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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zero row sums matrix, interaction digraph, constant row sum matrix, zero row sums matrices, algebraic connectivity, scrambling matrix, constant row sums, coupling topology, network synchronizes, coupled dynamical systems, interaction graph, rank one matrix, random graph model, stochastic matrices, positive diagonal elements, irreducible matrices, stochastic matrix, system synchronizes, connectivity measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Complex Networks of Nonlinear Dynamical Systems, Network of Systems, Networks of Nonlinear Continuous-time Dynamical Systems, Linear Dynamics, Graph Models, Groups of Interacting Agents, Kevin Bacon, Solla Price, Networks of Coupled Discrete-time Systems Browse Sample Pages:
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zero row sums matrix, interaction digraph, constant row sum matrix, zero row sums matrices, algebraic connectivity, scrambling matrix, constant row sums, coupling topology, network synchronizes, coupled dynamical systems, interaction graph, rank one matrix, random graph model, stochastic matrices, positive diagonal elements, irreducible matrices, stochastic matrix, system synchronizes, connectivity measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Complex Networks of Nonlinear Dynamical Systems, Network of Systems, Networks of Nonlinear Continuous-time Dynamical Systems, Linear Dynamics, Graph Models, Groups of Interacting Agents, Kevin Bacon, Solla Price, Networks of Coupled Discrete-time Systems Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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