摘要
研究自治广义Birkhoff系统的三重组合梯度系统表示.首先,给出了4类三重组合梯度系统的定义和微分方程.其次,给出了自治广义Birkhoff系统成为三重组合梯度系统的条件.最后,利用三重组合梯度系统的性质来研究自治广义Birkhoff系统解的稳定性.文末举例说明结果的应用.
This paper has explored triple combined gradient system representations for autonomous generalized Birkhoffian systems. The definitions and differential equations of triple composite gradient systems have been given. The conditions which autonomous generalized Birkhoffian system become triple composite gradient systems have been obtained .The characteristic of triple composite gradient systems can be used to study the stability of autonomous generalized Birkhoffian system. Four examples have been given to illustrate the application of the results.
作者
王嘉航
张毅
WANG Jia-hang;ZHANG Yi(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China;College of Civil and Transportation Engineering,Hohai University,Nanjing 210098,China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第3期497-502,共6页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11272227)
苏州科技大学科研基金(XKZ2017005)
