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Dynamics of Synergetic Systems : Proceedings of the International Symposium on Synergetics, Bielefeld, Fed. Rep. of Germany, September 24–29, 1979

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Abstract 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 . • 1...979. 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 con­ tributions 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 had been motivated by mechanics, such as celestial and fluid dynamics, theory 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 realistic cases dynamic systems theory must be developed further. This is equally true for a number of other approaches.show more
Table of Contents I. Introduction
Lines of Developments of Synergetics
II. Equilibrium Phase Transitions
Critical Phenomena: Past, Present and “Future”
Critical Properties of Relativistic Bose Gases
III. Nonequilibrium Phase Transitions
Collective Effects in Rasers
Nonequilibrium Phase Transition in Highly Excited Semiconductors
Nonequilibrium Transitions Induced by External White and Coloured Noise
IV. Spatio-temporal Organization of Chemical Processes
Chemical Waves in the Oscillatory Zhabotinskii System. A Transition from Temporal to Spatio-temporal Organization
Propagating Waves and Target Patterns in Chemical Systems
On the Consistency of the Mathematical Models of Chemical Reactions
The Critical Behavior of Nonequilibrium Transitions in Reacting Diffusing Systems
V. Turbulence and Chaos
Diffusion-Induced Chemical Turbulence
Chaos and Turbulence
VI. Self-organization of Biological Macvomolecules
Self-organization of Biological Macromolecules and Evolutionary Stable Strategies
A Mathematical Model of the Hypercycle
VII. Dynamics of Multi-unit Systems
Self-organization Phenomena in Multiple Unit Systems
Synchronized and Differentiated Modes of Cellular Dynamics
Dynamics of Cell-Mediated Immune Response
VIII. Models of Psychological and Social Behavior
Bifurcations in Cognitive Networks: A Paradigm of Self-organization via Desynchronization
Dynamics of Interacting Groups in Society with Application to the Migration of Population
IX. Mathematical Concepts and Methods
Structural Instability in Systems Modelling
Stationary and Time Dependent Solutions of Master Equations in Several Variables
Poissonian Techniques for Chemical Master Equations
Index of Contributors.
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Created Date 2023.09.29
Modified Date 2024.01.30