Effects of periodic forcing in chaotic scattering

Blesa Moreno, Fernando (Universidad de Zaragoza) ; Seoane, Jesús M. ; Barrio, Roberto (Universidad de Zaragoza) ; Sanjuán, Miguel A. F.

Resumen: The effects of a periodic forcing on chaotic scattering are relevant in certain situations of physical interest. We investigate the effects of the forcing amplitude and the external frequency in both the survival probability of the particles in the scattering region and the exit basins associated to phase space. We have found an exponential decay law for the survival probability of the particles in the scattering region. A resonant-like behavior is uncovered where the critical values of the frequencies omega aprox. 1 and omega aprox. 2 permit the particles to escape faster than for other different values. On the other hand, the computation of the exit basins in phase space reveals the existence of Wada basins depending of the frequency values. We provide some heuristic arguments that are in good agreement with the numerical results. Our results are expected to be relevant for physical phenomena such as the effect of companion galaxies, among others.

Idioma: Inglés

DOI: 10.1103/PhysRevE.89.042909

Año: 2014

Publicado en: PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 89 (2014), 042909 [9 pp]
ISSN: 1539-3755

Factor impacto JCR: 2.288 (2014)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 5 / 54 = 0.093 (2014) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 9 / 31 = 0.29 (2014) - Q2 - T1

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2009-09898

Tipo y forma: Article (Published version)

Área (Departamento): Matemática Aplicada (Departamento de Matemática Aplicada)
Área (Departamento): Física Aplicada (Departamento de Física Aplicada)