【摘要】 本文考虑两类Hamilton扰动系统,应用文[1]的判定函数法,得到该系统的分枝与相同。所得结果与Hilbert第十六问题有关。文献[1]应用与张芷芬的定理及类似于的方法,讨论两参数平面Hamilton系统的分枝与相图,获得与Hilbert第十六问题有关的平面多项式系统的一些极限环分布。本文继续用文[1]的方法,讨论两类应用中常见的平面三次系统的分枝与相图。更多还原

【Abstract】 In this paper, two disturbed Hamiltonian Systems were considered. By using the method of detection functions in [1], we obtained the bifurcations and phase portraits of two disturbed Hamiltonian Systems. These results are-related to Hubert’s 16th problem.更多还原