Information and Self-Organization A Macroscopic Approach to Comp
This book presents the concepts needed to deal with self-organizing complex systems from a unifying point of view that uses macroscopic data. The various meanings of the concept "information" are discussed and a general formulation of the maximum informat
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Springer Series in Synergetics Series Editor Hermann Haken Institut fur Theoretische Physik 1 Zentrum fur Synergetik Universitat Stuttgart 70550 Stuttgart, Germany
Members of the Editorial Board Ake Andersson, Stockholm, Sweden Gerhard Ertl, Berlin, Germany Bernold Fiedler, Berlin, Germany Yoshiki Kuramoto, Sapporo, Japan Jiirgen Kurths, Potsdam, Germany Luigi Lugiato, Milan, Italy Jiirgen Parisi, Oldenburg, Germany Peter Schuster, Wien, Austria Frank Schweitzer, Ziirich, Switzerland Didier Sornette, Zurich, Switzerland, and Nice, France Manuel G. Velarde, Madrid, Spain SSSyn - An Interdisciplinary Series on Complex Systems The success of the Springer Series in Synergetics has been made possible by the contributions of outstanding authors who presented their quite often pioneering results to the science community well beyond the borders of a special discipline. Indeed, interdisciplinarity is one of the main features of this series. But interdisciplinarity is not enough: The main goal is the search for common features of self-organizing systems in a great variety of seemingly quite different systems, or, still more precisely speaking, the search for general principles underlying the spontaneous formation of spatial, temporal or functional structures. The topics treated may be as diverse as lasers and fluids in physics, pattern formation in chemistry, morphogenesis in biology, brain functions in neurology or self-organization in a city. As is witnessed by several volumes, great attention is being paid to the pivotal interplay between deterministic and stochastic processes, as well as to the dialogue between theoreticians and experimentalists. All this has contributed to a remarkable cross-fertilization between disciplines and to a deeper understanding of complex systems. The timeliness and potential of such an approach are also mirrored - among other indicators - by numerous interdisciplinary workshops and conferences all over the world.
Hermann Haken
Information and Self-Organization A Macroscopic Approach to Complex Systems
Third Enlarged Edition With 66 Figures
Sprin ger
Professor Dr. Dr. h.c. mult. Hermann Haken Institut fur Theoretische Physik, Zentrum fur Synergetik Universitat Stuttgart Pfaffenwaldring 57/IV 70550 Stuttgart, Germany
Library of Congress Control Number: 2006926728
The first edition appeared as Volume 40.
ISSN 0172-7389 ISBN-10 3-540-33021-6 Third Edition Springer Berlin Heidelberg New York ISBN-13 978-3-540-33021-9 Third Edition Springer Berlin Heidelberg New York ISBN 3-540-66286-3 Second Edition Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and p
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