Vibrational resonance in the canonical Chua's circuit with a smooth nonlinear resistor

Abstract

Vibrational resonance in the canonical Chua’s circuit with a smooth cubic nonlinear resistor is investigated by an analog circuit experiment and a dynamical model. When other parameters are fixed, changing the amplitude and the frequency of the high-frequency signal can make the system’s response amplitude to the low-frequency weak signal exists a wide peak. The phase diagram of the system will transition from a single-scroll attractor to a double-scroll attractor when the amplitude of the high-frequency signal reaches the critical value to achieve vibrational resonance. In particular, the maximum of the system’s response amplitude is insusceptible when the frequency of the high-frequency signal varies over a broad range, which indicates the strong robustness of the vibrational resonance in the present system. The experimental results are coincident with the numerical simulations. This research has potential applications in chaos control and weak signal detection.