Logistic Map: A Possible Random Number Generator

TL;DR

This paper explores the logistic map's potential as a pseudo-random number generator by testing its output for statistical randomness, demonstrating its suitability in the chaotic regime.

Contribution

It is the first to systematically evaluate the logistic map's effectiveness as a pseudo-random number generator through statistical testing.

Findings

Logistic map passes key statistical tests for randomness

Chaotic regime of logistic map suitable for pseudo-random generation

Potential for simple, deterministic pseudo-random number generator

Abstract

The logistic map is one of the simple systems exhibiting order to chaos transition. In this work we have investigated the possibility of using the logistic map in the chaotic regime ({\sc logmap}) for a pseudo random number generator. To this end we have performed certain statistical tests on the series of numbers obtained from the {\sc logmap}. We find that the {\sc logmap} passes these tests satisfactorily and therefore it possesses many properties required of a pseudo random number generator. (Postscript figures available upon request)