| Hopf分岔的一个数值算法 |
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| 引用本文： | 农绍宁.Hopf分岔的一个数值算法[J].科技导报(北京),2007,25(11):30-33. |
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| 作者姓名： | 农绍宁 |
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| 作者单位： | 中国工程物理研究院总体工程研究所 四川绵阳621900 |
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| 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。
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| 关 键 词： | 数值算法 Hopf分岔 |
| 文章编号： | 1000-7857（2007）11-0030-04 |
| 修稿时间： | 2006-12-20 |
A Numerical Algorithm for Hopf Bifurcation |
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| NONG Shaoning.A Numerical Algorithm for Hopf Bifurcation[J].Science & Technology Review,2007,25(11):30-33. |
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| Authors: | NONG Shaoning |
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| Institution: | Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621900, Sichuan Province, China |
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| Abstract: | 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. |
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| Keywords: | numerical calculation Hopf bifurcation |
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