复金兹伯格-朗道方程螺旋波外矢量场响应的数值模拟

Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation

针对反应扩散时序振荡系统螺旋波外力场响应缺乏定量化研究的情况,采用龙格-库塔算法对复金兹伯格-朗道方程螺旋波解的外均匀矢量场响应进行了数值模拟.发现在实均匀外矢量场作用下,螺旋波斑图中心不但沿外矢量场方向做匀速直线运动,速度为矢量场的场强,而且还具有沿垂直于外矢量场方向的速度分量,该速度分量是平行方向速度分量的4%.在外均匀虚矢量场的作用下,除了螺旋波斑图中心做匀速直线运动外,螺旋波斑图的臂沿外矢量场方向的一侧变密,而逆外矢量场方向的一侧变疏,其中形变随外均匀矢量场的强度增强而变大.

For lack of quantitative studies concerning the external force field effects on the spiral wave in oscillation reaction diffusion system, the solution of spiral wave in complex Ginzburg- Landau equation is simulated numerically with Runge-Kutta algorithm. For real uniform external vector field, it is found that the core of the spiral wave travels uniformly along the vector field with its velocity equal to the strength of the vector field, and a vertical component about 4% of the parallel component exists. The simulation shows that the core of the spiral wave moves uniformly along a straightly line under constant imaginary vector field. The arms of the spiral wave become close along the vector field and vice versa, in which the deformation of the spiral wave increases with the enlarging strength of the vector field.