Local and Global Bifurcations With Nonhyperbolic Equilibria

被引：0
|
作者：
孙建华
罗定军
机构：
[1] PRC
[2] Nanjing 210008
[3] Nanjing University
[4] Department of Mathematics
来源：
Science China Mathematics | 1994年 / 05期
基金：
中国国家自然科学基金;
关键词：
nonhyperbolic equilibrium; heteroclinic bifurcation; singularity theory; Melnikov function;
D O I：
暂无
中图分类号：
O182 [解析几何];
学科分类号：
0701 ; 070101 ;
摘要：
The normal forms of coupling functions governing local and global bifurcations are studied for a generic (d+1) -parameter family of three-dimensional systems with a heteroclinic orbit connecting a hyperbolic saddle and a nonhyperbolic equilibrium occurring in the saddle-node,transcritical and pitchfork bifurcations,respectively.Singularity theory and a version of Melnikov function are used in this paper.
引用
收藏
页码：523 / 534
页数：12
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