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Chemical Oscillations, Waves, and Turbulence

  • Book
  • © 1984

Overview

Authors:
  1. Yoshiki Kuramoto

    1. Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University, Kyoto 606, Japan

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 19)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Introduction

      • Yoshiki Kuramoto
      Pages 1-4

  3. Methods

    1. Reductive Perturbation Method

      • Yoshiki Kuramoto
      Pages 5-21

    2. Method of Phase Description I

      • Yoshiki Kuramoto
      Pages 22-34

    3. Method of Phase Description II

      • Yoshiki Kuramoto
      Pages 35-59

  4. Applications

    1. Mutual Entrainment

      • Yoshiki Kuramoto
      Pages 60-88

    2. Chemical Waves

      • Yoshiki Kuramoto
      Pages 89-110

    3. Chemical Turbulence

      • Yoshiki Kuramoto
      Pages 111-140

  5. Back Matter

    Pages 141-158
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Keywords

About this book

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num­ of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function­ ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid­ ing principle would be highly desirable. In this connection, this book pushes for­ ward a particular physical viewpoint based on the slaving principle. The dis­ covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem­ onstrated in tbis book for the fields of coupled nonlinear oscillators.

Authors and Affiliations

  • Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University, Kyoto 606, Japan

    Yoshiki Kuramoto

Bibliographic Information

  • Book Title: Chemical Oscillations, Waves, and Turbulence

  • Authors: Yoshiki Kuramoto

  • Series Title: Springer Series in Synergetics

  • DOI: https://doi.org/10.1007/978-3-642-69689-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1984

  • Softcover ISBN: 978-3-642-69691-6Published: 08 December 2011

  • eBook ISBN: 978-3-642-69689-3Published: 06 December 2012

  • Series ISSN: 0172-7389

  • Series E-ISSN: 2198-333X

  • Edition Number: 1

  • Number of Pages: VIII, 158

  • Topics: Physical Chemistry, Theoretical, Mathematical and Computational Physics

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