【作者】 王艺； 王雪； 岑炳玲； 乔延峰； 薛郁；

【Author】 Wang Yi;Xue Yu;Wang Xue;Cen Bing-ling;Qiao Yan-feng;Institute of Physical Science and Technology, Guangxi University;Key Lab Relativist Astrophys;

【机构】 广西大学物理科学与工程技术学院；

【摘要】 本文建立了一个多层单向驱动的耦合振子系统,该系统由同步层与非同步层组成。同步层的振子由全局耦合的Kuramoto模型组成,非同步层考虑最近邻两振子同时与当前振子耦合的Kuramoto模型,由同步层的振子点对点单向驱动非同步层的振子。在该系统中,改变系统参数,发现了非同步层由于同步层的驱动从非同步状态转换到同步状态时会表现出行波态,并且得到了行波的波速。当驱动强度足够大时,非同步层的振子将会达到同步态,研究发现在一定参数范围内,两层振子之间会出现滞后同步现象,并且滞后时间与驱动强度之间会存在一种幂律关系。更多还原

【Abstract】 In this paper, we present a new multilayer one-way driven coupled oscillator system, which is composed of a synchronized layer and an asynchronous layer. The synchronized layer is composed of globally coupled Kuramoto model, and asynchronous layer consists of nearest-neighbor coupled oscillators which is coupled to the nearest two oscillators and then sinusoidally applied to the current oscillator. In this system, we find that the oscillators in the asynchronous layer experience a traveling wave state when they switch from an asynchronous state to a synchronized state. And we get the velocity of a traveling wave. When the synchronized state is achieved,the lag synchronization between the two layers is found, within a certain parameter range, there is a power-law relationship between the lag time and the coupling strength.更多还原