Floquet analysis for patterns on the surface of fluid subject to double-frequency excitation

The dynamical behaviors of onset patterns on the surface of viscous liquid in the large-aspect-ratio container under double-frequency parametric excit ation have been investigated theoretically. The calculation shows the lower margin curves of exciting acceleration for pattern formation, the response modes and the frequency spectra of the pattern as well. Furthermore, the b icritical phenomenon found in the double-frequency Faraday experiments is a lso studied. All of the results from the theoretical calculation are in exc ellent agreement with those measured by Edwards et at. without any adjustab le parameter.