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Synchronization Dynamics in a System of Multiple Interacting Populations of Phase Oscillators |
| JU Ping, YANG Jun-Zhong** |
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
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| Cite this article: |
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JU Ping, YANG Jun-Zhong 2015 Chin. Phys. Lett. 32 030502 |
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Abstract We study the synchronization dynamics in a system of multiple interacting populations of phase oscillators. Using the dimensionality-reduction technique of Ott and Antonsen, we explore different types of synchronization dynamics when the incoherent state becomes unstable. We find that the inter-population coupling is crucial to the synchronization. When the intra-population interaction is repulsive, the local synchronization can still be maintained through the inter-population coupling. For attractive inter-population coupling, the local order parameters in different populations are of in-phase while the local synchronization are of anti-phase for repulsive inter-population coupling.
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Published: 26 February 2015
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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89.75.Fb
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(Structures and organization in complex systems)
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05.90.+m
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(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
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