基于超混沌系统自适应广义函数投影滞后同步的保密通信

本文研究了一种基于广义函数投影滞后同步的保密通信方案。广义函数投影滞后同步指的是驱动系统的输出滞后于响应系统，同时两者的输出信号比值是一个确定的函数比例矩阵。首先提出一种基于超混沌系统广义函数滞后同步的保密通信方案，在发送端，有用信号被调制到Lorenz-Stenflo (LS)系统的第四个状态变量上。基于自适应控制方法，设计了相应的控制器，使得Lorenz-Stenflo (LS)和L?超混沌系统渐进同步。最后，有用信号可以从输出端提取出来。数值仿真验证了该方案的有效性。

Secure communication based on adaptive generalized function projective lag synchronization of hyperchaotic system

In this paper, a secure communication scheme based on generalized function projective lag synchronization (GFPLS), where the output of the drive system proportionally lagging behind the output of the response system and ratio of the two systems is desired function scaling matrix, is introduced. Firstly, a secure communication scheme applying GFPLS of hyperchaotic system is proposed. The transmitted information signal is modulated into the fourth state variable of Lorenz-Stenflo (LS) in the transmitter. Based on the adaptive control technique, the controller is designed to make Lorenz-Stenflo (LS) and L?hyperchaotic systems asymptotically synchronized. Then, the useful signal can be recovered. Numerical simulations are provided to show the effectiveness of the scheme.