Escape through a time-dependent hole in the doubling map

Autor(es)

Livorati, Andre L. P. ^{[1, 2]} ; Georgiou, Orestis ^[1] ; Dettmann, Carl P. ^[1] ; Leonel, Edson D. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Physical Review E; v. 89, n. 5 MAY 23 2014.
• Citações Web of Science: 6

Resumo

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)

• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular