一类以抛物线为特殊积分曲线的二次系统的全局相图  

THE GLOBAL PHASE DIAGRAM OF A KIND OF QUADRATIC DIFFERENTIAL SYSTEM TAKING A PARABOLA AS SPCEICAL INTEGRAL CURVE

作　　者：庄瑜[1] 沙玉英[1] 

机构地区：[1]山东矿业学院基础部

出　　处：《山东矿业学院学报》1993年第3期294-301,共8页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：山东省自然科学基金资助课题

摘　　要：本文在作者的“一类以抛物线为特殊积分曲线的二次系统存在极限环的必要条件”一文的基础上进一步研究,确定了在各种情形下有限奇点和无穷远奇点的拓扑性质,给出了该系统若存在极限环时的全局相图。Based on the author′s paper″ The necessary condition for the existence of the limit cycles of a kind of quadratic differential system taking a parabola as specical integral curve″, we determine the topological property of the finite and infinite singular points in different circumstances and derive its global ohase diagram if this system has limit cycles.

关 键 词：二次系统 极限环 相图 奇点 抛物线 

分 类 号：O175[理学—数学]