一种新型的二级分段Logistic混沌映射及其性能分析  

Novel piecewise Logistic chaotic map with two levels and Its performance analysis

作　　者：李双鑫[1] 王驰[2] 李广喆[1] 张雪明[1] 岳丽娟[1] 

机构地区：[1]东北师范大学物理学院,吉林长春130024 [2]长春理工大学化学与环境工程学院,吉林长春130022

出　　处：《东北师大学报（自然科学版）》2013年第4期82-87,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10847110);吉林省自然科学基金资助项目(201115008)

摘　　要：针对传统Logistic混沌映射及其相关改进映射普遍存在初值迭代简单、满映射的参数区间窄、不动点等问题,提出了一种新型的二级分段Logistic混沌映射.对其性能进行了仿真分析,结果表明:该映射具备较宽的满映射参数区间和稳定的Lyapunov指数;其序列的初值敏感性、相关性等特性表现优良,可被更好地应用在信息保密及扩频通信等领域.Traditional Logistic chaotic map as well as its modified map commonly have the simple way of initial iteration, the narrow parameter interval of full map or the attractors. To solve these problems,a new piecewise Logistic chaotic map with two levels was proposed. Analysis and simulation from its perspective show that this chaotic map possesses broader parameter interval of full map and stable Lyapunov exponents, and its sequence could be better used in information security and spread spectrum communication fields for the good correlation and initial sensitivity.

关 键 词：混沌 LOGISTIC映射 LYAPUNOV指数 相关性 

分 类 号：O415[理学—理论物理]