  A previously unreported regime of type III intermittency is observed in a
vertically vibrated milliliter-sized liquid drop submerged in a more viscous
and less dense immiscible fluid layer supported by a hydrophobic solid plate.
As the vibration amplitude is gradually increased, subharmonic Faraday waves
are excited at the upper surface of the drop. We find a narrow window of
vibration amplitudes slightly above the Faraday threshold, where the drop
exhibits an irregular sequence of large amplitude bursting events alternating
with intervals of low amplitude activity. The triggering physical mechanism is
linked to the competition between surface Faraday waves and the shape
deformation mode of the drop.
