Synchronization Dynamics in a System of Multiple Interacting Populations of Phase Oscillators

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-popu...

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Published inChinese physics letters Vol. 32; no. 3; pp. 17 - 20
Main Author 鞠萍 杨俊忠
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing 01.03.2015
Subjects
Coupling
Dynamic tests
Dynamical systems
Dynamics
Oscillators
Populations
Synchronism
Synchronization
一阶
交互
动力学
同步
振荡器
相互作用
群体系统
还原技术
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/32/3/030502

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Summary: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.
Bibliography:11-1959/O4
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.
JU Ping, YANG Jun-Zhong（School of Science, Beijing University of Posts and Telecommunications, Beijing 100876）
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/3/030502