Resonance phenomena in discrete systems with bichromatic input signal

TL;DR

This paper numerically investigates stochastic and vibrational resonance in a discrete cubic map system with bichromatic input, revealing crossover behaviors and potential for selective frequency detection.

Contribution

It introduces a detailed numerical analysis of resonance phenomena in a discrete model combining bistable and threshold features with bichromatic signals.

Findings

Existence of crossover from vibrational to stochastic resonance

Stochastic resonance can be used as a filter for frequency detection

Differences in amplification mechanisms between bistable and threshold systems

Abstract

We undertake a detailed numerical study of the twin phenomena of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal. A two parameter cubic map is used as the model that combines the features of both bistable and threshold settings. Our analysis brings out several interesting results, such as, the existence of a cross over behaviour from vibrational to stochastic resonance and the possibility of using stochastic resonance as a filter for the selective detection/transmission of the component frequencies in a composite signal. The study also reveals a fundamental difference between the bistable and threshold mechanisms with respect to amplification of a multi signal input.