Stability and selective bifurcation for a gas bubble oscillating under ultrasound

Behavior of a gas bubble trapped under ultrasound was studied by the light scattering method. With fixed frequency of the ultrasound, the stability of bubble motion was investigated by increasing the driving sound pressure. It has been found that a selective bifurcation instead of period doubling occurs when the driving pressure is increased and the bubble gains extreme stability after the cascade occurrence of such bifurcation. It has also been found that very higher harmonic components in the Fourier spectrum of the bubble motion appear at the sonoluminescing regime, the absolute stable condition.