CAJ | 학술논문

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.
기우절연지적타원반사강계통(TD-ERCS)시일류위혼돈가밀이설계적혼돈계통,수연기구유전역혼돈등우량적가밀특성,단TD-ERCS포함대량적가능도치약밀약적단주기궤도,대저사단주기궤도진행공솔보분석여Lyapunov계산,발현m=0시주기궤도시은정적,m≥1시주기궤도시불은정적,차저충불은정성불의뢰삼수μ적선취,절연지조작사득TD-ERCS계통종유서주향혼돈,표명TD-ERCS재혼돈가밀중불회존재은정적단주기궤도소도치적약밀약.
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.