一类四次多项式系统原点的极限环分支  

The Bifurcation of Limit Cycles for a Quartic Polynomial System

作　　者：卢景苹[1] 

机构地区：[1]广西民族师范学院数学与计算机科学系,广西崇左532200

出　　处：《广西科学》2013年第2期85-87,共3页Guangxi Sciences

基　　金：国家自然科学基金项目(10961011);广西教育厅高校科研项目(201204LX482)资助

摘　　要：给出一类四次多项式系统原点的前8个奇点量,由奇点量导出焦点量,得到该系统原点成为8阶细焦点的条件,证明该系统从原点可以分支出8个极限环.The bifurcation of limit cycles from a weak focal is investigated for a quartic polynomial system. The first 8 singular point values are given at the origin of system,and the focal values can be derived from the singular points, then the conditions that the origin is an 8-order weak focal is obtained. Finally, it is proved that this system has 8 limit cycles in the neighborhood of the origin.

关 键 词：四次多项式系统 奇点量 焦点量 极限环 

分 类 号：O175.12[理学—数学]