具不变集的平面多项式系统

On the Polynomial System in Plane with Invariant Set

本文证明了以y＝xm为不变集的平面n次多项式系统（m＞n）不会有极限环，但可以存在奇闭轨．

N-order polynomial system in plane with y=xm as its invariant set was studied, and that no limit cycle there was proved and the existence of singular closed orbit was also obtained.