含时滞的四维能源供需系统的稳定性分析  

Stability Analysis of the Four-dimensional Energy Demand-supply System with Time Delay

作　　者：邹杰涛 宋志超 杨坤一 ZOU Jie-tao;SONG Zhi-chao;YANG Kun-yi(College of Sciences,North China University of Technology,Beijing 100144,China)

机构地区：[1]北方工业大学理学院数学系,北京100144

出　　处：《数学的实践与认识》2021年第13期295-304,共10页Mathematics in Practice and Theory

摘　　要：考虑含时间延迟的四维能源供需系统,建立时滞系统,分析了系统平衡点的稳定性.利用中心流形定理和Poincare规范型方法,得到了 Hopf分支周期解的性质.数值模拟结果验证了理论的有效性.This paper considers a four-dimensional energy demand-supply system with a given time delay.Firstly,a four dimensional energy demand-supply system with the time delay has been established.The stability properties of the equilibrium point have been analyzed.By the center manifold theorem and normal form method,the explicit formulae have been obtained showing the properties of the periodic solutions of Hopf bifurcation.Numerical simulations illustrate effectiveness of our results.

关 键 词：能源供需系统 时间延迟 平衡点 HOPF分支 稳定性 

分 类 号：TK01[动力工程及工程热物理] O175[理学—数学]