English

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

Chaotic Dynamics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.nlin/0312001,
  title  = {Statistics of Poincar\' e recurrences for a class of smooth circle maps},
  author = {Nikola Buric and Aldo Rampioni and Giorgio Turchetti},
  journal= {arXiv preprint arXiv:nlin/0312001},
  year   = {2007}
}

Comments

to appear in Chaos, Solitons and Fractals