等变分歧问题的无穷小稳定开折被引量：4

Infinitesimally Stable Unfolding of Equivariant Bifurcation Problems

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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.

作者彭白玉李养成

机构地区衡阳师范学院数学系中南大学数学科学与计算技术学院

出处《应用数学》 CSCD 北大核心 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)

关键词等变分歧问题开折无穷小稳定性 Equivariant bifurcation problem Unfolding Infinitesimal stability

分类号 O192 [理学—基础数学]

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参考文献6

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