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Discontinuity, Nonlinearity, and Complexity 5(4) (2016) 355--364 | DOI:10.5890/DNC.2016.12.002

N. Semenova; E. Rybalova; V. Anishchenko

Saratov State University, Saratov, 410012, Russia

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Abstract

It is found that the step function of dependence of the minimal Poincaré return time on the size of a return region τinf(ε) for the linear circle map with an arbitrary rotation number can be approximated analytically. All analytical results are confirmed by numerical simulation.

Acknowledgments

This work was partly supported by the RFBR (Grant No. 15-02-02288).

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