Abstract
In this paper, we study the nonlinear response of a bistable van der Pol–Mathieu–Duffing (VMD) oscillator under the influence of two periodic excitations of widely different frequencies. We have shown that by systematically modulating the strength of the high-frequency drive as well as the strength of the parametric oscillation, a symmetrically oscillating bistable potential can be converted to a symmetrically oscillating monostable potential. In addition to this effect, the strength of the fast drive modifies the damping as well, allowing us to define a threshold value of this strength at which a supercritical Hopf bifurcation occurs. All analytical results have shown to be numerically consistent.
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