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Emergence of Dynamical Order
Susanna C. Manrubia
Alexander S. Mikhailov
Dam¡an H. Zannette
其他書名
Synchronization Phenomena in Complex Systems
出版
World Scientific
, 2004
主題
Mathematics / Linear & Nonlinear Programming
Science / Physics / General
ISBN
9812388036
9789812388032
URL
http://books.google.com.hk/books?id=w6RpDQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.