Synchronization of groups of coupled oscillators with sparse connections
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.
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.Attached Files
Published - Zheng2009p6036Epl-Europhys_Lett.pdf
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Additional details
- Eprint ID
- 16314
- Resolver ID
- CaltechAUTHORS:20091013-093452649
- National Natural Science Foundation of China
- National Basic Research Program of China
- Ministry of Education (China)
- Beijing Normal University
- Created
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2009-10-18Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field