摘要
文章给出判定多项式系统焦点的一种方法.考察了解析系统周期环和凸曲线的相关性质,结合多项式系统在奇点附近的解曲线的相对曲率以及判定参数曲线全局凸的结果,给出了判定奇点类型的方法.
In this paper,a method for determining the focus point of the polynomial system is given.The properties of periodic ring of analytic system and convex curve are investigated.Based on the relative curvature of the solution curve of the polynomial system near the the singular point and the result of identifying the global convexity of the parametric curve,a new method to determine the type of singularities is proposed.
作者
郅俊海
陈玉福
ZHI Junhai;CHEN Yufu(Beijing Wuzi University,Beijing 101149;University of Chinese Academy of Sciences,Beijing 100040)
出处
《系统科学与数学》
CSCD
北大核心
2021年第10期2977-2986,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金项目(11271363)
北京市教委科技计划一般项目(KM202010037003)资助课题。
关键词
解析系统
周期环
相对曲率
奇点
Analytic system
periodic ring
the relative curvature
the singular point
