The logistic equation and a linear stochastic resonance

TL;DR

This paper analytically demonstrates that a linear system with correlated Gaussian white noises exhibits stochastic resonance, linking it to a generalized noisy logistic equation, and explores the underlying relationship.

Contribution

It introduces an analytical demonstration of stochastic resonance in a linear noisy system and connects it to a generalized logistic equation.

Findings

Linear transmitter with correlated noise shows stochastic resonance

Analytical relation established between stochastic resonance and logistic equation

Provides insights into noise-induced phenomena in linear systems

Abstract

We show analytically that a linear transmitter with correlated Gaussian white noises displays a stochastic resonance. We discuss the relation of this problem to a generalized noisy logistic equation.