Statistics of Poincaré recurrences for a class of smooth circle maps

Nikola Buric, Aldo Rampioni and Giorgio Turchetti

Chaos, Solitons & Fractals, 2005, vol. 23, issue 5, 1829-1840

Abstract: Statistics of Poincaré 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:5:p:1829-1840

DOI: 10.1016/j.chaos.2004.07.019

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