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Length distribution of periodic orbits of unitary discrete tent maps

2004/12/14 by Yuriy E. Kuzovlev, Kuzovlev, Yuriy E.
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0412366

5 pages, 4 figures, RevTex4

arxiv created 2004/12/14 · openalex publication_date 2004/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The discrete unitary (reversible) analogues of the continuous (irreversible) tent maps are numerically investigated, in particular, the lengths probability distribution of their periodic orbits. It is found that its density can be well approximated by the inverse proportional law.

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