Finally we use obtained normal form and universal unfolding to discuss codimension 3 degenerate bifurcations of nonlinear dynamical system.
最后利用所得到的规范形和普适开折讨论了非线性动力系统的余维3退化分叉。
In the present paper, we mainly study the codimension reduction problems for submanifolds with parallel unit mean curvature vector in a sphere.
本文将着重研究更为一般的具有平行单位平均曲率向量子流形的有关几何问题。
A formula of calculating the largest intrinsic ideals in a class of ideals of finite codimension in local bifurcation problems with one state variable is given.