Properties making a chaotic system a good Pseudo Random Number Generator

Details Properties making a chaotic system a good Pseudo Random Number Generator Properties making a chaotic system a good Pseudo Random Number Generator

2005-03-14

arxiv.org/abs/nlin/0503035v2

Phys. Rev. E 72 016220 (2005)

Nonlinear Sciences

Chaotic Dynamics

10 pages, 3 figures, new version, title changed and minor corrections

Scientific paper

10.1103/PhysRevE.72.016220

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.

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