一类五次Hamilton系统平面相图的拓扑分类

The Topological Classification of Plane Phase Diagram of a Class of Quintic Ha miltonian System

该文研究一类五次的哈密顿系统 .通过对其系数的分析、计算给出它所有可能的平面相图的拓扑类型 .从而为对它们的扰动系统的研究提供条件 .

This paper studies a class of quintic Hamiltonian system. By analysising and calculating the coefficients of the system, we obtain all topological types of the phase portraits to the system, which will be useful to study its perturbed system later.