两种标准下一类平面动力系统极限环的数值计算

通过引入网函数的概念定义了平面动力系统中极限环数值解的概念,然后以van der Pol方程对应的平面系统为例,使用四阶Runge—Kutta方法建立其方程组的数值解法,并以此为基础建立了极限环的数值解法．特别地,引入范数估计和流量估计两种距离标准,从几何直观性和实际意义两个角度刻画了迭代精度．特定参数取值的算例证明了该方法的有效性．

Computation of Limit Circles for Certain Plane Dynamic System Via Two Metrics

The concept of computational solution for limit circles is defined with the introduction of the concept of net function,subsequently,with the van der Pol equation taken as an example,the computational solution for the set of equations is established via the Runge-Kutta method,at the basis of which,the computational solution for the limit circles is constructed afterwards.Especially,the metrics of norm estimation and flow estimation are introduced,so that the iterative precision of the computational solution...