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

Abstract

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