分段Logistic混沌映射及其性能分析.pdf

4 Vol. 37 No.4 20094 ACTA ELECTRONICA SINICA Apr. 2009 Logistic 1 1, 2 范九伦 , 张雪锋 (1 , 710071; 2 , 710061) : Tent : Tent ., Logistic Tent ,Logistic :Logistic , Tent Logistic .Logistic , ., Logistic . : ; Tent ; Logsitic ; ; : TN91442 : A : (2009) Piecewise Logistic Chaotic Map and Its Performance Analysis 1 1,2 FAN Jiulun ,Z ANG Xuefeng ( 1School of Electronic Engineering, Xidian University , Shaanxi Xi an 710071, China; 2Dep artment of Inf ormation and Control, Xi an Institute of Posts and elecommunications, ShaanxiXi an 710061, China) Abstract : For Tent map,which haspiecewiseliner characteristic, and its expand form: piecewiseTent map,theperformances under computer finite precision are analyzed. Based on the fact, considering the topologically conjugate relationship between Tent map and Logistic map,piecewise Logistic map, an expanded form of Logistic map is researched. It is pointed out that it is not a good way to definepiecewise Logistic map usingthe similarly way to define piecewiseTent map. In this paper, we structure a bran new definition of piecewise Logistic map,and study the sequence s properties generated by this chaosmap,such as randomness and initialvalue sensitivity. Simulation results show that the sequences generated by piecewise Logistic map is randomness and initial value sensitivity. Key words: chaos;Tent map;Logistic map;piecewise;randomness , 1