具有四次代数曲线解的二次系统的拓扑结构

TOPOLOGY OF TWO SYSTEMS WHICH HAS FOUR ALGEBRAIC CURVE SOLUTION

本文研究一类具有四次代数曲线解的二次系统在有代数极限环、代数分界线环、代数叶彦谦分界线环的条件下轨线的拓扑结构.得到的结论是;轨线的拓扑结构至多有12种.

This paper deals with the topology of the orbital line of two systems which has four algebraie curve solution under the conditions of the algebraic limit ring, algebraic separatrix ring, algebraic Ye Yan Qian's separatrix ring. The result showed that the topology of the orbital line has at least twelve kinds.