非对称ERCS离散混沌系统及其性能分析  

Performance Analysis of Asymmetric Elliptic Reflecting Cavity Discrete Chaotic System

作　　者：池宜航 李奎 陈丹妮[3] CHI Yi-hang;LI Kui;CHEN Dan-ni(State Key Laboratory of Geo-information Engineering,Xi'an 710054,China;Xi'an Research Institute of Surveying and Map-ping,Xi'an 710054,China;75839Troops,Guangzhou510000,China)

机构地区：[1]地理信息工程国家重点实验室,陕西西安710054 [2]西安测绘研究所,陕西西安710054 [3]75839部队,广东广州510000

出　　处：《电脑知识与技术》2018年第11期225-227,260,共4页Computer Knowledge and Technology

摘　　要：该文构建了一种非对称椭圆反射腔(ERCS)离散混沌系统。首先建立了非对称ERCS系统的几何模型,并对系统的演化进程进行了详细描述。然后,对其产生的一维离散混沌序列的概率分布、李雅普诺夫指数等性能参数进行了计算分析。相比标准ERCS系统,该文构建的非对称ERCS系统从几何模型上不具备中心对称结构和上下对称结构,因此可从根本上克服标准ERCS系统中存在周期解的缺陷。In this work, a novel discrete chaotic system bearing the name of asymmetric elliptic reflecting cavity system (ERCS) is proposed. We first build geometric model of the asymmetric ERCS and describe the evolutionary process. Then, evolution process, probability distribution and Lyapunov exponent of the pseudo-random sequence produced by the system are calculated and ana-lyzed. Compared with TD-ERCS for which the tangent-delay operation is dispensable, the asymmetric ERCS has similar perfor-mance, while provides a simple way to generate pseudo-random sequence.

关 键 词：非对称 椭圆反射腔(ERCS) 演化过程 概率分布 李雅普诺夫指数 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]