A Study on the Lyapunov Exponents of Sequences Generated by the Logistic Map over Integers

被引：0

作者：

Miyazaki, Takeru ^{[1
]}

Miyazaki, Chikara ^{[1
]}

Uehara, Satoshi ^{[1
]}

Araki, Shunsuke ^{[2
]}

机构：

[1] Univ Kitakyushu, Fac Environm Engn, 1-1 Hibikino, Kitakyushu, Fukuoka 8080135, Japan

[2] Kyushu Inst Technol, Fac Comp Sci & Syst Engn, Iizuka, Fukuoka 8208502, Japan

来源：

SIXTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS | 2013年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We are interested in the properties of sequences generated by the logistic map over integers. In the present paper, we give the Lyapunov exponents of the sequences generated by the map. Then, we confirm good correlations between a sign of the exponents and a few properties of randomness such as averages periods and link-lengths, and an occurrence rate of '0' bit in the generated sequence. Then, we prove that the exponent indicates stability of the sequence.

引用

页码：68 / 71

页数：4

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