线性对合下时间可逆与中心问题  

The Center Problems and Time-Reversibility with Respect to a Linear Involution

作　　者：杨静 杨鸣 陆征一 YANG Jing;YANG Ming;LU Zhengyi(Chengdu Institute of Computer Application,Chinese Academy of Sciences,Chengdu 610041,China;University of Chinese Academy of Sciences,Beijing 100049,China;School of Mathematical Sciences,Sichuan Normal University,Chengdu 610068,China)

机构地区：[1]中国科学院成都计算机应用研究所,四川成都610041 [2]中国科学院大学,北京100049 [3]四川师范大学数学科学学院,四川成都610068

出　　处：《应用数学》2021年第1期37-46,共10页Mathematica Applicata

基　　金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (20115134110001)。

摘　　要：本文研究一类实平面二次多项式微分系统时间可逆性与中心的问题,得到此系统关于线性对合时间可逆的充要条件.此条件保证系统在原点处是一个关于直线对称的中心.In this paper,the relationship between time-reversibility and the center of a planar quadratic polynomial system in R~2 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 

分 类 号：O175.12[理学—数学]