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On the studies of the logistic map, many reports are presented because of the simple structure of the equation. Calculations with finite precision are usually used for implementations of the map for computers. Then a rounding is needed to these calculations. There are five major methods to implement rounding, but there was not any paper on the rounding of the map. In the present paper, we get some...
We are investigating the logistic map over integers and its pseudorandom number generator. Focusing on differences between the logistic maps over floating-point numbers and over integers, we herein show that the integer format is a suitable representation for implementing the logistic map on computers with limited memories.
We are interested in properties of the logistic maps with finite precision and theirs sequences. In this paper, we focus on a cyclic part, which we call a loop, in a sequence generated by the logistic map over integers successively, since the loop always exists in the sequence. We can observe loops in sequences generated by the logistic map with irrational numbers as initial values. We will show the...
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