homoclinic

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The existence of a homoclinic orbit for a singular second order planar Hamiltonian systemis 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。
It is shown that the numbers of both periodic orbits and homoclinc orbits bifurcated from this kind of homoclinic orbits depend heavily on the strength of the inclination flip.
主要结论为这类系统在分支出一个同宿轨的同时所能分支出的周期轨的个数也依赖于倾斜翻转的强度。
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 second section is concerned with the number of zeros of the Abelian integrals for a cubic Hamiltonian system with double homoclinic orbit under -order perturbations.
第二章讨论了具有双同宿轨的三次Hamilton系统在一类次多项式扰动下的Abel积分零点个数。
A numerical approximate method to get the Melnikov function value is proposed in this paper. The propsed method is used to get the homoclinic orbit solution of the actual power system model, the solu-tion till now have not been get by other method .
本文在电力系统浑沈现象的研究方面，做了二项新工作，第一，根据电力系统模型的特点，首次提出了求取电力系统浑沌模型Melnikov函数的数值近似法，解决了无法求得实际电力系统模型中同宿轨道解析式的困难，并由此推导出了在电力系统中产生浑沌现象的解析条件；
Liu X .B.‚ Fu X.L.‚ Zhu D.M.‚homoclinic bifurcation with nonhyperbolic equilibria‚ Nonlinear analysis‚ Theory‚ Methods &Applications‚Volume 66‚ Issue 12‚ 2653-2982 ‚2007.
刘兴波‚朱德明.;伴随超临界分支的非通有同宿轨道分支‚高校应用数学学报‚‚2004‚19(4)‚401-408

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