讨论平面系统.x=A(x,y)y,·↑y=B(x,y)y在满足非退化条件A^2(0,0)+B^2(0,0)≠0时,在平衡流形y=0附近轨线的拓扑结构,并对平衡流形y=0上的点附近的一类向量场进行局部分类.
In this paper,by studying the topological structure of the planar system =A(x,y)y,·↑y=B(x,y)y,the local classification of vector fields near the equilibrium manifold y=0 for the non-degenerated case A^2(0,0)+B^2(0,0)≠0 is obtained.