A study on distance between two sequences by the logistic map over integers with slightly different parameters

One of our investigation purposes is to give a design guide of a pseudorandom number generator using the logistic map with finite precision. In the present paper, we show that two sequences for slightly different parameters are completely different from each other, even if the logistic map has the same computational precision and the same initial values. First, we decide the arithmetic precision and the initial value. Second, we obtain two sequences by the logistic map for slightly different parameters. Last, we estimate a correlation of them by measuring the distance between two elements.