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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Escape through a time-dependent hole in the doubling map

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Author(s):
Livorati, Andre L. P. [1, 2] ; Georgiou, Orestis [1] ; Dettmann, Carl P. [1] ; Leonel, Edson D. [3]
Total Authors: 4
Affiliation:
[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[2] Univ Sao Paulo, Inst Fis, IFUSP, BR-05314970 Sao Paulo - Brazil
[3] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Review E; v. 89, n. 5 MAY 23 2014.
Web of Science Citations: 6
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. (AU)

FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants