Effects of periodic forcing in chaotic scattering.
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 ω≃1 and ω≃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.
Computational Dynamics Group, Departamento de Física Aplicada, IUMA, Universidad de Zaragoza, E-50009 Zaragoza, Spain.
Fernando
F
Blesa
Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
Jesús M
JM
Seoane
Computational Dynamics Group, Departamento de Matemática Aplicada and IUMA, Universidad de Zaragoza, E-50009 Zaragoza, Spain.
Roberto
R
Barrio
Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
Miguel A F
MA
Sanjuán