摘要
针对一维Logistic映射的非线性混沌动力学特性进行了分析,并提出一种混沌伪随机序列的统计特性改进算法,以求取得比一般随机数构造方法更好的统计特性。利用一维Logistic映射产生的混沌时间序列,加入反正弦与反余弦变换,对Logistic映射进行优化改进,以提高伪随机数列的统计特性。通过定性分析和定量计算发现,改进后的Logistic映射统计特性受迭代次数的限制较小,在随机性和均匀性上都优于常用的随机数列构造方法。
To obtain better evenness, this paper presented an improved algorithm of producing the chaotic pseudorandom se- quence based on the analysis of nonlinear dynamic characteristics statistical characteristics of the one-dimensional Logistic map. The arcsine and arecosine transformation were used to enhance the randomness of pseudorandom sequence produced by the one-dimensional Logistic map. The qualitative analysis and the numerical calculation results show that the iterative times has little influence on the statistical characteristics of the improved Logistic map sequence and the better evenness can be ob- tained with regard to the previous works.
出处
《计算机应用研究》
CSCD
北大核心
2014年第5期1403-1406,共4页
Application Research of Computers
基金
国家自然科学基金重点资助项目(61233014)
山东省自然科学基金资助项目(ZR2011FL013
ZR2010EL009)
山东省高等学校科技计划资助项目(J13LN27)
关键词
一维Logistic映射
混沌
伪随机数列
反正弦与反余弦变换
统计特性
one-dimensional Logistic map
chaos
pseudorandom sequence
arcsine and arccosine transformation
statisticalcharacteristics
