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具不变集的平面多项式系统
引用本文:卓相来 韩茂安. 具不变集的平面多项式系统[J]. 应用数学, 1998, 11(2): 77-80
作者姓名:卓相来 韩茂安
作者单位:山东矿业学院基础部!泰安,271019,上海交通大学数学系!上海,200030
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.

关 键 词:平面多项式系统  不变集  奇闭轨

On the Polynomial System in Plane with Invariant Set
Zhuo xianglai ,Han Maoan. On the Polynomial System in Plane with Invariant Set[J]. Mathematica Applicata, 1998, 11(2): 77-80
Authors:Zhuo xianglai   Han Maoan
Abstract: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.
Keywords:Polynomial system in plane  Invariant set  Singular closed orbit
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