The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods.

用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性。

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The bifurcation method was used to analyze the distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbated system was perturbated to break.

运用分支方法，分析了未扰系统的同宿轨破裂以后稳定流形和不稳定流形之间的距离。

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The bifurcation method was used to analyze the distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbated system was perturbated to break.

运用分支方法，分析了未扰系统的同宿轨破裂以后稳定流形和不稳定流形之间的距离。

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