一类拟三次系统的广义焦点量、等时中心与极限环分支  

The Generalized Focal Values,Isochronous Centers and Bifurcation of Limit Cycle for a class of Quasi-cubic Systems

作　　者：李时敏[1] 

机构地区：[1]滁州学院数学系,安徽滁州239000

出　　处：《贵州大学学报（自然科学版）》2008年第6期554-557,共4页Journal of Guizhou University:Natural Sciences

摘　　要：本文给出了一类拟三次系统的前6个奇点量和可积性条件,由此统一解决了几类实平面微分自治系统的初等奇点、高次奇点以及无穷远点的中心焦点判定、等时中心与极限环分支问题.In this paper,the first six singular point quantities and integrability condition for a class of quasi cubic systems are obtained, for some kinds of real planar autonomous differential systems, the problems of center-focus determination、isochronous center and bifurcation of limit cycles for elementary critical point, high critical point and infinite point are solved.

关 键 词：拟三次系统 广义焦点量 可积性 等时中心 周期常数 极限环 

分 类 号：O175.12[理学—数学]