南京大学学报（自然科学版）2016，Vol.52Issue(5)：809-815,7.DOI:10.13232/j.cnki.jnju.2016.05.006
改进分段 Logistic混沌映射的方法及其性能分析
Method for improving piecewise Logistic chaotic map and its performance analysis
蔡丹 1季晓勇 1史贺 1潘家民2
作者信息
- 1. 南京大学电子科学与工程学院，南京，210023
- 2. 南京大学网络信息中心，南京，210093
- 折叠
摘要
Abstract
Logistic chaotic maps and Tent chaotic maps are widely applied in the field of the communication security . Tent chaotic maps have piecewise characteristics ;sowe can apply the piecewise features in Logistic chaotic mapsnaturally .The paperproposes a method that Logistic chaotic maps can be divided into three segments which are tangent each other(three‐segment and tangential piecewise Logistic chaotic maps ) .The method can avoid the process that Tent chaotic maps need to apply the stochastic perturbation ,and it also improves the randomness of Logistic chaotic maps ,which increases the complexity and anti‐attack capability of the chaotic system .Onbasis of the experiment ,the paper proves that three‐segment and tangential piecewise Logistic chaotic maps can enter into chaotic state earlier on the same interval ,and their trajectory are increasingly unstable when μis between 3 .57 and 4 .The Lyapunov exponent is positive and it increases gradually ,thus more complicated nonlinear equation improves the security of system .Under the same bifurcate criterion threshold ,the number of iterations is decreased dramatically when three‐segment and tangential piecewise Logistic chaotic maps enter into chaotic state .Therefore ,three‐segment and tangential piecewise Logistic chaotic sequences have better randomness and unpredictability .The experiment shows that three‐segment and tangential piecewise Logistic chaotic maps are initial‐value sensitivity ,so they will be widely applied in the field of information security .关键词
混沌/分段Logistic混沌映射/Tent映射/随机性Key words
chaos/piecewise logistic chaotic maps/tent chaotic maps/randomness分类
信息技术与安全科学引用本文复制引用
蔡丹,季晓勇,史贺,潘家民..改进分段 Logistic混沌映射的方法及其性能分析[J].南京大学学报（自然科学版）,2016,52(5):809-815,7.
