Abstract

The transition to chaos is investigated experimentally in a system of capillary waves parametrically excited in a thin layer of fluid in a cavity oscillating in the vertical direction. In a certain range of fluid depths, when the amplitude of oscillations is increased a regular wave system is replaced quasi-periodically in time by a chaotic field. Irrespective of the shape of cavity used in the experiments, the temporal evolution of the system from a regular to a chaotic state occurs through the excitation of low-frequency motions. The excitation of gravity waves occurs only when their velocity is close to the group velocity of capillary ripples and immediately before the transition to the chaotic state, waves appear with wave vectors K/3, where K is the wave vector of parametrically excited wave.

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