Parametric excitation of waves on a free boundary of a horizontal fluid layer
V. I. Yudovich, S. M. Zen’kovskaya, V.A. Novossiadliy, A. L. Shleykel’ · Comptes Rendus Mécanique · 2004
We consider the dynamical stability of horizontal fluid layer, performing harmonic oscillations in vertical direction. The continued fractions approach allowed us to avoid the conventional restriction to the case of small viscosity and almost-resonant frequencies. Our numerical results cover a wide range of the parameters (viscosity, amplitude and frequency of the oscillation, and depth of the layer).