Vibrational resonance in an asymmetric system modeled by an electronic circuit: Effect of the buffers.

Vibrational resonance (VR) has been extensively studied in symmetric circuits, but research on this phenomenon in asymmetric electronic circuits is understudied. The current study aims to model a novel asymmetric electronic circuit and investigate the occurrence of VR in the circuit. This oscillator shows changes according to four control parameters, with the aid of two buffers. The amplification of signals in electronic circuits gives interesting results, vibrational resonance is one of the phenomena which is based on the amplification of signals. In this study, the asymmetric strength caused by the potentiometers and the frequencies influence are the major aims explored. Interestingly, the circuit shows different types of behaviors that are pointed out through waveform profiles, bifurcation diagrams, largest Lyapunov exponent, and the phase portraits. The dynamic of the system is studied theoretically, numerically and by Pspice Simulation. The Pspice estimates match with numerical simulations. We use the response Q(ω) method, based on the sine and cosine of the Fourier component to study VR. Our discovery suggests that the asymmetric parameter and the amplitude of the high frequency, both affect the occurrence of vibrational resonance.

Stochastic resonance in deformable potential with time-delayed feedback.

This paper reports the stochastic resonance (SR) phenomenon with memory effects for a Brownian particle in a potential whose shape is subjected to deformation. We model the deformation in the system by the Remoissenet-Peyrard potential and the memory effects by the time-delayed feedback. The question of the possible influence of time-delayed feedback on the occurrence of SR is then of our interest. We examine numerically the effect of feedback strength as well as time delay on SR phenomenon in terms of hysteresis loop area. It is found that time-delayed feedback has a significant effect on SR and can induce double resonances in the system. We show that the properties of SR are varying, depending on interdependence between feedback strength, time delay and shape parameter. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 1)'.