| The problem of long-range sound propagation in a range-periodic underwater sound channel is considered. We study the effect of a fine-scale sound-speed perturbation onto wave behavior. Resonant ray scattering gives rise to the stochastic proliferation of periodic orbits. However, Husimi plots constructed for Floquet modes reveal well-ordered chains of peaks. Those peaks are associated with certain periodic orbits which do exist only with lower amplitude of the perturbation and become destroyed as the perturbation's amplitude increases. We refer to this phenomenon as the recovery of periodic orbits. |
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