Dynamics of Synergetic Systems Proceedings of the International
This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24. -29 . • 1979. In keeping with our previous meetings. this one wa
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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
3rd Printing
Volume 5 Pattern Formation by Dynamic Systems and Pattern Recognition Editor: H. Haken Volume 6 Dynamics of Synergetic Systems Editor: H. Haken
Dynamics of
Synergetic Systems Proceedings of the International Symposium on Synergetics, Bielefeld, Fed. Rep. of Germany, September 24-29, 1979
Editor: H. Haken
With 146 Figures, Some in Color
Springer-Verlag Berlin Heidelberg New York 1980
Professor Dr. Hermann Haken Institut fUr Theoretische Physik der Universitat Stuttgart Pfaffenwaldring 571N, D-7000 Stuttgart 80, Fed. Rep. of Germany
ISBN-13: 978-3-642-67594-2 e-ISBN-13: 978-3-642-67592-8 DOl: 10.1007/978-3-642-67592-8 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 the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1980 Softcover reprint of the hardcover I st edition 1980 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 ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24.-29 .• 1979. In keeping with our previous meetings. this one was truly interdisciplinary. Synergetic systems are those that can produce macroscopic spatial. temporal or functional structures in a self-organized way. I think that these proceedings draw a rather coherent picture of the present status of Synergetics, emphasizing this time theoretical aspects, although the proceedings contain also important contributions from the experimental side. Synergetics has ties to many quite different disciplines as is clearly mirrored by the following articles. Out of the many ties I pick here only one example which is alluded to in the title of this book. Indeed, there is an important branch of mathematics called dynamic systems theory for which the problems of Synergetics might become an eldorado. While, undoubtedly, a good deal of dynamic systems theory had been motivated by mechanics, such as celestial and fluid dynamics, Synergetics provides us with a wealth of related problems of quite different fields, e.g., lasers or chemical reaction processes. In order to become adequately applicable, in quite a number of real
