Suppressing Chaotic Oscillations of a Spherical Cavitation Bubble by Slave-Master Feedback

Dynamics driven a single bubble is knownto be a complex phenomenon indicative of a highly activenonlinear as well as chaotic behavior. Based on theoreticalaspects, so much information are available in this case.Within this current research work, a method based on Slave-Master Feedback (SMF) to suppress chaotic oscillations wasintroduced. In the Slave-Master Feedback control process, thespherical cavitation bubble as the slave system is coupledwith a dynamical system as the master, so its implementationbecomes quite simple and similar statements can be made forthe high dimensional cases. In order, we perturbed thefundamental acoustic energy by applying the proposedtechnique. A great virtue of this method is its flexibility. Also,unlike other chaos control techniques, there is no need toknow more than one variable. The problem of the transitionto chaos in deterministic systems has been the subject ofmuch interest, and, for low dimensional dynamics, it wasfound that the transition most often occurs via a small numberof often observed routes. The relation between this methodand frequency ultrasonic irradiation is correlated to prove itsapplicability in applications involving cavitation phenomena.The results indicated its strong impact on reducing the chaoticoscillations to regular ones. Due to the importance of topic invarious aspects, investigation of the efficacy of the slavemasterfeedback control method in a system of interactingbubbles could be one of the subjects for future studies.

Keywords:

Chaotic , Oscillation , Bubble