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一类具有高阶奇点的三次系统
引用本文:冯崇廉,韩玉良. 一类具有高阶奇点的三次系统[J]. 高师理科学刊, 1992, 0(4)
作者姓名:冯崇廉  韩玉良
作者单位:绥化师范专科学校(冯崇廉),绥化师范专科学校(韩玉良)
摘    要:本文研究了具有一个有限远奇点和一个无穷远奇点的一类三次系统.给出了极限环存在性或不存在性的一些条件,证明了如果极限环存在,则一定是集中分布的,并作出了系统无初等奇点时的全局相图.

关 键 词:高阶奇点  极限环

A Kind of Cubic System with Higher Order Singular Points
Feng Chonglian Han Yuliang. A Kind of Cubic System with Higher Order Singular Points[J]. Journal of Science of Teachers'College and University, 1992, 0(4)
Authors:Feng Chonglian Han Yuliang
Affiliation:Suihua Teachers Training College
Abstract:In this paper is studied a kind of cubic system with a limitlessly distant singular point and an infinitely distant singular point; are given some conditions of the existence and non-existence of limit cycle; is proved that if there exist limit cycles, they must be concentratedly distributed, and the whole phase is drawn when the system has no primary singular point.
Keywords:Higher order singular point Limit cycle  
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