新能源约束下的五维能源供需超混沌系统

Five-dimensional energy demand-supply hyper-chaos system with new energy

基于非线性动力学理论将新能源纳入四维能源供需系统,构造具有新能源约束的五维能源供需系统.讨论了五维能源系统的动力学行为以及系统中参数和方程增加扰动项后的混沌吸引子, Lyapunov指数谱图和分岔图.研究结果表明,该五维能源供需系统是超混沌系统;增加扰动项后五维能源供需系统会出现更复杂的混沌现象.这说明新能源的发展打破了能源市场中消费结构和供需系统的平衡,从理论上阐述了新能源的发展对实际能源市场产生紊乱的现象.

In order to study the impact of the development of new energy on the energy supply-demand system,this paper incorporates new energy into the four-dimensional energy demand-supply system and constructs a new five-dimensional energy demand-supply system with new energy constraints, based on the nonlinear dynamics theory. This paper not only analyzes the dynamic behaviors of the five-dimensional energy system,but also investigates the chaotic attractor, Lyapunov exponents and bifurcation diagrams with disturbances of parameters and equations in the new five-dimensional energy demand-supply system. The results show that the new system is a hyper-chaos system and the hyper-chaos system with the disturbances can become a more complex chaotic phenomenon. It indicates that the development of new energy can destroy the balance of consumption structures and demand-supply systems in the energy market. Therefore, the phenomenon of energy market disruption could be caused by the development of new energy in theory.