3个耦合Rssler系统的全局同步及其新的混沌加密方法  

Global Chaos Synchronization of Three Coupled Rssler Systems and Its Novel Method of Chaos Encryption

作　　者：安新磊[1] 张建刚[1] 张明旺[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《河北师范大学学报（自然科学版）》2012年第1期27-31,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11161027);甘肃省自然科学基金(1010RJZA066;1010RJZA067)

摘　　要：以Lyapunov稳定性理论为基础,针对非扩散Rssler系统研究了3个耦合的恒等系统的全局同步问题.通过选取适当的耦合参数,使得3个系统的耦合参数达到同步.基于混沌遮掩的方法,利用3个耦合的恒等系统,提出了1种二次加密方法,在前2个耦合系统中加密后,利用后2个耦合系统再一次加密.仿真结果表明,3个耦合的恒等系统很快同步,应用于保密通信中达到了掩盖有用信号的目的,并且无失真地恢复出了有用信号.Based on Lyapunov stabilization theorem,considering the diffusionless Rssler system,a global chaos synchronization scheme of three coupled identical systems is investigated.By choosing proper coupling parameters,the states of all the three systems can be synchronized.Then this method is applied to secure communication through chaotic masking.Using three coupled identical system,a novel method of chaos encryption is proposed.After encrypting in the first two coupled systems.Encryption is done again in the later two coupled systems.Simulation results show that the method can realize monotonous synchronization.Further more,the information signal can be recovered undistorted when applying this method to secure communication.

关 键 词：非扩散Rssler系统 耦合同步 保密通信 混沌加密 

分 类 号：O413[理学—理论物理]