【摘要】 在这篇文章中，作者用Ｍｅｌｎｉｋｏｖ函数方法分析了软弹簧型Ｄｕｆｆｉｎｇ方程［１］在摄动下异宿轨道破裂后稳定流形与不稳定流形的相对位置，给出了方程在不同摄动下分支出极限环的条件与极限环的位置·更多还原

【Abstract】 In this paper,the Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation after its heteroclinic orbits rupture as the result of a small perturbation.The conditions that limit circles are bifurcated are given,and then their stability and location is determined.更多还原