TD-ERCS混沌系统的几个短周期轨道及其稳定性  

Several short periodic trajectories of TD-ERCS and their stabilities

作　　者：贾伟尧[1] 盛利元[2] 陈亚丽[3] 

机构地区：[1]西南大学物理科学与技术学院,重庆400715 [2]中南大学物理科学与技术学院,长沙410083 [3]漯河职业技术学院机电工程系,河南漯河462002

出　　处：《计算机应用》2010年第3期680-684,共5页journal of Computer Applications

基　　金：国家自然科学基金资助项目(60672041);西南大学基本科研业务费专项资金资助项目(XDJK2009C029)

摘　　要：基于切延迟的椭圆反射腔系统(TD-ERCS)是一类为混沌加密而设计的混沌系统,虽然其具有全域混沌等优良的加密特性,但TD-ERCS包含大量的可能导致弱密钥的短周期轨道,对这些短周期轨道进行功率谱分析与Lyapunov计算,发现m=0时周期轨道是稳定的,m≥1时周期轨道是不稳定的,且这种不稳定性不依赖参数μ的选取,切延迟操作使得TD-ERCS系统从有序走向混沌,表明TD-ERCS在混沌加密中不会存在稳定的短周期轨道所导致的弱密钥。TD-ERCS is a class of chaotic system designed for chaos encryption.Though it has good encryption properties such as being chaotic in all fields for encryption,Tangent-Delay Ellipse Reflecting Cavity map System（TD-ERCS）is comprises of quite a lot of short cycling trajectories,which may lead to weak keys.Power spectrum analysis and Lyapunov calculation of the periodic trajectories indicated that the periodic trajectories were stable under tangent-delay operation m=0 and instable under tangent-delay operation m≥1.And the instability was independent of parameter μ,TD-ERCS tended from order to chaos under tangent-delay operation.The results show that TD-ERCS does not have weak keys caused by the stable short-period Trajectories.

关 键 词：混沌加密 基于切延迟的椭圆反射腔系统 周期轨道 稳定性 

分 类 号：TP309[自动化与计算机技术—计算机系统结构] O192[自动化与计算机技术—计算机科学与技术]