依据一个经济时期内节能减排、碳排放、经济增长和新能源的开发利用之间相互依存、相互制约的演化关系建立了一个新的四维节能减排动态演化模型,这是一类新的非线性微分系统,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;
利用线性反馈控制方法将四维节能减排系统的混沌态控制到原先不稳定的平衡点,给出了数值模拟结果,验证了理论分析的正确性.

This paper dealts with a new four-dimensional energy-saving and emission-reduction chaotic system. The system is established in accordance with the complicated rela-tionship between energy-saving and emission-reduction, carbon emission, economic growth and new energy development. The dynamics behavior of the system is analyzed by means of Lya- punov exponents and equilibrium points. Linear feedback control methods are used to suppress
chaos to unstable equilibrium. Numerical simulations show the effectiveness of the results.