DocumentCode
692114
Title
A study on the Lyapunov exponents of sequences generated by the logistic map over integers
Author
Miyazaki, Toshimasa ; Miyazaki, Chikara ; Uehara, Satoshi ; Araki, Shunsuke
Author_Institution
Fac. of Environ. Eng., Univ. of Kitakyushu, Aizu-Wakamatsu, Japan
fYear
2013
fDate
Oct. 27 2013-Nov. 1 2013
Firstpage
68
Lastpage
71
Abstract
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.
Keywords
Lyapunov methods; chaos; iterative methods; polynomials; Lyapunov exponents; chaotic behavior; iterative maps; logistic map; randomness properties; sequence stability; Chaos; Generators; Information theory; Libraries; Logistics; Signal design; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Design and Its Applications in Communications, The Sixth International Workshop on
Conference_Location
Tokyo
Print_ISBN
978-1-4799-6028-6
Type
conf
DOI
10.1109/IWSDA.2013.6849064
Filename
6849064
Link To Document