Nonlinear transitions of a spherical cavitation bubble

Dynamics of acoustically driven bubbles are known to be complex and uncontrollable. Depending on the applied pressure, frequency and the properties of the bubble and the host media, the radial oscillations of the bubble has been reported to be stable and chaotic. In this paper, the dynamics of a single acoustically driven bubble is widely studied applying the methods of chaos physics. The stability of the bubble is analyzed through plotting the bifurcation diagrams and Lyapunov exponent spectra versus pressure, frequency, initial bubble radius, surface tension and viscosity as the control parameters. Results show the rich nonlinear dynamics of the bubble including period doubling, inverse period doubling, saddle node bifurcations, quasi-periodicity and chaos. Also similarities were detected in the bubble response to variations between some of the control parameters.