激发介质中螺旋波的波尖运动

THE MOTION OF SPIRAL TIP IN EXCITABLE MEDIA *

讨论二维激发介质中螺旋波的运动规律，用摄动法将螺旋波的波前运动分成切向和法向两部分，得到了相应的切向运动方程和法向运动方程．当考虑波尖时，得到波尖运动的基本规律以及扭曲环和长扭曲链的波尖轨迹．当考虑波前及其扰动时，不仅得到普通螺旋波，而且可解释超螺旋波和双螺旋波的结构．

Abstract We have studied the motion law of spiral waves in two dimensional excitable media. The motion of the wave front of spiral waves is divided into two parts, i.e., those along the tangent and the normal directions, and the motion equations in the two directions are obtained with the help of the perburbation method. When these equations are used to analyse the spiral tip, the basic motion law of the spiral tip and the structures of twisted rings and long twisted chains are obtained. When these equations are used to analyses the wave front and its disturbance, the result not only shows ordinary spiral shapes but also explains the super spiral and the double spiral structures.