非均匀介质中螺旋波在负反馈作用下的演化

摘要

利用FitzHugh-Nagumo模型研究了非均匀介质中产生的螺旋波在反馈作用影响下的演化.在非均匀介质系统产生稳定的螺旋波后加入反馈作用,发现当反馈强度较小时,反馈作用使得螺旋波的波纹宽窄发生改变;当增加反馈强度时螺旋波的中心首先被打碎,随着时间变化螺旋波消失,之后出现一种新的稳定斑图,另一方面,在反馈作用区域较小时,螺旋波从中心打碎到形成另一种稳定的斑图所需的时间较长;在反馈作用较大时,螺旋波在较强的反馈作用下会迅速的被打破.%In this paper, we investigated the evolution of spiral wave in inhomogeneous medium under feedback interaction with FitzHugh-Nagumo model. It is found that the pattern of the system was changed, when the feedback interaction is appear after the stable spiral emerged in the system. While the intensity of feedback interaction is lower,the feedback interaction made the width of spiral wave narrow;increasing the intensity, the center of spiral wave was broken, and the spiral wave vanished, finally, the system was stable displaying a new pattern. On the other hand,the area of feedback interacted is small,and it is spend long time to break the spiral wave;While the intensity of feedback is high,the spiral wave was broken quickly.