标题:
具有幂零奇点三维系统的二次规范型及普适开折Quadratic Normal Forms and Universal Unfoldings of Three-Dimensional Systems with Nilpotent Singular Points
作者:
谢旦旦, 张娜娜
关键字:
三维系统, 幂零奇点, 二次多项式, 规范型, 普适开折Three-Dimensional System, Nilpotent Singular Point, Quadratic Polynomial, Normal Form, Universal Unfolding
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.4, 2016-11-18
摘要:
本文对三维动力系统中三类具有幂零奇点的微分方程进行了讨论和分析,通过规范型理论得出了含有二次多项式的规范型,再利用坐标平移得出了它们的普适开折。
In this paper, for three-dimensional dynamic systems, we discuss and analyze three classes of eq-uations which have nilpotent singular points. The normal forms of quadratic polynomials are ob-tained by normal formal theory. Then, the universal unfoldings are obtained by using coordinate translation.