Escape through a time-dependent hole in the doubling map

Andre Livorati*, Orestis Georgiou, Carl P. Dettmann, Edson D. Leonel

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

8 Citations (Scopus)

Abstract

We investigate the escape dynamics of the doubling map with a time-periodic hole. Ulam's method was used 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 centered at periodic orbits.

Original languageEnglish
Article number052913
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number5
DOIs
Publication statusPublished - 23 May 2014

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