Synchronization in Complex Networks of Nonlinear Dynamical Systems

Released on by Chai Wah Wu
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  • Synchronization in Complex Networks of Nonlinear Dynamical Systems Book Detail

  • Author : Chai Wah Wu
  • Release Date : 2007
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 168
  • ISBN 13 : 9812709746
  • File Size : 54,54 MB
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Synchronization in Complex Networks of Nonlinear Dynamical Systems by Chai Wah Wu PDF Summary

Book 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. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

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Synchronization

Synchronization

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A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical application