混沌系统的广义错位修正函数投影同步

首先介绍混沌系统的广义错位修正函数投影同步原理.然后根据驱动系统和响应系统维数的3种大小关系,选取驱动系统和响应系统,并根据Lyapunov稳定性方法构造响应系统的自适应控制器,实现驱动系统和受控响应系统的广义错位修正函数投影同步,数值仿真的结果表明了自适应控制器的正确性和有效性.最后计算广义错位修正函数投影同步混沌时间序列的近似熵,得出这样的同步混沌时间序列的复杂度更高,能够提高保密通信和图像加密的安全性.

Generalized Dislocated Modified Functional Projective Synchronization of Chaotic Systems

Firstly, the principle of generalized dislocated modified functional projective synchronization for the chaotic systems is introduced. Then, according to the three dimension sizes of the drive system and the response system, the drive system and the response system are selected. Adaptive controllers of the response systems are constructed according to the Lyapunov stability method to realize generalized dislocated modified functional projective synchronization of the drive systems and the response systems. The results of numerical simulation show that the adaptive controllers are correct and effective. Finally, the approximate entropy of chaotic time series about generalized dislocated modified functional projective synchronization is calculated, which demonstrates that the complexity of such synchronous chaotic time series is higher, thus improving the security of secure communication and image encryption.