Ghost stochastic resonance in an asymmetric Duffing oscillator

Abstract We report the occurrence of ghost stochastic resonance (GSR) for a Brownian particle in three types of asymmetric potentials. The asymmetries are controlled by the asymmetry parameter and introduced in the potential by varying the left well. These variations are namely (i) the depth alone, (ii) the width alone and (iii) both depth and width. The properties of GSR in the asymmetric systems are different from the symmetric systems. It is demonstrated that the resonance observed at the ghost frequency is due to the existence of this frequency during the dynamics of the particle. We also examine numerically the effect of the asymmetry parameter on GSR phenomenon. It is found that the asymmetry parameter has a significant influence on the GSR and allows a precise control of the appearance of GSR.