南京航空航天大学学报（英文版）2021，Vol.38Issue(6)：967-974,8.
事件空间中广义Birkhoffian系统的组合梯度表示及其稳定性分析
Combined Gradient Representations for Generalized Birkhoffian Systems in Event Space and Its Stability Analysis
摘要
Abstract
The combined gradient representations for generalized Birkhoffian systems in event space are studied.Firstly,the definitions of six kinds of combined gradient systems and corresponding differential equations are given.Secondly,the conditions under which generalized Birkhoffian systems become combined gradient systems are obtained.Finally,the characteristics of combined gradient systems are used to study the stability of generalized Birkhoffian systems in event space.Seven examples are given to illustrate the results.关键词
广义Birkhoffian系统/事件空间/组合梯度系统/稳定性Key words
generalized Birkhoffian system/event space/combined gradient systems/stability分类
数理科学引用本文复制引用
王嘉航,鲍四元..事件空间中广义Birkhoffian系统的组合梯度表示及其稳定性分析[J].南京航空航天大学学报（英文版）,2021,38(6):967-974,8.基金项目
This work was supported by the Na-tional Natural Science Foundation of China(No.11972241),the Natural Science Foundation of Jiangsu Province(No.BK20191454),and the Scientific Research Foundation of Suzhou University of Science and Technology(No.XKZ2017005).In addition,we would like to thank pro-fessor ZHANG Yi for his helpful suggestions in the research of this paper. （No.11972241）
