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

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 ffxed, 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.