超混沌Qi系统的错位投影同步及其在保密通信中的应用

Dislocated projective synchronization of Qi hyper-chaotic system and its application to secure communication

提出了一种新型的混沌系统同步方法,即错位投影同步,要求驱动系统和响应系统中的所有状态向量,至少有一对不是按照原有的对应关系成比例同步,而是按照向量的错位关系成比例投影同步.以新型的四维超混沌Qi系统为例,分析出23种混沌系统的同步方案.针对其中一种同步,基于Lyapunov稳定性理论,设计有效的非线性控制器,实现初始值不同的两个超混沌Qi系统错位投影同步.另外,将该方法应用于混沌保密通信中,基于改进的混沌掩盖通信原理,在发送端使用超混沌信号对信息信号进行加密并发送,最后从同步后的接收端系统不失真地恢复出有用信号.数值仿真表明,该方案有着良好的通信和保密特性.

This paper focuses on a new type of dislocated projective synchronization,in which,the state variables of drive system and resporse system,at least one pair is required not to synchronize in proportion to the original corresponding state variable,but to realige the projective synchronization in proportion to dislocation relation of vectors.Here a new Qi hyperchaotic system is taken for example,which has 23 synchronized schemes.Using the Lyapunov stability theory,a nonlinear controller is presented and a kind of disorder projective synchronization for Qi system is successfully completed.Then this method is applied to secure communication through improved chaotic masking.The information signal is mixed with the chaotic signal before being transmitted,and is recovered without distortion through the synchronized receiver.Simulation results show that the scheme has a good performance.