental concepts and methods rather than applications, which are too numerous to be treated here. Typical physical examples, however, including nonlinear forced oscilla­ tors, chemical reactions with diffusion, and Benard convection in horizontal fluid layers, are discussed explicitly. Our consideration of dissipative structures is based on a phenomenolog­ ical reduction theory in which universal aspects of the phenomena under consideration are emphasized, while the theory of chaos is developed to treat transport phenomena, such as the mixing and diffusion of chaotic orbits, from the viewpoint of the geometrical phase space structure of chaos. The title of the original, Japanese version of the book is Sanitsu Kozo to Kaosu (Dissipative Structures and Chaos). It is part of the Iwanami­ Koza Gendai no Butsurigaku (Iwanami Series on Modern Physics). The first Japanese edition was published in March 1994 and the second in August 1997. We are pleased that this book has been translated into English and that it can now have an audience outside of Japan. We would like to express our gratitude to Glenn Paquette for his English translation, which has made this book more understandable than the original in many respects.

Reviews

"...extremely well written ...and has sufficient detail and clarity to enable readers (presumably post-graduates) to learn the important techniques presented... the best reference that I know that describes the physics (and in particular the statistical physics) of dissipative structures and chaos...an absolute must" Australian & New Zealand Physicist

Authors and Affiliations

  • Kyushu University, Japan

    Hazime Mori

  • Higashi-ku Fukuoka, Japan

    Hazime Mori

  • Graduate School of Sciences, Kyoto University, Kyoto, Japan

    Yoshiki Kuramoto

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