Abstract
This paper reports a new four‐dimensional energy‐saving and emission‐reduction chaotic system. The system is obtained in accordance with the complicated relationship between energy saving and emission reduction, carbon emission, economic growth, and new energy development. The dynamics behavior of the system will be analyzed by means of Lyapunov exponents and equilibrium points. Linear feedback control methods are used to suppress chaos to unstable equilibrium. Numerical simulations are presented to show these results.
Highlights
Since energy saving and emission reduction is the most effective way to control carbon emissions, how to promote energy saving and emission reduction is becoming the hot topic of academic research
Feng et al 1 conducted a research on the long-run equilibrium relationships, temporal dynamic relationships, and causal relationships between energy consumption structure, economic structure, and energy intensity in China
We can figure out the affecting factors for energy intensity and grasp the statistical results which meet the real situation
Summary
Since energy saving and emission reduction is the most effective way to control carbon emissions, how to promote energy saving and emission reduction is becoming the hot topic of academic research. Compared with the previous researches, this study was undertaken from continuous dynamic equation, making clear the quantitative relationships among the concerning variables It brought energy saving and emission reduction, carbon emissions, economic growth, and new energy development into a nonlinear dynamics system with the analysis of the relationship between the variables and their influence on energy intensity. While most previous studies focused on scenario analysis, Fang et al established a three-dimensional system in accordance with the complicated relationship between energy saving and emission reduction, carbon emissions and economic growth. This system displays a very complex phenomenon and contains a special chaotic attractor named the energy-saving and emission-reduction attractor, which is different from the previous chaotic attractor, such as Lorenz attractor , Chen attractor , Luattractor , Energy resource attractor 18–20 , and so forth.
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