应用数学2021,Vol.34Issue(1):37-46,10.
线性对合下时间可逆与中心问题
The Center Problems and Time-Reversibility with Resp ect to a Linear Involution
摘要
Abstract
In this paper, the relationship between time-reversibility and the center of a planar quadratic polynomial system in R2 is considered. The necessary and sufficient conditions for the system to be time-reversible w.r.t. a linear involution are obtained. These conditions guarantee that the system has a center at the origin which is symmetric w.r.t. a straight line.关键词
多项式微分系统/时间可逆性/线性对合/中心Key words
Polynomial differential system/Time-reversibility/Linear involution/Center分类
数理科学引用本文复制引用
杨静,杨鸣,陆征一..线性对合下时间可逆与中心问题[J].应用数学,2021,34(1):37-46,10.基金项目
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education(20115134110001) (20115134110001)