基于新四翼混沌系统的复杂网络的混沌同步及其在保密通信中的应用

摘要

Taking the complex network as the background,and based on the Lyapunov stability theory,this paper firstly studies the asymptotic synchronization of globally coupled network,for which a new four-wing chaotic system is a node.Secondly,as a node,the four-wing chaotic system is applied to secure communication by chaos cover.Thirdly,Gaussian noise is added to cause noise interference,and the signal will be de-noised by wavelet analysis theory.Lastly,the result of numerical calculation with Matlab demonstrates that useful signals will be restored well after the wavelet threshold de-noising.%以复杂网络为背景,根据Lyapunov稳定性理论,首先研究了以一个新四翼混沌系统为节点的全局耦合网络的渐近同步问题;其次,将四翼混沌系统作为网络节点,用混沌遮掩的方法将其应用到保密通信中;再次,通过加入高斯白噪声对系统进行噪声干扰,并用小波分析理论对信号进行去噪处理;最后用Matlab进行数值仿真表明,经过小波阈值去噪后,有用信号可以很好地恢复出来.