可激发系统及其对应时空斑图综述

可激发介质的时空动力学研究一直是非线性研究领域的热点.由于其在很多实际系统中广泛存在,相关的研究结果有着重要的应用价值.当外界刺激或扰动低于激发阈值时,可激发系统会很快回到稳定态;当外界刺激超过阈值时,系统将远离定态,做弛豫振荡.在可激发系统的研究中,大部分集中在可激发系统产生的螺旋波斑图方面.螺旋波斑图是一种普遍存在于自然界中的时空斑图,物理、化学、生物体系中都存在这种动力学形式(大都是可激发系统).在实际系统中螺旋波的产生和破碎大都是有害的.比如,螺旋波是产生心动过速的主要原因,螺旋波的破碎对应着心颤(房颤、室颤)等严重的生理疾病.开展对螺旋波的动力学特征、产生和控制的方法研究非常有意义.本文对以上几个问题进行总结归纳,希望对研究者有所帮助.

A Brief Review of Excitable Systems and Corresponding Pattern Formation

The spatiotemporal dynamics of excitable media has long been a hot topic in nonlinear physics.Because of its widespread in realistic systems,relative research results are of great importance in many application areas.By definition,the excitable media can be "excited" by external stimulation which is over the threshold value,meaning the excited excitable media will execute an immediate large excursion followed by a return to the original stable state.Most studies focus on the pattern formation of spiral waves,which can be observed in many practical systems such as physical,chemical,and biological systems.The birth and broken of spiral waves in real system are usually harmful.Spiral waves can bring Sychnosphygmia in the heart,and the broken of spiral waves will cause cardiac fibrillation.The studies of its dynamics,the birth and control methods of spiral waves in excitable media are all of great significance.This present paper will give a simple summary of the above problems,and we hope it's helpful for researchers