摘要
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.
出处
《科技导报》
CAS
CSCD
2007年第11期30-33,共4页
Science & Technology Review
关键词
数值算法
HOPF分岔
numerical calculation
Hopf bifurcation
