Transitional response of double-mode Faraday waves in a brimful container

Double-mode Faraday waves, excited near overlapping instability tongues, exhibit rich and interesting pattern-forming dynamics. This work experimentally studies the transitions from the five-fold mode to the eight-fold mode, governed by mode interactions and suppressions. With single-point and full spatial measurements, we quantify amplitude evolution and identify distinct supercritical (five-fold) and subcritical (eight-fold) excitations. The analysis reveals that incorporating fifth-order terms into the amplitude equations is essential for accurately capturing the observed transitional behaviors, thereby providing deeper insights into the multi-mode dynamics of Faraday wave systems.