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

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

2003-11-30

arxiv.org/abs/nlin/0312001v1

Nonlinear Sciences

Chaotic Dynamics

to appear in Chaos, Solitons and Fractals

Scientific paper

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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