Vibrational resonance in a harmonically trapped potential system

We report our investigation of role of shape of a harmonically trapped potential system driven by a biharmonic external force with two widely different frequencies omega and Omega with Omega >> omega on vibrational resonance. The potential is capable of generating odd number of potential wells depending upon the values of the parameters in the potential function. Applying a theoretical approach we obtain an analytical expression for the response amplitude Q at the low-frequency omega. The response amplitude exhibits multiple peaks and approaches a non-zero limiting value when the amplitude of the high-frequency force is varied. We explain the mechanism of observed resonance dynamics. We bringout the effect of number of potential wells on the resonance behaviour. (c) 2016 Published by Elsevier B.V.