Properties making a chaotic system a good Pseudo Random Number Generator
Chaotic Dynamics
2009-11-11 v2 Statistical Mechanics
Cellular Automata and Lattice Gases
Abstract
We discuss two properties making a deterministic algorithm suitable to generate a pseudo random sequence of numbers: high value of Kolmogorov-Sinai entropy and high-dimensionality. We propose the multi dimensional Anosov symplectic (cat) map as a Pseudo Random Number Generator. We show what chaotic features of this map are useful for generating Pseudo Random Numbers and investigate numerically which of them survive in the discrete version of the map. Testing and comparisons with other generators are performed.
Keywords
Cite
@article{arxiv.nlin/0503035,
title = {Properties making a chaotic system a good Pseudo Random Number Generator},
author = {Massimo Falcioni and Luigi Palatella and Simone Pigolotti and Angelo Vulpiani},
journal= {arXiv preprint arXiv:nlin/0503035},
year = {2009}
}
Comments
10 pages, 3 figures, new version, title changed and minor corrections