Escape through a time-dependent hole in the doubling map

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

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/113120

Title:

Escape through a time-dependent hole in the doubling map

Author(s):

Institution:

Universidade de São Paulo (USP)
Univ Bristol
Universidade Estadual Paulista (UNESP)

ISSN:

1539-3755

Sponsorship:

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Center for Scientific Computing (NCC/GridUNESP) of the Sao Paulo State University (UNESP)

Sponsorship Process Number:

CAPES: 0287-13-0
FAPESP: 12/23688-5

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.

Issue Date:

23-May-2014

Citation:

Physical Review E. College Pk: Amer Physical Soc, v. 89, n. 5, 8 p., 2014.

Time Duration:

8

Publisher:

Amer Physical Soc

Source:

http://dx.doi.org/10.1103/PhysRevE.89.052913

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/113120

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