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.
本文给出单状态变量的局部分岔问题中一类具有有限余维数的理想中最大内蕴理想的计算公式并且得到关于内蕴理想的两个充分必要条件。
Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2.
高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式。
Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2.
高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式。
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