摘要
基于奇点理论中的映射芽的左右等价关系,本文对等变分歧问题引入一种新的等价关系,提出了多参数等变分歧问题的开折关于该等价关系的无穷小稳定性的新概念,给出了多参数等变分歧问题的开折是无穷小稳定的充分必要条件.
Based on the left-right equivalence of smooth map-germs in singularity theory, the present paper introduces a new equivalence relation between equivariant bifurcation problems. The notion of infinitesimally stability of unfolding of multiparamter bifurcation problems with respect to the equivalence relation is posed. The necessary and sufficient condition for the infinitesimally stability of unfolding of multiparameter equivariant bifurcation problems is given.
出处
《湘南学院学报》
2004年第2期1-4,共4页
Journal of Xiangnan University
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10271023)andtheNaturalScienceFoundationofHunanProvince,China(No. 0 1JJY3 0 0 3 )
关键词
奇点理论
多参数等变分歧问题
A(r)等价
开折
映射芽
无穷小稳定性
equivariant bifurcation problem
unfolding
A(г)-equivalent
Infinitesimally stableMR(2000) Subject classification:58C27
