Cluster projective synchronization of complex networks with nonidentical dynamical nodes

doi:10.1088/1674-1056/21/11/110506

Abstract We investigate a new cluster projective synchronization (CPS) scheme in the time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projective synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight configuration matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

Keywords: cluster projective synchronization complex network time-varying delay adaptive controller

Received: 16 February 2012
Revised: 20 May 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 70871056 and 71271103) and the Six Talents Peak Foundation of Jiangsu Province, China.

Corresponding Authors: Yao Hong-Xing
E-mail: hxyao@ujs.edu.cn

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Yao Hong-Xing (姚洪兴), Wang Shu-Guo (王树国 ) Cluster projective synchronization of complex networks with nonidentical dynamical nodes 2012 Chin. Phys. B 21 110506

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Cluster projective synchronization of complex networks with nonidentical dynamical nodes

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