一类平面齐奇次系统的局部拓扑结构

LOCAL TOPOLOGICAL STRUCTURE OF THE PLANE HOMOGENEOUS ODD DEGREE SYSTEM

本文讨论了Arnold问题中的平面齐奇次系统(其中d≠0,n为奇数)奇点(0,0)附近的拓扑结构,并给出由右端多项式系数的判断准则.

In this paper, we discuss the topological structure near the singular point (0, 0)of the plane homogeneous odd degree system (1) (where, d≠0, n is odd number)on the Arnold problem, and give criterion for the right-hand multinomial coefficient.