Abstract
A numerical analysis of the Mathieu-Hill equation describing the time evolution of the amplitudes of capillary waves at the interface between two liquids, the upper moving relative to the denser lower liquid at a time-dependent velocity, is used to show that for certain values of the characteristic physical parameters, the zones of unstable amplitude growth become deformed and overlap to form a single, singly connected instability zone.
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Pis’ma Zh. Tekh. Fiz. 25, 13–18 (October 26, 1999)
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Grigor’ev, I., Golovanov, A.S. Deformations and overlap of instability zones in the Mathieu-Hill equation. Tech. Phys. Lett. 25, 806–808 (1999). https://doi.org/10.1134/1.1262642
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DOI: https://doi.org/10.1134/1.1262642