Duffing系统的同步控制方法

摘要

给出了一种Duffing系统的混沌同步控制方法。通过引入待定的控制项,将驱动系统和响应系统的混沌同步问题转化为讨论与其对应的线性系统的0解渐近稳定性问题,然后根据线性系统控制理论确定控制项,以实现两混沌系统的同步,最后用Mathematica软件进行了数值仿真,理论分析和仿真结果都表明了该方法的有效性。%This paper presented a method of chaos synchronization of Duffing systems.The method transformed the synchronization problems into the asymptotic stability questions of the 0 solution of the linear systems,and then gave the control variable according to the control theory of linear system.Lastly,the mathematical software was used,both theoretical analysis and simulation results proved the effectiveness of this method.