%0 Journal Article
%T The Bifurcation of Limit Cycle for a Class of Cubic System with Two Imaginary Invariant Line<br>一类具有二虚不变直线的三次系统的极限环与分支
%A XIE Xiang-Dong
%A CHEN Feng-De
%A <br>谢向东
%A 陈凤德
%J 数学物理学报(A辑)
%D 2005
%I 
%X This paper considers the bifurcation of limit cycle of a class of cubic system with two imaginary invariant line, and  gives the focus valus of each order at O(0,0). It is proved that the system with δlmn=0  has at most one limit cycle surrounding O. With the bifurcation theory, the authors  give the bifurcation curve of homoclinic cycle and semistable cycle. It means that the system has at  most two limit cycles surrounding O
%K Invariant line
%K Cubic system
%K Bifurcation
%K Limit cycle
%K Uniqueness<br>不变直线
%K 三次系统
%K 分支
%K 极限环
%K 唯一性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=FB96033FF42B072C&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=E158A972A605785F&sid=E49BED2EA9A8956B&eid=6313C162FF75889A&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=3&reference_num=10