具时滞能源价格模型的动力学性质
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引用本文:吕堂红,周林华.具时滞能源价格模型的动力学性质[J].经济数学,2012,(4):15-19
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作者单位
吕堂红,周林华 (长春理工大学 理学院吉林 长春130022) 
中文摘要:以滞量τ为分支参数,研究了具时滞的能源价格模型的动力学行为,这些行为包括:系统在平衡点附近的稳定性,局部Hopf分支的存在性,发生条件Hopf分支的方向,分支周期解的稳定性以及分支随参数变化其周期解的周期变化.最后通过数值模拟验证了理论分析结果,并用分支理论解释了能源价格模型产生且维持周期振荡的原因.
中文关键词:能源价格模型  时滞  Hopf分支  稳定性  周期解.
 
Dynamics of Energy Price Model with Time Delay
Abstract:This paper studied the dynamic behaviors of energy Price Model with the time delay as bifurcation parameter. These dynamic behaviors include the stability near the equilibrium, the existence of the local Hopf bifurcation, the direction of the Hopf bifurcation, the stability of the periodic solution, and so no. At last, some simulations were carried out to support our theory findings, and some explanations were given about why the energy Price Model would generate periodic oscillations.
keywords:energy price model  delay  hopf bifurcation  stability  periodic solution
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