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Statistics of Poincaré recurrences for a class of smooth circle maps |
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| Authors: | Nikola Buric Aldo Rampioni Giorgio Turchetti |
| Institution: | aDepartment of Physics and Mathematics, Faculty of Pharmacy, University of Beograd, Vojvode Stepe 450, 11000 Beograd, Serbia and Montenegro bDepartment of Physics, University of Bologna, INFN Sezione di Bologna, Italy |
| 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. |
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