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Emergence Of Dynamical Order : Synchronization Phenomena In Complex Systems - Susanna C. Munrubia

Emergence Of Dynamical Order

Synchronization Phenomena In Complex Systems

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Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.

Introductionp. 1
Synchronization and clustering of periodic oscillators
Ensembles of identical phase oscillatorsp. 13
Heterogeneous ensembles and the effects of noisep. 35
Oscillator networksp. 61
Arrays of limit-cycle oscillatorsp. 83
Synchronization and clustering in chaotic systems
Chaos and synchronizationp. 109
Synchronization in populations of chaotic elementsp. 131
Clusteringp. 171
Dynamical glassesp. 203
Selected applications
Chemical systemsp. 227
Biological cellsp. 273
Neural networksp. 303
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789812388032
ISBN-10: 9812388036
Series: World Scientific Lecture Notes in Complex Systems
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 360
Published: 15th April 2004
Country of Publication: SG
Dimensions (cm): 23.77 x 16.05  x 2.39
Weight (kg): 0.63