Ghost stochastic resonance in an asymmetric Duffing oscillator

• Published in: Physica A Vol. 582; p. 126247
• Main Authors: Tala, A.F. Moyo, Ngouongo, Y.J. Wadop, Kenmoé, G. Djuidjé, Kofané, T.C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2021
• Subjects: Asymmetric systems; Brownian particle; Ghost stochastic resonance; Noise; Response; Response; Brownian particle; Asymmetric systems; Noise; Ghost stochastic resonance
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2021.126247

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. •Appearance of the GSR phenomenon in depth, width, and simultaneous width and depth asymmetries.•Influence of the asymmetry parameter on the GSR phenomenon.•The amplitude of GSR strongly depends on the asymmetry parameter.•The appearance of GSR is controlled by the asymmetry parameter.•The GSR phenomenon is more favourable in the case of width asymmetry.