Display Abstract

Title Effects of periodic forcing in chaotic scattering

Name Jesus M Seoane
Country Spain
Email jesus.seoane@urjc.es
Co-Author(s) F. Blesa, R. Barrio and M. A. F. Sanju\'{a}n
Submit Time 2014-02-27 10:32:48
Session
Special Session 25: Dynamics of chaotic and complex systems and applications
Contents
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 $\omega \simeq 1$ and $\omega \simeq 2$ permit to escape the particles 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.