等变分歧问题的无穷小稳定开折  

Infinitesimally Stable Unfolding of Equivariant Bifurcation Problems

作　　者：彭白玉[1] 李养成[2] 

机构地区：[1]衡阳师范学院数学系,衡阳421008 [2]中南大学数学科学与计算技术学院,长沙410083

出　　处：《应用数学》2006年第4期702-706,共5页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10271023);湖南省自然科学基金资助项目(04JJ3072)

摘　　要：基于奇点理论中光滑函数芽的左右等价,本文讨论等变分歧问题开折的稳定性,刻画了有限型等变分歧问题的无穷小开折的稳定性,并指出这类分歧问题A(Γ)-通用开折必为无穷小稳定开折.Based on left-right equivalence of smooth map-germs in singularity theory, the present paper deals with the stability of unfolding of equivariant bifurcation problems. The infinitesimal stability of the unfolding of equivariant bifurcation problems of finite type is characterised. And the A（Г）-versal unfolding of such a bifurcation problem as mentioned above must be infinitesimally stable.

关 键 词：等变分歧问题 开折 无穷小稳定性 

分 类 号：O192[理学—数学]