| Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems Contributor(s): Manrubia, Susanna C. (Author), Mikhailov, Alexander S. (Author), Zanette, Damian H. (Author) |
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ISBN: 9812388036 ISBN-13: 9789812388032 Publisher: World Scientific Publishing Company OUR PRICE: $123.50 Product Type: Hardcover Published: April 2004 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Science | Physics - General - Science | Chaotic Behavior In Systems - Mathematics | Discrete Mathematics |
| Dewey: 003 |
| LCCN: 2005297876 |
| Series: World Scientific Lecture Notes in Complex Systems |
| Physical Information: 0.94" H x 6.32" W x 9.36" (1.39 lbs) 360 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |