ENGLISH

Synchronization in Complex Networks of Nonlinear Dynamical Systems

By Chai Wah Wu

Book information

Publisher
World Scientific Publishing Company
Year
2007
ISBN
9812709738, 9789812709738, 9789812709745
Open Library ID
OL16197246M
Language
english
Format
PDF
Filesize
2 MB (1823645 bytes)
Pages
168\168
Scanned
yes
Time added
2011-08-31 04:54:40

Description

This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area.

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