一类带有三次项的平面五次微分系统的全局拓扑结构分析  

Global Topological Structure Analysis of a Class of the Plane Five Order Differential System with Three Entries

作　　者：程雪梅[1] 

机构地区：[1]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《数学的实践与认识》2014年第7期239-242,共4页Mathematics in Practice and Theory

基　　金：山东省自然科学基金(ZR2011AL008)

摘　　要：一类带有三次项的平面五次微分系统在Poincare变换下可以讨论系统的无穷远奇点的性质,进而得到奇点附近轨线的拓扑结构,并利用判断函数给出极限环存在与否的条件,补充完善了五次系统的定性分析.The plane five order differential systems with three entries discuss the nature of the infinity singular points by Poincare transformation, and then get the topological structure of the singular points near the rail line, and give the conditions of existence of limit cycles by using judgment function, complete the qualitative analysis of the five systems.

关 键 词：不稳定结点 极限环 全局拓扑结构 

分 类 号：O175[理学—数学]