摘要
运用分支的方法 ,通过分析未扰系统的同宿轨和周期轨在扰动破裂以后的分支情况 ,研究了一类Duffing方程 x =y , y =x -x3 +δy +γxy的极限环的存在性问题 。
In this paper, we studied the existence problems of limit cycles of a class of Duffing equation =y,[AKy·D]=x+δy+γxy. The bifurcation method was used to analyze the bifurcation after the homoclinic and periodic orbit of the unperturbed system was perturbed to break. The conditions were given to ensure the generation of limit cycles.
基金
国家自然科学基金资助项目 (10 0 710 2 2 )
