Nonlinear Stochastic Resonance with subthreshold rectangular pulses

TL;DR

This paper investigates nonlinear stochastic resonance in noisy bistable systems driven by pulsed forces, revealing conditions under which SR gains exceed unity and depend nonmonotonically on pulse duration.

Contribution

It introduces a novel analysis of SR with pulsed driving forces, showing how pulse duration influences SR gain and can lead to gains greater than one.

Findings

SR gains can surpass unity under certain conditions

Maximum SR gain depends nonmonotonically on pulse duration

Output SNR varies with noise strength and pulse parameters

Abstract

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but opposite signs. Each pulse starts every half-period and its duration is varied. For subthreshold amplitudes, we study the dependence of the output signal-to-noise ratio (SNR) and the SR gain on the noise strength and the relative duration of the pulses. We find that the SR gains can reach values larger than unity, with maximum values showing a nonmonotonic dependence on the duration of the pulses.