Interplay between Detection Strategies and Stochastic Resonance Properties

TL;DR

This paper explores how stochastic resonance influences detection strategies in bistable systems, comparing escape time analysis and strobing, and reveals their connection to system physics and resonance phenomena.

Contribution

It introduces a detailed comparison of detection strategies in bistable systems, linking their performance to stochastic resonance and system dynamics.

Findings

Escape time analysis peaks at geometric resonance frequency.

Strobing performance peaks at a noise level predicted by stochastic resonance.

Detection strategies' effectiveness depends on the physical resonance properties.

Abstract

We discuss how to exploit stochastic resonance with the methods of statistical theory of decisions. To do so, we evaluate two detection strategies: escape time analysis and strobing. For a standard quartic bistable system with a periodic drive and disturbed by noise, we show that the detection strategies and the physics of the double well are connected, inasmuch as one (the strobing strategy) is based on synchronization, while the other (escape time analysis) is determined by the possibility to accumulate energy in the oscillations. The analysis of the escape times best performs at the frequency of the geometric resonance, while strobing shows a peak of the performances at a special noise level predicted by the stochastic resonance theory. We surmise that the detection properties of the quartic potential are generic for overdamped and underdamped systems, in that the physical nature of resonance decides the competition (in terms of performances) between different detection strategies.