Chemical Oscillations, Waves, and Turbulence
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 s
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Editor: Hermann Haken
Synergetics, an interdisciplinary field ofresearch, is concemed with the cooperation of individual parts of a system that produces macroscopic spatial, temporal or functional structures. It deals with deterministic as wen as stochastic processes. Volume 1 Synergetics An Introduction ByH. Haken Volume 2 Synergetics A Workshop
3rd Edition
Editor: H. Haken
Volume 3 Synergetics Far from Equilibrium Volume 4 Strnctural Stability in Physics
Editors: A. Pacault and C. Vidal
Editors: W Güttinger and H. Eikemeier
Volume 5 Pattern Formation by Dynamic Systems and Pattern Recognition Editor: H. Haken Editor: H. Haken
Volume 6 Dynamics or Synergetic Systems Volume 7 Problems or Biological Physics
By L. A. Blumenfeld
Volume 8 Stochastic Nonlinear Systems in Physics, Chemistry, and Biology Editors: L. Arnold and R Lefever Volume 9 Numerical Methods in the Study or Critical Phenomena Editors: J. Della Dora, 1. Demongeot, and B. Lacolle Volume 10 The Kinetic Theory or Electromagnetic Processes Volume 11 Chaos and Order in Nature
By Yu. L. Klimontovich
Editor: H. Haken
Volume 12 Nonlinear Phenomena in Chemical Dynamics
Editors: C. Vidal and A. Pacault
Volume 13 Handbook or Stochastic Methods for Physics, Chemistry and the Natural Sciences By C. W Gardiner . Volume 14 Concepts and Models or a Quantitative Sociology The Dynamics of Interacting Populations By W Weidlich and G. Haag Volume 15 Noise-Induced Transitions Theory and Applications in Physics, Chemistry, and Biology By W Horsthemke and R Lefever Volume 16 Physics or Bioenergetic Processes
By L. A. Blumenfeld
Volume 17 Evolution or Order and Chaos in Physics, Chemistry, and Biology Editor: H. Haken Volume 18 The Fokker-Planck Equation
By H. Risken
Volume 19 Chemical Oscillations, Waves, and Turbulence Volume 20 Advanced Synergetics
By Y Kuramoto
By H. Haken
Volume 21 Stochastic Phenomena and Chaotic Behaviour in Complex Systems Editor: P. Schuster Volume 22 Synergetics - From Microscopic to Macroscopic Order Editor: E. Frehland Volume 23 Synergetics or the Brain
Editors: E.
Volume 24 Chaos and Statistical Methods
Ba~ar,
H. Flohr, H. Haken, and A. J. MandelI
Editor: Y Kuramoto
Volume 25 Dynamics or Hierarchical Systems
By J. S. Nicolis
Volume 26 Self-Organization and Management or Social Systems Editors: H. Ulrich.and G.1. B. Probst
Y Kuramoto
Chemical Oscillations, Waves, and Turbulence With 41 Figures
Springer-Verlag Berlin Heidelberg NewYork Tokyo 1984
Professor Dr. Yoshiki Kuramoto Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University Kyoto 606, Japan
Series Editor: Professor Dr. Dr. h. c. Hermann Haken Institut für Theoretische Physik der Universität Stuttgart, Pfaffenwaldring 57/IV, D-7000 Stuttgart 80, Fed. Rep. of Germany
ISBN-13: 978-3-642-69691-6 e-ISBN-13: 978-3-642-69689-3 001: 10.1007/978-3-642-69689-3 Library of Congress Cataloging in Publication Data. Kuramoto, Yoshiki. Chemical oscillations, waves, and turbulence. (Springer series in synergetics ; v. 19). Includes bibliographical ref
