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

Nikola Buric·Aldo Rampioni·Giorgio Turchetti
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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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Nikola Buric, Aldo Rampioni, Giorgio Turchetti. 2003-11-30. Statistics of Poincar\' e recurrences for a class of smooth circle maps. https://arxiv.org/abs/nlin/0312001

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