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
fDate :
Oct. 27 2013-Nov. 1 2013
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;
Conference_Titel :
Signal Design and Its Applications in Communications, The Sixth International Workshop on
Conference_Location :
Tokyo
Print_ISBN :
978-1-4799-6028-6
DOI :
10.1109/IWSDA.2013.6849064
