Hopf分叉后周期解的延续算法

北京大学学报（自然科学版）

Hopf分叉后周期解的延续算法

包燕刚,武际可

北京大学力学系，北京，100871

收稿日期:1994-09-05 出版日期:1995-09-20 发布日期:1995-09-20

Continuation Method for Periodic Solution after Hopf Bifurcation

BAO Yangang, WU Jike

Department of Mechanics, Peking University, Beijing, 100871

Received:1994-09-05 Online:1995-09-20 Published:1995-09-20

摘要/Abstract

摘要： 讨论了求解非线性系统dx/dt＝F(x, λ)Hopf分叉后周期解的各种方法，改进了文献[2]中提出的方法，并给出了vanderPol方程的数值解。

关键词: Hopf分叉, 延续算法, 极限环

Abstract: In this article Various kinds of methods about the solution of nonlinear system dx/dt＝F(x, λ) after the Hopf Bifurcation are discussed. We improve the method metioned in reference [2] and give the numerical solution of the van der Pol equations.

Key words: Hopf bifurcation, continuation methods, limit circle

中图分类号:

包燕刚,武际可. Hopf分叉后周期解的延续算法[J]. 北京大学学报（自然科学版）.

BAO Yangang,WU Jike. Continuation Method for Periodic Solution after Hopf Bifurcation[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.