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Some Properties of Logistic Maps over Integers

Takeru MIYAZAKI, Shunsuke ARAKI, Satoshi UEHARA

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Summary :

The logistic map is a chaotic mapping. Although several studies have examined logistic maps over real domains with infinite/finite precisions, there has been little analysis of the logistic map over integers. Focusing on differences between the logistic map over the real domain with infinite precision and the logistic map over integers with finite precision, we herein show the characteristic properties of the logistic map over integers and discuss the sequences generated by the map.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.11 pp.2258-2265
Publication Date
2010/11/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E93.A.2258
Type of Manuscript
Special Section PAPER (Special Section on Signal Design and its Application in Communications)
Category
Sequences

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