同宿轨道(homoclinic orbit)是指一条连续动态系统将平衡鞍点连接到自身的轨迹。简单地说，同宿轨道存在于稳定于平衡点的稳定支路与非稳定支路的交点。
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limit homoclinic orbit 极限同宿轨
positive homoclinic orbit 正同宿轨
hyperbolic homoclinic orbit 双曲同宿轨道
saddle node homoclinic orbit 鞍结同宿轨道
homoclinic c orbit 同宿轨道
homoclinic-like orbit 类同宿轨道
The second section is concerned with the number of zeros of the Abelian integrals for a cubic Hamiltonian system with double homoclinic orbit under 2n + 1 -order perturbations.
第二章讨论了具有双同宿轨的三次Hamilton系统在一类2n+1次多项式扰动下的Abel积分零点个数。
参考来源 - 几类多项式系统的极限环分支·2,447,543篇论文数据，部分数据来源于NoteExpress
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。
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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