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Synchronization of groups of coupled oscillators with sparse connections

Zheng, Zhigang and Feng, Xiaoqin and Ao, Bin and Cross, Michael C. (2009) Synchronization of groups of coupled oscillators with sparse connections. Europhysics Letters, 87 (5). Art. No. 50006. ISSN 0295-5075. https://resolver.caltech.edu/CaltechAUTHORS:20091013-093452649

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Abstract

Synchronization of groups of coupled oscillators with sparse connections are explored. It is found that different topologies of intergroup couplings may lead to different synchronizability. In the strong-coupling limit, an analytical treatment and criterion is proposed to judge the synchronization between communities of oscillators, and an optimal connection scheme for the group synchronization is given. By varying the intergroup and intragroup coupling strengths, different synchronous phases, i.e., the unsynchronized state, intragroup synchronization, intergroup synchronization, and global synchronization are revealed. The present discussions and results can be applied to study the pattern formation and synchronization of coupled spatiotemporal systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1209/0295-5075/87/50006DOIArticle
http://www.iop.org/EJ/abstract/0295-5075/87/5/50006/PublisherArticle
Additional Information:Copyright © EPLA 2009. Received 21 July 2009, accepted for publication 31 August 2009. Published 24 September 2009. Print publication: Issue 5 (September 2009). This work is supported in part by the National Natural Science Foundation of China, the National Basic Research Program of China, the Foundation for Doctoral Training from MOE and the HSCC of Beijing Normal University.
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of ChinaUNSPECIFIED
National Basic Research Program of ChinaUNSPECIFIED
Ministry of Education (China)UNSPECIFIED
Beijing Normal UniversityUNSPECIFIED
Issue or Number:5
Classification Code:PACS numbers: 05.45.Xt, 89.75.-k
Record Number:CaltechAUTHORS:20091013-093452649
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20091013-093452649
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16314
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 Oct 2009 23:56
Last Modified:03 Oct 2019 01:09

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