中文摘要：

本文在Greenberg-Hastings激发介质元胞自动机模型规则网格基础上施加位置扰动,以此模拟激发介质中激发元之间相互作用距离的改变。计算机数值模拟结果表明：对于在规则网格下产生的稳定螺旋波,施加位置扰动后发现,螺旋波斑图的稳定性与元胞位置扰动的幅度有关,不同幅度的元胞位置扰动导致稳定螺旋波发生两种不同的变化：漫游后形成新的稳定螺旋波;漫游后从系统中消失。通过波头运动轨迹和系统激发比率的变化来简要分析产生这些现象的原因。

英文摘要：

Based on the Greenberg-Hastings cellular automata model, the effect of the position perturbation for the spiral waves in excitable media is studied. The amplitude of the position perturbation represents the interaction distance between cells. The computer simulation results show that the position perturbations with different amplitudes are added into the system after the stable spiral wave is formed, and the stability of spiral wave meanders is related to the range of the position perturbation of the cells. Different ranges of the position perturbation will result in two different changes of the stable waves. New stable waves are formed or disappeared after meanders. The two types meandering behavior are observed, and the mechanism underlying these phenomena are analyzed.