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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. |
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