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

页码：523 / 534

页数：12

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