Logistic二维多峰曲线现象研究  

Research on the Phenomenon of Logistic Two Dimension Multi-Peak Curves

作　　者：张洪斌[1] 程乐[1] 徐义晗[1] 

机构地区：[1]淮安信息职业技术学院计算机科学与工程系,江苏淮安223003

出　　处：《微电子学与计算机》2011年第5期53-57,共5页Microelectronics & Computer

基　　金：国家自然科学基金项目(70671025);江苏省自然科学基金项目(SBK200921319)

摘　　要：通过研究Logistic混沌映射动力系统性态特征,发现由Logistic混沌序列值通过固定间隔标记的二维空间中的点,具有沿某种"规律多峰曲线"随机分布的现象,即形成"Logistic多峰曲线图象"(Logistic Multi-Peak Curves Image).针对这一现象展开深入研究,得到了一系列关于"Logistic多峰曲线"(Logistic Multi-Peak Curves)的性态特征和Logistic混沌序列值标记的二维点在其上分布的特性.得到如下规律:Logistic多峰曲线图象在保留了Logistic动力系统遍历性、伪随机性的同时,还具有自身可控性、稳定性和对称性等特性.By studying the behavior of Logistic map,it has been found that the points which have been located by Logistic Chaotic Series will distribute on some kinds of law curve.This paper summarizes a series of properties on the Phenomenon and characteristics of Logistic Multi-Peak Curves.This paper proves that Logistic Multi Peak Curves Image has ergodicity,pseudo-randomness,controltablility,stability and symmetry and so on.

关 键 词：LOGISTIC混沌映射 LOGISTIC混沌序列 Logistic多峰曲线 Logistic多峰曲线图像 

分 类 号：TN914.42[电子电信—通信与信息系统]