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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 investigating the logistic may over intergers with finite precision and sequences outputted by the interactive mapping. One of our goals is to provide a guide-line for design of pseudorandom number generators with the map. In this paper, we set a basic model in which internal initial values are updated after a certain iteration, and show that an updating way of the internal initial value does...
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