Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal

This study examines the phenomenon of vibrational resonance (VR) in a classical positiondependent mass (PDM) system characterized by three types single-well potentials. These potentials are influenced an amplitude-modulated (AM) signal with $\Omega\gg\omega$. Our analysis is limited to following parametric choices: <br> (i) $\omega_0^2$, $\beta$, $m_0$, $\lambda>0$ (type-1 single-well), (ii) $\omega_0^2>0$, $\beta <0$, $2< m_0 <3$, $1< \lambda <2$ (type-2 (iii) $0< <2$, $0<\lambda<1$ (type-3 single-well). The presents intriguing scenario which PDM function significantly contributes occurrence VR. In addition analytical derivation equation for slow motions based on high-frequency signal’s parameters using method direct separation motion, numerical evidence presented VR and its basic dynamical behaviors investigated. Based findings this paper, weak low-frequency within can be either attenuated or amplified manipulating parameters, such as amplitude ($m_0$) spatial nonlinearity $\lambda$. outcomes investigations validated further supported through simulations.