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Titlebook: Chemical Oscillations, Waves, and Turbulence; Yoshiki Kuramoto Book 1984 Springer-Verlag Berlin Heidelberg 1984 Diffusion.Oscillation.beha

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书目名称Chemical Oscillations, Waves, and Turbulence
编辑Yoshiki Kuramoto
视频video
丛书名称Springer Series in Synergetics
图书封面Titlebook: Chemical Oscillations, Waves, and Turbulence;  Yoshiki Kuramoto Book 1984 Springer-Verlag Berlin Heidelberg 1984 Diffusion.Oscillation.beha
描述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
出版日期Book 1984
关键词Diffusion; Oscillation; behavior; bifurcation; dynamical system; dynamical systems; dynamics; equilibrium; f
版次1
doihttps://doi.org/10.1007/978-3-642-69689-3
isbn_softcover978-3-642-69691-6
isbn_ebook978-3-642-69689-3Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer-Verlag Berlin Heidelberg 1984
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0172-7389 ffusion 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 sit
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Role of Teachers in Oral English TeachingA deeper meaning of the phase description method of Chap. 3 manifests itself as we cast it into a more systematic formulation. This will widen the scope of the method, thereby encompassing problems not necessarily inherent in oscillator systems.
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Role of Teachers in Oral English TeachingThe phase description can explain expanding target patterns in reaction-diffusion systems. The same method, however, breaks down for rotating spiral waves because of a phase singularity involved. The Ginzburg-Landau equation is then invoked.
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