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Foundations of Synergetics I : Distributed Active Systems

Author: Alexander S Mikhailov
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1990.
Series: Springer series in synergetics, 51.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This textbook presents an introduction to the mathematical theory of cooperative behavior in active systems of various origin, 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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander S Mikhailov
ISBN: 9783642972690 3642972691 9783642785566 3642785565 9783642785580 3642785581
OCLC Number: 851371203
Description: 1 online resource (x, 187 pages 68 illustrations).
Contents: 1. Introduction --
1.1 Basic Types of Distributed Active Systems --
1.2 Engineering and Control of Active Systems --
2. Bistable Media --
2.1 One-Component Models of Bistable Media --
2.2 Trigger Waves --
2.3 General Properties of Patterns in One-Component Bistable Media --
2.4 Waves of Transition from an Unstable State --
3. Excitable Media --
3.1 Travelling Pulses --
3.2 Cellular Automaton Models --
3.3 Spiral Waves --
3.4 Front Kinematics --
3.5 Resonance, Drift, and Meandering of Spiral Waves --
3.6 Wave Patterns in Three Dimensions --
4. Oscillatory Media --
4.1 Phase Dynamics --
4.2 Plane Waves --
4.3 Pacemakers --
4.4 Spiral Waves --
5. Active Media with Long-Range Inhibition --
5.1 Integral Negative Feedback --
5.2 Spike Patterns --
5.3 Broad Strata --
6. Neural Networks --
6.1 Automata, Spins, and Neurons --
6.2 Associative Memories --
6.3 Complex Combinatorial Optimization --
6.4 The Perceptron --
6.5 Back Propagation of Errors --
6.6 The Boltzmann Machine --
6.7 Storage of Temporal Sequences --
6.8 Networks with Mediators --
7. Reproductive Networks --
7.1 Competition and Cooperation of Reproductive Agents --
7.2 Selection --
7.3 Coexistence and Multistability --
7.4 Waves of Reproduction --
7.5 Evolution and Information Processing --
References.
Series Title: Springer series in synergetics, 51.
Responsibility: by Alexander S. Mikhailov.

Abstract:

This book gives an introduction to the mathematical theory of cooperative behavior in active systems of various origins, both natural and artificial. The primary intention is to present general  Read more...

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