Chaos and Order in Nature Proceedings of the International Sympo

This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, 1981. At our previous meetings on synergetics the self-organized formation of structures in quite differe

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Editor: Hermann Haken

Synergetics, an interdisciplinary field of research, is concerned with the cooperation ofindividual 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 ByH. Haken

2nd Edition

Volume 2

Synergetics A Workshop Editor: H. Haken

Volume 3

Synergetics Far from Equilibrium Editors: A. Pacault and C. Vidal

Volume 4

Structural Stability in Physics Editors: W. Glittinger and H. Eikemeier

Volume 5 Pattern Fonnation by Dynamic Systems and Pattern Recognition Editor: H. Haken Volume 6

Dynamics of Synergetic Systems Editor: H. Haken

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, J. Demongeot, and B. Lacolle Volume 10 The Kinetic Theory of Electromagnetic Processes By Y. L. Klimontovich Volume 11 Chaos and Order in Nature Editor: H. Haken

Chaos and Order in Nature Proceedings of the International Symposium on Synergetics at Schloll Elmau, Bavaria, April 27 - May 2, 1981

Editor: H. Haken

With 134 Figures

Springer-Verlag Berlin Heidelberg New York 1981

Professor Dr. Hermann Haken Institut flir Theoretische Physik der Universitat Stuttgart Pfaffenwaldring 57/rv, D-7000 Stuttgart 80, Fed. Rep. of Germany

ISBN-13 :978-3-642-68306-0 e-ISBN-13 :978-3-642-68304-6 DOl: 10.1007/978-3-642-68304-6 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 to "Verwertungsgesellschafi Wort", Munich. © by Springer-Verlag Berlin Heidelberg 1981 Softcover reprint of the hardcover 1st edition 1981 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. 2153/3130-543210

Preface

This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, 1981. At our previous meetings on synergetics the self-organized formation of structures in quite different disciplines stood in the foreground of our interest. More recently it has turned out that phenomena characterized by the word "chaos" appear in various disciplines, and again far-reaching analogies in the behavior of quite different systems become visible. Therefore this meeting was devoted not only to problems connected with the occurrence of ordered structures but also to most recent results obtained in the study of chaotic motion. In th