分段Logistic混沌映射及其性能分析

Piecewise Logistic Chaotic Map and Its Performance Analysis

分析了具有逐段线性特性的Tent混沌映射和其推广形式:分段Tent混沌映射在计算机有限精度影响下的性能.在此基础上,根据Logistic混沌映射与Tent混沌映射之间具有的拓扑共轭关系,研究了Logistic混沌映射的推广形式:分段Logistic混沌映射,通过实验分析指出用类似于分段Tent混沌映射的方式来定义分段Logistic混沌映射是不可取的.本文构造了一个全新的分段Logistic混沌映射,通过实验对该映射产生的序列的随机性、初值敏感性等性质进行了研究.结果表明,本文定义的分段Logistic混沌映射产生的序列具有良好的随机性和初值敏感性.

For Tent map, which has piecewise-liner characteristic,and its expand form： piecewise Tent map,the performances 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 define piecewise Logistic map using the similarly way to define piecewise Tent map. In this paper, we structure a brannew definition of piecewise Logistic map,and study the sequence＇ s properties generated by this chaos map,such as randomness and initial-value sensitivity.Simulation results show that the sequences generated by piecewise Logistic map is randomness and initialvalue sensitivity.