AI Article Synopsis
- Investigated how periodic forcing impacts chaotic scattering, focusing on the amplitude and frequency effects on particle survival and exit basins in phase space.
- Found an exponential decay in survival probability and identified specific frequencies (around ω≃1 and ω≃2) that enable faster particle escape.
- Observed Wada basins in exit phase space, with heuristic arguments supporting the numerical findings, highlighting the relevance of these results for phenomena like companion galaxy interactions.
Article Abstract
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.
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| http://dx.doi.org/10.1103/PhysRevE.89.042909 | DOI Listing |
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