Some Properties of Logistic Maps over Integers
Takeru Miyazaki, Shunsuke Araki, Satoshi Uehara · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2010
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.