等变两参数分歧问题的开折

The Unfoldings of Equivariant Two-Parameter Bifurcation Problems

在ｕ－等价群作用的情形下对等变两参数分歧问题（其中参数均取向量值）的开折进行研究，得到一个分歧问题的某个开折是通用开折的充要条件，也给出了一个开折可由另一个开折导出的充要条件等结论．

Under the action of equivariant U-equivalent group, the unfoldings of equivariant bifurcation problems with two-parameters (here the parameters are vector variables) are studied. The main results include the necessary and sufficient condition that a unfolding is a versal unfolding, and the necessary and sufficient condition that a unfolding is factor through another unfolding of the same equivariant two-parameters bifurcation problems.