Research On Dynamic Behavior And Its Mechanism Of Two Kinds Of Energy Systems

Energy is not only the foundation ofpeople’s livelihood, but also an important guarantee for the steady growth of the national economy. However, the rapid economic growth, especially the economic growth mode of high energy consumption will inevitably lead to energy shortage or unable to supply required production.In turn,this energy shortage will restrain economic growth.In addition, the extensiveeconomic growth mode will cause environmental pollution and other issues.Therefore, it is particularly important to correctly handle the relationship between energy supply and demand, environment and economic growth.Above all, this paper argues that the supply and demand of energy is not a simple linear relationship according to energy sources in the context of the actual supply.Further we give the four-dimensional energy supply system. These four variables are energy deficit, increase amount of energy supply, energy imports and sustainable energyrespectively. By numerical simulation find that the system will appears strange wave phenomenon when2b(the impact factor of import energy in the A region to the speed about B region provide A region energy) fluctuating within a small range and other parameters remain unchanged.Then, taking into account this strange wave is a sign before chaos, which imply that if the strange wave does not appear, chaotic form of the energy system will not appear. Given it has special significance, this paper researchesthe mechanism of the energy strange wave. And then we design adaptive controller to control the occurrence of energy strange wave using Lyapunov stability theory.Finally, in the view of excessive carbon emissions will lead to environmental pollution, economic downturn and other issues etc. This paper analysis three dimensional energy-saving and carton-reduction system’s stability and bifurcation. In addition, oscillation behavior of the system is found, and the mechanism isexplained.