(Ⅰ)类平面二次多项式系统的同宿分支问题(英文)

The Problems of Homoclinic Bifurcation for Type(Ⅰ) Planar Quadratic Polynomial Systems

通过分析未扰系统的同宿轨被扰动破裂以后的同宿分支情况 ,研究了 (Ⅰ )型平面二次多项式系统极限环的存在性问题 .给出了系统至少存在一个极限环的一般条件。

By analyzing the homoclinic bifurcation after the homoclinic orbit of the unperturbed system was perturbed to break,the existence problems of limit cycles for the type(Ⅰ) planar quadratic polynomial system was studied.A general condition was given to ensure the perturbed system has at least one limit cycle.