Suppressing Chaotic Oscillations of a Spherical Cavitation Bubble by Slave-Master Feedback
Dynamics driven a single bubble is known to be a complex phenomenon indicative of a highly active nonlinear as well as chaotic behavior. Based on theoretical aspects, 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 was introduced. In the Slave-Master Feedback control process, the spherical cavitation bubble as the slave system is coupled with a dynamical system as the master, so its implementation becomes quite simple and similar statements can be made for the high dimensional cases. In order, we perturbed the fundamental acoustic energy by applying the proposed technique. A great virtue of this method is its flexibility. Also, unlike other chaos control techniques, there is no need to know more than one variable. The problem of the transition to chaos in deterministic systems has been the subject of much interest, and, for low dimensional dynamics, it was found that the transition most often occurs via a small number of often observed routes. The relation between this method and frequency ultrasonic irradiation is correlated to prove its applicability in applications involving cavitation phenomena. The results indicated its strong impact on reducing the chaotic oscillations to regular ones. Due to the importance of topic in various aspects, investigation of the efficacy of the slave-master feedback control method in a system of interacting bubbles could be one of the subjects for future studies.
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