Analysis on Patterns of Globally Coupled Phase Oscillators with Attractive and Repulsive Interactions

被引：0
|
作者：
王鹏飞 [1 ,2 ]
阮晓东 [2 ]
许忠斌 [1 ]
付新 [2 ]
机构：
[1] College of Chemical and Biological Engineering,Zhejiang University
[2] State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University
来源：
CommunicationsinTheoreticalPhysics | 2015年 / 64卷 / 11期
基金：
中国博士后科学基金;
关键词：
phase oscillator; HS model; pattern;
D O I：
暂无
中图分类号：
TN752 [振荡器];
学科分类号：
摘要：
The Hong-Strogatz(HS) model of globally coupled phase oscillators with attractive and repulsive interactions reflects the fact that each individual(oscillator) has its own attitude(attractive or repulsive) to the same environment(mean Seld).Previous studies on HS model focused mainly on the stable states on Ott-Antonsen(OA)manifold.In this paper,the eigenvalues of the Jacobi matrix of each fixed point in HS model are explicitly derived,with the aim to understand the local dynamics around each fixed point.Phase transitions are described according to reJative population and coupling strength.Besides,the dynamics off OA manifold is studied.
引用
收藏
页码：507 / 514
页数：8
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