耦合混沌系统完全同步的直接方法研究

Research on a Direct Method for Complete Synchronization of Coupled Chaotic Systems

为减少耦合误差,简化耦合函数的选择过程,提出一种实现耦合混沌系统完全同步的直接方法.该方法不需将耦合误差系统进行近似的线性化处理,也不需要知道驱动系统状态变量的取值情况.只需根据驱动系统构造相应的耦合函数,然后利用Routh判据确定待定耦合参数.以著名Lorenz系统为例说明了该方法的有效性.

The problem of complete synchronization for a class of coupled chaotic systems is discussed. Realizing complete synchronization for coupled chaotic systems is associated not only with the coupling method, but also with the selection of coupling functions. Whether the stability criterion of linear systems with constant coefficients or the stability criterion of time-varying linear continuous systems＇is employed, the error systems should be processed in the linear method, thus making complete synchronization for coupled chaotic systems more difficult. In order to reduce coupling error, and to make the coupling process easier,a direct method for complete synchronization of coupled chaotic systems is proposed. This method does not need the approximation linear processing of the coupling error system, nor does it need to know the state variable range of the driving system. The coupling function constructed is only connected with the driving system, and the coupling parameters can be decided with Routh criterion. Experiments for Lorenz system demonstrate the effectiveness of this method.