中文摘要：

基于奇点理论中光滑映射芽的接触等价,讨论多参数等变分歧问题关于接触等价的开折的唯一性和稳定性.将这种等变分歧问题的状态变量分为两组,其中一组的诸状态变量可以独立地变化,而属于另一组的诸状态变量在变化过程中依赖于前一组中的诸状态变量.得出了在接触等价下,满足一定条件的等变分歧问题的万有开折是唯一的,并且给出了一定条件下等变分歧问题开折稳定的一个充要条件.

英文摘要：

Based on the contact equivalence of smooth map-germs in singularity theory,the uniqueness and stability of unfoldings of multiparameter equivariant bifurction problems with respect to contact equivalence are discussed.The state variables of such an equivariant bifurcation problem are divided into two groups,in which the first can vary independently,while the other depends on the the first.It is obtained that the universal unfolding of an equivariant bifurcation problem is unique under certain conditions.The...