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Statistics of Poincar' e recurrences for a class of smooth circle maps

2003/11/30 by Nikola Buric, Nikola Burić, Buric, Nikola +5
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Dynamics and Fractals #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0312001

to appear in Chaos, Solitons and Fractals

arxiv created 2003/11/30 · openalex publication_date 2003/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Statistics of Poincar' e recurrence for a class of circle maps, including sub-critical, critical, and super-critical cases, are studied. It is shown how the topological differences in the various types of the dynamics are manifested in the statistics of the return times.

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