【摘要】 本文讨论具有三中心的三次Hamilton扰动系统。无扰动系统具有两直线及椭圆解通过计算判定函数及利用平面向量分枝理论的某些结果,笔者给出了在一定条件下扰动系统的分枝与相图。更多还原

【Abstract】 The disturbed cubic Harniltonian system with three centers is discussed in this paper. Two straight lines and an ellipse are solutions of undisturbed differential equation. By computing detection functions and using some results of the bifurcation theory in planar vector fields, we have given bifurcations and phase portraits of the disturbed system.更多还原