Effect of nonlinear translations on the pulsation of cavitation bubbles

The pulsations and translations of cavitation bubbles obey combined ordinary differential equations,and their nonlinearities are studied by the bifurcation diagram and the phase diagram in a strong ultrasonic field.Bubble pulsation can change regularly or irregularly with changing driving pressure in the time domain.The bifurcation diagrams of the pulsation versus driving pressure show that the pulsations and translations of bubbles have nonlinear characteristics,and the nonlinear translations of bubbles can disorder the pulsations for certain parameters.Disorder of the pulsation can also be caused by nonlinear pulsation itself.In addition,the phase diagrams also show that the nonlinear translations make a large contribution to the pulsations.The same result can also be obtained when the ambient radii of two bubbles are different.