Analysis of Vibrational Resonance in Position Dependent Mass System
Under an Amplitude Modulated Excitation
Abstract
The phenomenon of vibrational resonance (VR) in a classical
position-dependent mass (PDM) system under the influence of an amplitude
modulated (AM) force with Ώ >> ω is
numerically studied. The system provides an interesting scenario where
PDM function makes a significant contribution to the occurrence of VR.
With the results given by this paper one can weaken or enhance the weak
low-frequency force in the PDM system by controlling the PDM parameters
such as mass amplitude m0 and mass spatial nonlinearity λ. The basic
dynamical behaviours such as VR, period-doubling, reverse
period-doubling, chaos, hysteresis and jump phenomenon have been
investigated through bifurcation diagram, phase portrait and response
amplitude