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

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

›› 2015, Vol. 24 ›› Issue (4): 40503-040503.doi: 10.1088/1674-1056/24/4/040503

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

甘璐伊宁, 吴召艳, 弓晓利

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2014-10-11 修回日期:2014-11-20 出版日期:2015-04-05 发布日期:2015-04-05
基金资助:
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).

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

Gan Lu-Yi-Ning (甘璐伊宁), Wu Zhao-Yan (吴召艳), Gong Xiao-Li (弓晓利)

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

Received:2014-10-11 Revised:2014-11-20 Online:2015-04-05 Published:2015-04-05
Contact: Wu Zhao-Yan E-mail:zhywu7981@gmail.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: cluster synchronization, community network, intermittent pinning control

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.

Key words: cluster synchronization, community network, intermittent pinning control

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos)

甘璐伊宁, 吴召艳, 弓晓利. Cluster synchronization in community network with nonidentical nodes via intermittent pinning control[J]. , 2015, 24(4): 40503-040503.

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[J]. Chin. Phys. B, 2015, 24(4): 40503-040503.

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

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

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