Chemical Oscillations, Waves, and Turbulence

Y. Kuramoto (Autor)

Buch | Softcover

VIII, 158 Seiten

2011 | 1. Softcover reprint of the original 1st ed. 1984
Springer Berlin (Verlag)
978-3-642-69691-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	8.12.2011
Reihe/Serie	Springer Series in Synergetics
Zusatzinfo	VIII, 158 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	301 g
Themenwelt	Naturwissenschaften ► Chemie ► Physikalische Chemie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Schlagworte	Behavior • Bifurcation • Diffusion • Dynamical system • Dynamical Systems • Dynamics • Equilibrium • Fields • Nonlinear Dynamics • Oscillation • Phase • phase transition • Physics • Solution • Turbulence
ISBN-10	3-642-69691-0 / 3642696910
ISBN-13	978-3-642-69691-6 / 9783642696916
Zustand	Neuware