二维相移耦合振子系统斑图的缺陷效应

Defects Effects of Pattern Formation in a Two-dimensional Array of Oscillators with Phase-shifted Coupling

考察了在考虑不同阻挫时,极限环振子耦合系统的斑图动力学行为.每个极限环振子只与其最近邻的4个振子相互作用.螺旋波斑图,湍流和西洋棋盘斑图等都被观察到.我们使耦合系统中极大部分都以相同的相移,其中随机选择少量的耦合以不同的相移,称之为缺陷.当没有缺陷时,整个二维系统呈现出来的是螺旋波斑图结构,当随机改变其中的较少的联接属性(相移)时,就会出现靶波,当缺陷进一步增加时,靶波又会消失,这是个渐变的过程.

Pattern formations in a two-dimensional array of coupled limited-cycle oscillators with phase shift coupling are discussed.Each oscillator is allowed to interact with its nearest neighbors.The system exhibits various patterns including spiral-waves with phase-randomized cores,and turbulence and checkerboard pattern,etc.Target waves were investigated in the system of heterogeneous media with different phase shift with most of other oscillators.Impurities induced target waves were found.