Volume 87, Number 5, September 2009
|Number of page(s)||5|
|Published online||24 September 2009|
Synchronization of groups of coupled oscillators with sparse connections
Department of Physics and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Studies, Beijing Normal University - Beijing 100875, China
2 Center for Nonlinear Studies and Department of Physics, Hong Kong Baptist University - Hong Kong, China
3 Department of Physics, California Institute of Technology - Pasadena 91125, CA, USA
Corresponding author: firstname.lastname@example.org
Accepted: 31 August 2009
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.-k – Complex systems
© EPLA, 2009
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