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Foundations of Synergetics I - Distributed Active Systems (Paperback, 2nd ed. 1990)
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Foundations of Synergetics I - Distributed Active Systems (Paperback, 2nd ed. 1990)
Series: Springer Series in Synergetics, 51
Expected to ship within 10 - 15 working days
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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."
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