高阶奇点 meaning in English

point of higher singularity

It is shown that the origin is indeed a critical point of higher order . there exsist different kinds of topological structures in a neighborhood of the origin
原点是一个高阶奇点，在它的邻域内存在多种拓扑结构。
By the way , there is something deserves to be mentioned : by means of transcritical bifurcation , we get a special type of critical point
值得一提的是，为了完整地得到系统的全局拓扑结构，本文利用跨临界分支定理得到了一种特殊的高阶奇点类型，即复杂奇点及复杂奇点。
In this paper , we discuss a certain plane quartic system with stellar node : in study , we obtain the global phase portraits of the system , its corresponding algebraic conditions and some results about its structural stability
至今为止，对系统( 0 1 )的比较系统的研究成果基本上还是空白，这主要因为系统的未知参量过多，利用高阶奇点理论研究系统全局结构十分困难。