摘要
运用分支方法,通过分析未扰系统的同宿轨在破裂以后稳定流形和不稳定流形之间的相对距离,研究了一类三次微分系统的极限环的存在性问题,给出了至少产生一个极限环的条件.
In this paper,by using the bifurcation method to analyze the relative distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbed system is perturbed to break,the author studies the existing problem of limit cycles of a class of planar cubic systems,and gives the existence conditions of limit cycles.
出处
《商丘师范学院学报》
CAS
2011年第6期15-17,共3页
Journal of Shangqiu Normal University
基金
河南省自然科学基金资助项目(09212210121)
关键词
同宿轨
分支
极限环
homoclinic orbit
bifurcation
limit cycle
