Cluster synchronization in community network with nonidentical nodes via intermittent pinning control

doi:10.1088/1674-1056/24/4/040503

Abstract In this paper, cluster synchronization in community network with nonidentical nodes is investigated. By combining intermittency with a pinning control scheme, some effective controllers are designed. In the control scheme, only one node in each community is controlled and coupling weights of a spanning tree in each community are enhanced. Based on the Lyapunov function method and mathematical analysis technique, two results for achieving cluster synchronization are obtained. Noticeably, by introducing an adaptive strategy, some universal adaptive intermittent pinning controllers are designed for different networks. Finally, two numerical simulations are performed to verify the correctness of the derived results.

Keywords: cluster synchronization community network intermittent pinning control

Received: 11 October 2014
Revised: 20 November 2014
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported jointly by the National Natural Science Foundation of China (Grant No. 61463022), the Natural Science Foundation of Jiangxi Province of China (Grant No. 20132BAB201016), the Natural Science Foundation of Jiangxi Educational Committee, Jiangxi Province, China (Grant No. GJJ14273), and the Graduate Innovation Fund of Jiangxi Normal University (Grant No. YJS2014061).

Corresponding Authors: Wu Zhao-Yan
E-mail: zhywu7981@gmail.com

Cite this article:

Gan Lu-Yi-Ning (甘璐伊宁), Wu Zhao-Yan (吴召艳), Gong Xiao-Li (弓晓利) Cluster synchronization in community network with nonidentical nodes via intermittent pinning control 2015 Chin. Phys. B 24 040503

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