混沌系统的时间延迟同步误差分析

ERROR ANALYSIS FOR DELAY SYNCHRONIZATION OF CHAOTIC SYSTEM

对Pecora和Carroll的混沌自同步方案的延迟同步误差进行了研究 .在计算机上对Lorenz混沌系统伪装的延迟同步误差进行了模拟 :给定系统参数 ,对应不同延迟时间 ,得出了均方误差与采样步长的关系曲线 ;给定系统参数和延迟时间 ,对应不同采样步长 ,得到了混沌时间序列的误差曲线 ;给定采样步长 ,对应不同的系统参数 ,获得了混沌时间序列的尺度效应和均方误差与采样步长的关系曲线 .提出了减小延迟同步误差的一些方法 。

We analyzed the delay synchronization errors in Pecora and Carroll's chaotic self-synchronizing scheme. The delay synchronization errors are simulated using the masking scheme of Lorenz chaotic system on computer. Given system parameters, the relational curves of the mean - square error vs sampling step length are presented for different delay time. Given system parameters and delay time, the error curves of chaotic time series are given for different sampling step lengths. Given sampling step lengths, the scale changes of chaotic time series are obtained for different system parameters. And given delay time, the relational curves of mean - square error vs sampling step length are shown for different system parameters. Then some ways of decreasing the delay synchronization errors are proposed. Some new results obtained in this paper are useful for practical applications of chaos synchronization and chaos control.