能源价格的时滞微分方程模型及动力学分析  

Time delayed differential equation model and its dynamic analysis for energy price

作　　者：田立新[1] 钱和平[2] 

机构地区：[1]江苏大学非线性科学研究中心,江苏镇江212013 [2]许昌学院国际教育学院,河南许昌461000

出　　处：《江苏大学学报（自然科学版）》2010年第2期240-244,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(90610031)

摘　　要：在传统的蛛网模型以及价格理论的基础上,从能源经济系统运作的实际出发,建立了一个符合能源经济现实的能源价格调节的非线性时滞微分系统,其中能源需求函数是非线性函数,能源供给函数是线性函数.利用主项分析法和Hopf分支理论对系统的平衡点进行分析,通过调节参数使系统处于局部稳定或者出现周期震荡,给出了能源均衡价格局部稳定性条件和出现Hopf分支的条件,得出能源经济系统的相关结论.On the basis of traditional cobweb model and price theory and from practice of the operation of the energy economic system,a nonlinear time delayed differential system for energy price adjustment is established,with energy demand function as nonlinear function and energy supply function as linear function.Applying the main monomial analysis method and Hopf bifurcation theory to analyzing the equilibriumpoint of the system,the locally stable or periodically oscillations by adjusting parameters are found.The conditions,under which the equilibrium point is locally stable or Hopf bifurcation occurs,are given.The relevant conclusions for energy economic system are reached.

关 键 词：非线性 时滞 平衡点 主项分析法 HOPF分支 

分 类 号：N93[自然科学总论]