Escape through a time-dependent hole in the doubling map

Andre Livorati; Orestis Georgiou; Carl P. Dettmann; Edson D. Leonel

doi:10.1103/PhysRevE.89.052913

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 journal › Article (Academic Journal) › peer-review

14 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 language	English
Article number	052913
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	89
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.89.052913
Publication status	Published - 23 May 2014

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title = "Escape through a time-dependent hole in the doubling map",

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.",

author = "Andre Livorati and Orestis Georgiou and Dettmann, \{Carl P.\} and Leonel, \{Edson D.\}",

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AU - Livorati, Andre

AU - Georgiou, Orestis

AU - Dettmann, Carl P.

AU - Leonel, Edson D.

PY - 2014/5/23

Y1 - 2014/5/23

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84901348462

U2 - 10.1103/PhysRevE.89.052913

DO - 10.1103/PhysRevE.89.052913

M3 - Article (Academic Journal)

C2 - 25353867

AN - SCOPUS:84901348462

SN - 1539-3755

VL - 89

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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IS - 5

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ER -

Escape through a time-dependent hole in the doubling map

Abstract

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