混沌时间序列性态的应用改进  

The improvement of chaotic time series' quality

作　　者：孙百瑜[1] 高俊山[1] 

机构地区：[1]哈尔滨理工大学计算机与控制学院,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2005年第4期303-306,共4页Electric Machines and Control

基　　金：黑龙江省自然科学基金(F0320)

摘　　要：由非线性映射产生的混沌时间序列存在着序列点出现频率不平均的特性,如不改进难于应用在诸如信息保密等领域。针对由Logistic映射产生的混沌时间序列,依据动力学分析方法,提出了改进过程与实现算法。改进后的序列,频率的平均度得到了提高。提出了对三次自映射函数族的构造算法,并可产生与传统Logistic序列性质不同的混沌时间序列。In this paper, we point out some disadvantages such as being centralized of the frequency of the chaotic series which can influence the chaotic series application in some fields, for example Cryptography. After analyzing Logistic map, we have provided two improving algorithms. Applying the algorithm to chaotic encryption system can improve the frequency' s equilibration. We provide a new technique to constructing a family of Logistic map and get a new chaotic time series be differ from the traditional Logistic chaotic series.

关 键 词：混沌时间序列 LOGISTIC映射 频率 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]