Periodic synchronization in a system of coupled phase oscillators with attractive and repulsive interactions

被引:0
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作者
Di Yuan
Jun-Long Tian
Fang Lin
Dong-Wei Ma
Jing Zhang
Hai-Tao Cui
Yi Xiao
机构
[1] Anyang Normal University,School of Physics and Electrical Engineering
[2] Huazhong University of Science and Technology,School of Physics
来源
Frontiers of Physics | 2018年 / 13卷
关键词
generalized Kuramoto model; pinning force; conformists; contrarians; oscillating π state;
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摘要
In this study we investigate the collective behavior of the generalized Kuramoto model with an external pinning force in which oscillators with positive and negative coupling strengths are conformists and contrarians, respectively. We focus on a situation in which the natural frequencies of the oscillators follow a uniform probability density. By numerically simulating the model, it is shown that the model supports multistable synchronized states such as a traveling wave state, π state and periodic synchronous state: an oscillating π state. The oscillating π state may be characterized by the phase distribution oscillating in a confined region and the phase difference between conformists and contrarians oscillating around π periodically. In addition, we present the parameter space of the oscillating π state and traveling wave state of the model.
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