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政府调控下的能源供需系统动力学分析
引用本文:王明刚,廖为鲲,许华,生志荣.政府调控下的能源供需系统动力学分析[J].数学的实践与认识,2013,43(8).
作者姓名:王明刚  廖为鲲  许华  生志荣
作者单位:1. 南京师范大学泰州学院,江苏泰州,225300
2. 泰州职业技术学院基础科学部,江苏泰州,225300
基金项目:南京师范大学泰州学院重点项目,泰州市科技支撑计划项目,江苏省软科学项目
摘    要:依据一个经济时期内能源需求、能源供应和政府调控之间相互依存、相互制约的演化关系为背景建立了一个新的能源供需模型.模型中引入市场自身调节的闽值,政府调控的阈值,政府调控对能源需求和能源供应的影响系数等参数,通过参数的调整,分析了政府调控在能源供需中的作用.通过平衡点稳定性、系统的耗散性、Lyapunov指数谱等的分析,研究了系统的基本动力学行为,利用数值模拟的方法给出了系统的动力演化行为;给出了模型中参数估计的方式,对模型所反映的现实意义进行了解释,给出了数值模拟结果,验证了理论分析的正确性.

关 键 词:能源供需  调控  混沌  平衡点  数值模拟

Energy Demand-Supply Model with Government Regulation and Its Dynamical Analysis
WANG Ming-gang , LIAO Wei-kun , XU Hua , SHENG Zhi-rong.Energy Demand-Supply Model with Government Regulation and Its Dynamical Analysis[J].Mathematics in Practice and Theory,2013,43(8).
Authors:WANG Ming-gang  LIAO Wei-kun  XU Hua  SHENG Zhi-rong
Abstract:This paper reports a new three-dimensional energy demand-supply chaotic system. The system is obtained in accordance with the complicated relationship between energy demands,energy supply and government regulation.The inflexion of market self-regulation, The inflexion of government regulation,the coefficient of government regulation to energy demand and energy supply were introduced in the model.The role of government regulation in the energy supply and demand was analyzed through the adjustment of the parameters. The dynamics behavior of the system will be analyzed by means of Lyapunov exponents and equilibrium points.Numerical simulations are presented to show these results.The method of the parameters estimation was given.Finally,the practical significance of the model to reflect was explained.
Keywords:energy resource  government regulation  chaos  equilibrium  numerical simulation
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