Synergetics From Microscopic To Macroscopic Order
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Synergetics of the Brain
Author: E. Basar
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Synergetics may be considered as an interdisciplinary effort dealing with the gene ral problem of how science can cope with complex systems. The preceding symposia on synergetics were devoted to systems of physics, chemistry and partly also biolo gy and sociology. It was possible to develop adequate concepts to describe and even to calculate evolving macroscopic spatial, temporal, and functional structures which emerge through self-organization of the individual parts of the systems under con sideration. This book contains the invited papers presented at the Symposium on the Synerge tics of the brain, Schloss Elmau, Bavaria, May 2 to 7, 1983. The inclusion of this topic in the synergetics enterprise represents a big step towards a treatment of complex systems. Most probably the human brain is the most complex system we know of. As the organizers believe, this symposium provides the reader with a good cross section of experimental results and theoretical approaches to cope with the complex problems of structure and function of the brain. It was generally felt that such a joint meeting between experimentalists and theoreticians is of great importance for future development of this field. Modern experimental methods, e. g. multielectrode derivations allow or will allow us, in short, to collect huge amounts of data. Simi larly high-speed computers will flood us with an enormous number of outputs once the basic model equations have been chosen.
Synergetics
Author: Hermann Haken
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-11-11
This book is a reprint edition that comprises two titles, namely "Synergetics. An Introduction. Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology" and ''Advanced Synergetics. Instability Hierarchies of Self Organizing Systems and Devices". The reason for this publication is two-fold: Since synergetics is a new type of interdisciplinary field, initiated by the author in 1969, the basic ideas developed in these volumes are of considerable theoretical interest. But much more than this, the methods and even the concrete examples presented in these books are still highly useful for graduate students, professors, and even for researchers in this fascinating field. The reason lies in the following facts: Synergetics deals with complex systems, i. e. systems that are composed of many individual parts that are able to spontaneously form spatial, temporal or functional structures by means of self-organization. Such phenomena occur in many fields ranging from physics, chemistry and biology to economy and sociology. More recent areas of application have been found in medicine and psychology, where the great potential of the basic principles of synergetics can be unearthed. Further applications have become possible in informatics, for instance the designing of new types of computers, and in other fields of engineering.
Foundations of Synergetics I
Author: Alexander S. Mikhailov
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This book gives an introduction to the mathematical theory of cooperative behavior in active systems of various origins, both natural and artificial. It is based on a lecture course in synergetics which I held for almost ten years at the University of Moscow. The first volume deals mainly with the problems of pattern fonnation and the properties of self-organized regular patterns in distributed active systems. It also contains a discussion of distributed analog information processing which is based on the cooperative dynamics of active systems. The second volume is devoted to the stochastic aspects of self-organization and the properties of self-established chaos. I have tried to avoid delving into particular applications. The primary intention is to present general mathematical models that describe the principal kinds of coopera tive behavior in distributed active systems. Simple examples, ranging from chemical physics to economics, serve only as illustrations of the typical context in which a particular model can apply. The manner of exposition is more in the tradition of theoretical physics than of in mathematics: Elaborate fonnal proofs and rigorous estimates are often replaced the text by arguments based on an intuitive understanding of the relevant models. Because of the interdisciplinary nature of this book, its readers might well come from very diverse fields of endeavor. It was therefore desirable to minimize the re quired preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient.