一类具时滞的能源价格模型的稳定性与Hopf分支  

Stability and Hopf Bifurcation for an Energy Price Model with Time Delay

作　　者：殷红燕[1] 刘晶晶[1] 周静[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2013年第4期107-110,共4页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：中央高校基本科研业务费专项资金资助项目(CZQ13016)

摘　　要：研究了一类具有时滞的能源价格模型的稳定性和Hopf分支的存在性.通过分析特征方程,得到了平衡点全时滞稳定的条件及Hopf分支存在的条件.同时,应用中心流形定理和规范型理论,得到了可以确定Hopf分支的方向和分支周期解的稳定性的计算公式.An energy price model with time delay is investigated, the stability of equilibrium and the existence of Hopf bifurcation is studied. By analyzing the corresponding characteristic equation, the conditions of complete delay stability of the equilibrium and the existence of Hopf bifurcation are obtained. At the same time, formulas are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the center manifold theorem and the normal form theory.

关 键 词：时滞 能源价格模型 平衡点 全时滞稳定性 HOPF分支 

分 类 号：O175[理学—数学]