杜芬方程的仿真分析及混沌控制

Simulation and Chaotic Control of Duffing-Equation

为实现对系统的有效控制,针对杜芬方程在特定参数设置下所出现的混沌现象及其特性,提出了基于参数微扰和变量反馈的控制方法,这种方法能对混沌系统进行有效的控制,通过调节反馈系数k,就能得到新的运动轨迹.理论分析和系统仿真结果均表明该控制方法的可行性,得出了混沌特性被抑制或最终得到周期解的效果.

In order to realize the system control, a control method is proposed based on parameter perturbation and variable feedback control,with the special parameters set and the emergence of chaos and its characteristics of the Duffing-equation. This feedback control is effective for the system to receive a new trajectory changing through paramenter k. Both the theoretical analysis and the simulation results prove the feasibility of the conmethod with the results of inhibited chao characteristics or cycle achievement.