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.
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Takeru MIYAZAKI, Shunsuke ARAKI, Satoshi UEHARA, "Some Properties of Logistic Maps over Integers" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 11, pp. 2258-2265, November 2010, doi: 10.1587/transfun.E93.A.2258.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.2258/_p
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@ARTICLE{e93-a_11_2258,
author={Takeru MIYAZAKI, Shunsuke ARAKI, Satoshi UEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Some Properties of Logistic Maps over Integers},
year={2010},
volume={E93-A},
number={11},
pages={2258-2265},
abstract={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.},
keywords={},
doi={10.1587/transfun.E93.A.2258},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Some Properties of Logistic Maps over Integers
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2258
EP - 2265
AU - Takeru MIYAZAKI
AU - Shunsuke ARAKI
AU - Satoshi UEHARA
PY - 2010
DO - 10.1587/transfun.E93.A.2258
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2010
AB - 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.
ER -