Foundations of Synergetics I: Distributed Active Systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990
|
| Schriftenreihe: | Springer Series in Synergetics
51 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 cooperative 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 required preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient |
| Beschreibung: | 1 Online-Ressource (X, 187p. 68 illus) |
| ISBN: | 9783642972690 9783642972713 |
| ISSN: | 0172-7389 |
| DOI: | 10.1007/978-3-642-97269-0 |
Internformat
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Datensatz im Suchindex
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| author | Mikhailov, Alexander S. |
| author_facet | Mikhailov, Alexander S. |
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| author_sort | Mikhailov, Alexander S. |
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| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-97269-0 |
| format | Electronic eBook |
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| id | DE-604.BV042414085 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:54Z |
| institution | BVB |
| isbn | 9783642972690 9783642972713 |
| issn | 0172-7389 |
| language | English |
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| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (X, 187p. 68 illus) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1990 |
| publishDateSearch | 1990 |
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| publisher | Springer Berlin Heidelberg |
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| series | Springer Series in Synergetics |
| series2 | Springer Series in Synergetics |
| spelling | Mikhailov, Alexander S. Verfasser aut Foundations of Synergetics I Distributed Active Systems by Alexander S. Mikhailov Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (X, 187p. 68 illus) txt rdacontent c rdamedia cr rdacarrier Springer Series in Synergetics 51 0172-7389 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 cooperative 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 required preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient Physics Computer science Optical pattern recognition Botany Zoology Economics Theoretical, Mathematical and Computational Physics Processor Architectures Pattern Recognition Plant Sciences Economic Theory Informatik Wirtschaft Springer Series in Synergetics 51 (DE-604)BV000005271 51 https://doi.org/10.1007/978-3-642-97269-0 Verlag Volltext |
| spellingShingle | Mikhailov, Alexander S. Foundations of Synergetics I Distributed Active Systems Springer Series in Synergetics Physics Computer science Optical pattern recognition Botany Zoology Economics Theoretical, Mathematical and Computational Physics Processor Architectures Pattern Recognition Plant Sciences Economic Theory Informatik Wirtschaft |
| title | Foundations of Synergetics I Distributed Active Systems |
| title_auth | Foundations of Synergetics I Distributed Active Systems |
| title_exact_search | Foundations of Synergetics I Distributed Active Systems |
| title_full | Foundations of Synergetics I Distributed Active Systems by Alexander S. Mikhailov |
| title_fullStr | Foundations of Synergetics I Distributed Active Systems by Alexander S. Mikhailov |
| title_full_unstemmed | Foundations of Synergetics I Distributed Active Systems by Alexander S. Mikhailov |
| title_short | Foundations of Synergetics I |
| title_sort | foundations of synergetics i distributed active systems |
| title_sub | Distributed Active Systems |
| topic | Physics Computer science Optical pattern recognition Botany Zoology Economics Theoretical, Mathematical and Computational Physics Processor Architectures Pattern Recognition Plant Sciences Economic Theory Informatik Wirtschaft |
| topic_facet | Physics Computer science Optical pattern recognition Botany Zoology Economics Theoretical, Mathematical and Computational Physics Processor Architectures Pattern Recognition Plant Sciences Economic Theory Informatik Wirtschaft |
| url | https://doi.org/10.1007/978-3-642-97269-0 |
| volume_link | (DE-604)BV000005271 |
| work_keys_str_mv | AT mikhailovalexanders foundationsofsynergeticsidistributedactivesystems |