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一类带有15阶结点的平面五次系统的定性分析
引用本文:程雪梅.一类带有15阶结点的平面五次系统的定性分析[J].数学的实践与认识,2010,40(13).
作者姓名:程雪梅
摘    要:讨论一类带有一个15阶结点的平面五次多项式系统的全局结构,利用Poincare变换得到系统的奇点性质,并给出极限环存在的若干条件.

关 键 词:五次系统  结点  极限环

Qualitative Analysis of a Kind of Plane Fifth-Degree System with Fifteenth-Order Node Point
CHENG Xue-mei.Qualitative Analysis of a Kind of Plane Fifth-Degree System with Fifteenth-Order Node Point[J].Mathematics in Practice and Theory,2010,40(13).
Authors:CHENG Xue-mei
Abstract:In this paper qualitative analysis of a kind of plane fifth-degree system with fifteenth-order node point is discussed.Use poincare-transformation to get the signal points properties and some limit cycle existence certain conditions of the system.
Keywords:fifth-degree system  node point  limit cycle
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