Chaos and Non-Archimedean metric in the Bernoulli map

Details Chaos and Non-Archimedean metric in the Bernoulli map Chaos and Non-Archimedean metric in the Bernoulli map

1998-07-12

arxiv.org/abs/math-ph/9807013v1

Physics

Mathematical Physics

7 pages, TciLatex, no figures, to be submitted for publication

Scientific paper

Ultrametric concepts are applied to the Bernoulli map, showing the
adequateness of the non-Archimedean metrics to describe in a simple and direct
way the chaotic properties of this map. Lyapunov exponent and Kolmogorov
entropy appear to find a simpler explanation. A p-adic time emerges as a
natural consequence of the ultrametric properties of the map.

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