Arnold family in acoustically forced air bubble formation

We applied an integrate-and-fire model with sinusoidal baseline and constant threshold to describe air bubble formation periodically forced by a sound wave. The model is a deterministic one-dimensional system that predicts the instant of a bubble detachment as a function of the previous one and it is able to reproduce long time behavior with great similarity. The changes in the dynamics as the air flow rate varies can be predicted by a curve in the parameter space of the so called Arnold family of circle maps.