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

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. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This work numerically investigates the impact of system nonlinearity on Vibrational Resonance (VR) and Ghost-Vibrational Resonance (GVR) phenomena in a Chua's circuit model driven by external perturbed excitation. It was found that the system with a truncated sinusoidal nonlinearity outperforms the one with a sawtooth nonlinearity in terms of response to perturbations. By exciting the system with two low frequency inputs and an additive high frequency perturbation, different ranges of perturbation amplitudes where VR and GVR phenomena are maximized were identified. The system can synchronize its response with the ghost frequency or one of the two input low frequencies depending on the perturbation amplitude.