Vibrational resonance in an Oscillator Modelled by Dihedral Potential

Abstract

This paper examines and analyses the vibrations of a particle situated in a dihedral potential and subjected to dual frequency forcing. Based on the method of separation of time scales, the response amplitude of the particle at low-frequency (LF) is theoretically derived. It is found that a close agreement exists between the theoretical prediction and numerical simulation which validates the theoretical analysis. The presence of externally applied electric field give rise to multiple vibrational resonances. Furthermore, the VR shapes manifests as spikes that could be optimized by large amplitudes of the high frequency signal to enable the enhancement of VR thereby expediting the potential barrier crossing of the particle.