Statistics of Poincar\' e recurrences for a class of smooth circle maps
Nikola Buric, Aldo Rampioni, Giorgio Turchetti
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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