中文说明：
基于非线性动力学、非线性控制理论、分岔理论等非线性科学的现代分析方法，对倍周期分岔、Hopf分岔等进行控制。
English Description：
Based on the modern analysis methods of nonlinear science such as nonlinear dynamics, nonlinear control theory and bifurcation theory, the period doubling bifurcation and Hopf bifurcation are controlled.