在特定条件下，用Runge-Kutta数值法求解平面自治系统标准Hopf分岔方程这一类非线性常微分方程时，出现与理论解不符合的情况。列举了几种算例下出现的这一情况，针对该问题，给出一个改进的数值算法，得到更精确的解。

The numerical results are not consistent with the theoretical ones when solving the Hopf bifurcation problems of planar autonomous system by means of Runger-Kutta method on certain conditions. In this paper, several examples of this problem are discussed. Finally, a new method is proposed to solve this problem and the validity of the method is demonstrated.