Logistic Map: A Possible Random Number Generator

1993/10/01 by S. C. Phatak, S. Rao, Phatak, S. C. +2 · 1 citation
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Scientific Research and Discoveries #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9310004

Latex 2.09, 14 pages, 7 postscript figures available upon request, preprint No.IP/BBSR/93-52

arxiv created 1993/10/01 · openalex publication_date 1993/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)

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