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Energy demand-supply model fo Jiangsu-west and its dynamical analysis
江苏-西部能源需求-供给模型及其动力学分析

Keywords: Energy system,equilibrium point,Hopf bifurcation,chaos,Silnikov theorem,homoclinic orbit
能源系统
,平衡点,Hopf分叉,混沌,Silnikov定理,同宿轨

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Abstract:

This paper has established an energy demand-supply model for Jiangsu-West in accordance with the complicated relationship of mutual supports and constraints between the demand of Jiangsu energy, the import quantity of Jiangsu energy, and the energy supply of the western regions. The paper has also analyzed the dynamics behavior of the system in different states from equilibrium, periodicity, and bifurcation to chaos, etc. Based on the Silnikov theorem, by applying the undetermined coefficient method, we find homoclinic orbits of the energy system. It analytically demonstrates that the energy system has two homoclinic orbits of Silnikov type in two equilibrium points. The Silnikov theorem guarantees that the energy system has Smale horseshoes and the horseshoe chaos.

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