Wt. Shi et al., BREAKING WAVES - BIFURCATIONS LEADING TO A SINGULAR WAVE STATE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4157-4161
We examine free surface wave singularities that show a violent focusin
g of energy. Periodic, modulated, and frequency locked wave states lea
d to a state with fluid spikes. When the excitation of free surface wa
ves exceeds a well defined threshold, the waves break leading to a low
-dimensional aperiodic state with spikes, droplet ejection, and air en
trainment. Return maps formed from wave height measurements lead to a
low-dimensional model of the dynamics. Surprisingly, only a slight inc
rease in power dissipation is observed past the transition to ejecting
waves.