Uniqueness of limit cycles in codimension two bifurcations

被引:0
作者
韩茂安
机构
[1] Department of Mathematics
[2] Shandong Mine Institute
[3] Tai'an
[4] China
关键词
uniqueness; limit cycle; heteroclinic loop;
D O I
暂无
中图分类号
O153.3 [环论];
学科分类号
070104 ;
摘要
<正> Consider a three-dimensional autonomous system of the form of =f(u), u∈R3, (0.1) where f(0)=0, and Df(0)=. By transforming eq. (0.1) into a normal form equation and then unfolding the truncated equation, one can obtain a plane system of the form of
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收藏
页码:1766 / 1771
页数:6
相关论文
共 2 条
[1]  
High order Melnikov functions and the problem of uniformity in global bifurcation[J] . Zhang Zhi-Fen,Li Bao-Yi.Annali di Matematica Pura ed Applicata . 1992 (1)
[2]  
On the versality of a family of symmetric vector fields in the plane, Math .2 Zholondek,K. USSR-Sb . 1984