Chemical Oscillations, Waves, and Turbulence | SpringerLink
Excerpt
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.
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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.
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Table of contents (7 chapters)
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Front Matter
Pages I-VIII
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Introduction
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Methods
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Applications
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Back Matter
Pages 141-158
Authors and Affiliations
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Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University, Kyoto 606, Japan
Yoshiki Kuramoto
Bibliographic Information
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Book TitleChemical Oscillations, Waves, and Turbulence
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AuthorsYoshiki Kuramoto
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Series Title Springer Series in Synergetics
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DOIhttps://doi.org/10.1007/978-3-642-69689-3
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PublisherSpringer Berlin, Heidelberg
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eBook Packages Springer Book Archive
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Copyright InformationSpringer-Verlag Berlin Heidelberg 1984
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Softcover ISBN978-3-642-69691-6Published: 08 December 2011
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eBook ISBN978-3-642-69689-3Published: 06 December 2012
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Series ISSN 0172-7389
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Series E-ISSN 2198-333X
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Edition Number1
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Number of PagesVIII, 158
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Topics Physical Chemistry, Theoretical, Mathematical and Computational Physics