Some Properties of Logistic Maps over Integers

Some Properties of Logistic Maps over Integers

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 precisi...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2010/11/01, Vol.E93.A(11), pp.2258-2265
Hauptverfasser: MIYAZAKI, Takeru, ARAKI, Shunsuke, UEHARA, Satoshi
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
Electronics
finite precision
Focusing
Integers
logistic map
Logistics
Mapping
Mathematical analysis
sequences
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Beschreibung
Zusammenfassung: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.
ISSN:0916-8508
1745-1337
1745-1337
DOI:10.1587/transfun.E93.A.2258