Abstract
AbstractThe phenomenon of vibrational resonance is studied in a nonlinear dissipative two‐fluid plasma model with an asymmetric single‐well and double‐well potentials driven by an amplitude modulated (AM) signal. The external signal consisting of a low‐frequency () component and two high‐frequencies () and () components with . First, the approximate analytical expression for the response amplitude Q at the low frequency is obtained by means of direct separation of the slow and fast motions. We verified the theoretical results by numerical simulation using fourth‐order Runge–Kutta method and found it is in good agreement with the theoretical analysis. We show the enhanced response amplitude at the low frequency , showing more number of resonance peaks, a non‐decay of the response amplitude and hysteresis, and a jump phenomenon on the response amplitude curve due to the AM signal. In addition, we studied the effect of nonlinear dissipation on the response amplitude curve. By exploring the phase portrait and the bifurcation diagram, we explain the resonance mechanism and account for the other features of the resonance curve.
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