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线性对合下时间可逆与中心问题

杨静 杨鸣 陆征一

应用数学2021,Vol.34Issue(1):37-46,10.
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

杨静 1杨鸣 2陆征一1

作者信息

  • 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
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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