三次系统E_(3)^(1)存在二角形双曲线分界线环的充要条件

A necessary and sufficient condition of the existence of the two angle hyperbolic separatrix cycles for the cubic system E_(3)^(1)

得到了三次系统 E1 3存在二角形双曲线分界线环的充要条件 .并给出了它们的拓扑分类和各种拓扑结构的参数条件 .

A necessary and sufficient condition of the existence of the two angle hyperbolic separatrix cycles for the cubic system E 1 3 is obtained in this paper. And their topological structure classification and the parameter condition of the every topological structure are given.