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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.
|Synchronization and clustering of periodic oscillators|
|Ensembles of identical phase oscillators||p. 13|
|Heterogeneous ensembles and the effects of noise||p. 35|
|Oscillator networks||p. 61|
|Arrays of limit-cycle oscillators||p. 83|
|Synchronization and clustering in chaotic systems|
|Chaos and synchronization||p. 109|
|Synchronization in populations of chaotic elements||p. 131|
|Dynamical glasses||p. 203|
|Chemical systems||p. 227|
|Biological cells||p. 273|
|Neural networks||p. 303|
|Table of Contents provided by Blackwell. All Rights Reserved.|
Series: World Scientific Lecture Notes In Complex Systems
Number Of Pages: 360
Published: 15th April 2004
Country of Publication: SG
Dimensions (cm): 22.86 x 15.88 x 2.54
Weight (kg): 0.63