Escape through a time-dependent hole in the doubling map
Chaotic Dynamics
2014-10-01 v2
Abstract
We investigate the escape dynamics of the doubling map with a time-periodic hole. We use Ulam's method to calculate the escape rate as a function of the control parameters. We consider two cases, oscillating or breathing holes, where the sides of the hole are moving in or out of phase respectively. We find out that the escape rate is well described by the overlap of the hole with its images, for holes centred at periodic orbits.
Keywords
Cite
@article{arxiv.1312.7030,
title = {Escape through a time-dependent hole in the doubling map},
author = {André L. P. Livorati and Orestis Georgiou and Carl P. Dettmann and Edson D. Leonel},
journal= {arXiv preprint arXiv:1312.7030},
year = {2014}
}
Comments
9 pages, 7 figures. To appear in Physical Review E in 2014