Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control | Zendy

Jianwen Feng | Zendy; Jingyi Wang | Zendy; Chen Xu | Zendy; Francis Austin | Zendy

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Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Author(s) -

Jianwen Feng,

Jingyi Wang,

Chen Xu,

Francis Austin

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/262349

Subject(s) - cluster (spacecraft) , synchronization (alternating current) , coupling strength , complex network , coupling (piping) , topology (electrical circuits) , nonlinear system , computer science , control (management) , complex system , control theory (sociology) , mathematics , physics , artificial intelligence , materials science , computer network , combinatorics , quantum mechanics , world wide web , metallurgy , condensed matter physics

We consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We also propose an effective way of adapting the coupling strengths of complex networks. In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations

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