一种改进的分段Logistic映射及其性能分析  

An improved piecewise Logistic map and its performance analysis

作　　者：卫超[1] 孙爱晶[1] 范九伦[1] 

机构地区：[1]西安邮电大学通信与信息工程学院,陕西西安710121

出　　处：《西安邮电学院学报》2012年第5期52-56,共5页Journal of Xi'an Institute of Posts and Telecommunications

摘　　要：在分析Logistic映射基本特性的基础上,提出了一种改进的分段Logistic映射,对这两种映射的倍周期分叉、自相关性和互相关性分别进行了实验分析和比较。结果表明,改进的分段Logistic映射改善了Logistic映射的性能,在系统参数取值变化时保持了良好的遍历性,而且拥有更大的密钥空间和更好的安全性。研究结果为Lo-gistic映射在保密技术中的进一步应用开辟了更为广阔的前景。On the basis of analysis of basic features of Logistic mapping,an improved piecewise Logistic map is proposed.The mapping of the period doubling bifurcation and the autocorrelation and cross correlation of the experimental are analyzed and compared.The results show that the improved piecewise Logistic map improved the performance of Logistic map,and maintained a good ergodicity in the system parameter values change.Moreover,it offers a larger key space and better security.Results are promising for further application of Logistic mapping in security technology.

关 键 词：混沌系统 LOGISTIC映射 分段Logistic映射 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]