Emergence of dynamical order : synchronization phenomena in complex systems
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Bibliographic Information
Emergence of dynamical order : synchronization phenomena in complex systems
(World Scientific lecture notes in complex systems, v.2)
World Scientific, c2004
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Description and Table of Contents
Description
Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses.
Table of Contents
- Dynamical Order in Large Complex Systems
- Ensembles of Identical Phase Oscillators
- Heterogeneous Ensembles and Effects of Noise
- Oscillator Networks
- Arrays of Limit-Cycle Oscillators
- Chaos and Synchronization
- Synchronization in Populations of Chaotic Elements
- Clustering
- Dynamical Glasses
- Chemical Systems
- Biological Cells
- Neural Networks
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