循环竞争博弈的线性控制

Linear Control Research of Cycle Competition Game

研究了最近邻空间循环竞争博弈对应的反应扩散方程及其控制动力学,通过相应的数值模拟,得到常参量控制和单变量线性控制的结果,针对各种螺旋波漂移现象,由数值计算得到螺旋波波头的漂移轨迹,以及平均漂移速率的时间曲线,并进一步拟合得出整个漂移过程的平均速率随控制参量变化的函数。

In this paper, the corresponding reaction- diffusion equation and control dynamics of the nearest- neighborspace cyclical competition game was studied. Through the corresponding numerical simulation, the results of constant parameter control and the linear single-variable control were got. To the variety of spiral wave drifting phenomenon, the trajectory of the spiral wave drifting and the average drifting velocity distribution over time were obtained through the numerical calculation, further the fitted function of average velocity changing with control parameters in the whole drift process was got.