Synergetics An Introduction

Over the past years the field of synergetics has been mushrooming. An ever­ increasing number of scientific papers are published on the subject, and numerous conferences all over the world are devoted to it. Depending on the particular aspects of synerget

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Editor: Hermann Haken

Synergetics, an interdisciplinary field of research, is concerned with the cooperation of individual parts of a system that produces macroscopic spatial, temporal or functional structures. It deals with deterministic as well as stochastic processes. Volume 1 Synergetics An Introduction By H. Haken Volume 2 Synergetics A Workshop

3rd Edition

Editor: H. Haken

Volume 3 Synergetics Far from Equilibrium Volume 4 Structural Stability iu Physics

Editors: A. Pacault and C. Vidal

Editors: W Glittinger and H. Eikemeier

Volume 5 Pattern Formation by Dynamic Systems and Pattern Recognition Editor: H. Haken Editor: H. Haken

Volume 6 Dynamics of Synergetic Systems Volume 7 Problems of 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 of Critical Phenomena Editors: J. Della Dora, 1. Demongeot, and B. Lacolle Volume 10 The Kinetic Theory of Electromagnetic Processes Volume II Chaos and Order in Nature

By Yu. L. Klimontovich

Editor: H. Haken

Volume 12 Nonlinear Phenomena in Chemical Dyuamics

Editors: C. Vidal and A. Pacault

Volume 13 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences By C. W Gardiner Volume 14 Concepts and Models of a Quantitative Sociology The Dynamics of Interacting Populations By W Weidlich and G. Haag Volume IS Noise-Induced Transitions Theory and Applications in Physics, Chemistry, and Biology By W Horsthemke and R. Lefever Volume 16 Physics of Bioenergetic Processes

By L. A. Blumenfeld

Volume 17 Evolution of 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 Thrbulence Volume 20 Advanced Synergetics

By H. Haken

By Y. Kuramoto

Hermann Haken

Synergetics An Introduction Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry, and Biology

Third Revised and Enlarged Edition

With 161 Figures

Springer-Verlag Berlin Heidelberg New York Tokyo 1983

Professor Dr. Dr. h. c. Hermann Haken Institut 'fiir Theoretische Physik der Universitat Stuttgart, Pfaffenwaldring 57jIV, D-7000 Stuttgart 80, Fed. Rep. of Germany

ISBN-13: 978-3-642-88340-8 e-ISBN-13: 978-3-642-88340-8 DOl: 10.1007/978-3-642-88340-8

Library of Congress Cataloging in Publication Data. Haken, H. Synergetics : an introduction: nonequilibrium phase transitions and self-organization in physics, chemistry. (Springer series in synergetics ; v.I). I. System theory. 2. Self-organizing systems. 1. Title. II. Series. Q295.H35 1983 003 83-4682 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable