Overview

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.

Full Product Details

Author:   Y. Kuramoto
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1984
Volume:   19
Dimensions:   Width: 17.00cm , Height: 0.90cm , Length: 24.40cm
Weight:   0.302kg
ISBN:  

9783642696916

ISBN 10:   3642696910
Pages:   158
Publication Date:   08 December 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1.- I Methods.- 2. Reductive Perturbation Method.- 3. Method of Phase Description I.- 4. Method of Phase Description II.- II Applications.- 5. Mutual Entrainment.- 6. Chemical Waves.- 7. Chemical Turbulence.- A. Plane Wave Solutions of the Ginzburg-Landau Equation.- B. The Hopf Bifurcation for the Brusselator.- References.

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