Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities

Abstract

This work numerically investigates the dynamics of a Chua’s circuit model experiencing a truncated sinusoidal force and driven by an external perturbed excitation. We mainly study the impact of the system’s nonlinearity on the occurrence of Vibrational Resonance (VR) and Ghost-Vibrational Resonance (GVR) phenomena. When a truncated sinusoidal nonlinearity is used, the system requires relatively smaller perturbation amplitude to attain its maximum response better than the one achieved with a sawtooth nonlinearity which requires a larger perturbation amplitude. Therefore, the system with a truncated sinusoidal nonlinearity outperforms the one with a sawtooth nonlinearity. Exciting the system with two low frequency inputs and an additive high frequency perturbation, we identify different ranges of the perturbation amplitude in which the occurrence of VR and GVR phenomena are maximized. We show that depending on the perturbation amplitude, the system can synchronize its response with the ghost frequency or one of the two input low frequencies.