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.
authors.affiliation: Instituto de Física, IFUSP, Universidade de São Paulo, USP Rua do Matão, Tr.R 187, Cidade Universitária, 05314-970, São Paulo, SP, Brazil and School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.
authors.forename: André L P
authors.initials: AL
authors.lastname: Livorati
authors.affiliation: School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.
authors.forename: Orestis
authors.initials: O
authors.lastname: Georgiou
authors.affiliation: School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.
authors.forename: Carl P
authors.initials: CP
authors.lastname: Dettmann
authors.affiliation: Departamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP, Brazil.
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel
mesh_terms: D003198:Computer Simulation; D008954:Models, Biological; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*