Bi-parametric topology of subharmonics of an asymmetric bubble oscillator at high dissipation rate

Investigation of the 1/2 order subharmonic emissions of the period-2 oscillations of an ultrasonically excited bubble

“…The initial condition of the bubble is another factor that can change the minimum pressure threshold for the occurrence of nonlinear behavior and SH emissions [3,69,70]. Sonication with a multi-frequency acoustic source [7,71,72,73,74,75] significantly influences the nonlinear behavior of the bubbles and the threshold for SH emissions. For sufficiently long exposures, mass transfer effects become an important mechanism of the damping and can significantly affect the bubble behavior [76,77,78,79,80].…”

Nonlinear dynamics and bifurcation structure of ultrasonically excited lipid coated microbubbles

“…Moreover, they reported the existence of transient chaos [45] . Using two frequencies was proposed in [47] and extended in [48] , [49] , [50] , [51] to control the chaotic behavior of the MBs. The effect of multiple frequencies on the resonance behavior and nonlinear dynamics of the system was investigated in [52] , [53] , [54] , [55] .…”

Rectified Diffusion of Gas Bubbles in Molten Metal during Ultrasonic Degassing

“…The features of the diffusion phenomenon have been demonstrated through predictions of the behaviors of hydrogen bubbles in molten aluminum. In the present work, the nonlinearity of the bubble oscillator (e.g., subharmonics [40,41]) is not fully considered, and its effects on bubble dynamics will be further explored in future work. Finally, the validation of the present model will be briefly discussed.…”