【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.更多还原

【Abstract】 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(Γ)-versal unfolding of such a bifurcation problem as mentioned above must be infinitesimally stable.更多还原