Time delayed differential equation model and its dynamic analysis for energy price
1.Nonlinear Scientific Research Center,Jiangsu University,Zhenjiang,Jiangsu 212013,China;2.School of International Education,Xuchang University,Xuchang,He′nan 461000,China
Abstract: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.
田立新, 钱和平. 能源价格的时滞微分方程模型及动力学分析[J]. 江苏大学学报(自然科学版), 2010, 31(2): 240-244.
Tian Lixin, Qian Heping. Time delayed differential equation model and its dynamic analysis for energy price[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2010, 31(2): 240-244.