利用白噪声实现混沌系统线性广义同步的研究

Linear generalized synchronization of chaotic systems by using white noise

给定一个混沌驱动系统和同步函数,通过服从白噪声分布的单向耦合,构造出混沌响应系统,使之与驱动系统达到线性广义同步化.研究发现,利用满足一定条件的白噪声可以实现驱动-响应系统的线性广义同步.以Chua电路为例进行了数值仿真,其结果与理论计算相一致.

Given a chaotic drive system and the synchronization function, a response system was developed to implement linear generalized synchronization （GS） to the drive system. The method proposed here mainly utilizes the unidirectional coupling determined by white noise distribution. It is analytically proved that GS could be realized by using the white noise that satisfies certain conditions. In addition, the Chua＇ s circuit was taken for illustration and verification.