具不变集的平面多项式系统  

On the Polynomial System in Plane with Invariant Set

作　　者：卓相来[1] 韩茂安[2] 

机构地区：[1]山东矿业学院基础部,泰安271019 [2]上海交通大学数学系,上海200030

出　　处：《应用数学》1998年第2期77-80,共4页Mathematica Applicata

摘　　要：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.

关 键 词：平面多项式系统 不变集 奇闭轨 定性理论 

分 类 号：O175.12[理学—数学]