Foundations of Synergetics I (Springer Series in Synergetics): Distributed Active Systems - Brossura

Mikhailov, A. S.

Brossura

ISBN 10: 3642972713 ISBN 13: 9783642972713

Casa editrice: Springer Berlin Heidelberg, 2013

Riassunto

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 formation 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 mathematics: Elaborate formal proofs and rigorous estimates are often replaced in 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.

Dettagli dell?edizione

• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2013
• ISBN 10: 3642972713
• ISBN 13: 9783642972713
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 200
• Contatto del produttore: non disponibile