Distributed Active Systems (v. 1) (Springer Series in Synergetics) - Hardcover

Mikhailov, A.S.

Hardcover

ISBN 10: 3540572996 ISBN 13: 9783540572992

Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Inhaltsangabe

This textbook presents an introduction to the mathematical theory of cooperative behaviour in active systems of various origins, both natural and artificial. This volume (the first of two) is devoted to the properties of regular self-organized patterns in distributed active systems. An analysis of pattern formation and self-supported wave propagation in active media is followed by a description of the properties of neural networks and their possible applications in the field of distributed analog information processing. The volume ends with a discussion of reproductive networks and evolutionary systems. Attention is focused on basic models which might appear in a wide range of applications. As illustrations, the author uses simplified examples borrowed from a variety of disciplines ranging from chemical and biological physics to market economics. The new edition has been thoroughly revised and updated to incorporate recent advances in this exciting field.

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Reseña del editor

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.

Details zur Ausgabe

• Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Erscheinungsdatum: 1994
• ISBN 10: 3540572996
• ISBN 13: 9783540572992
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 225
• Kontakt zum Hersteller: Nicht verfügbar