Stochastic resonance in a non Markovian discrete state model for excitable systems

TL;DR

This paper investigates stochastic resonance in a non-Markovian three-state model of excitable systems under periodic driving, deriving key analytical expressions for spectral power amplification, signal-to-noise ratio, and inter-spike interval distribution.

Contribution

It introduces a novel non-Markovian three-state model for excitable systems and derives analytical formulas for key stochastic resonance metrics under periodic signals.

Findings

Derived expressions for spectral power amplification and SNR.

Analyzed inter-spike interval distribution.

Demonstrated stochastic resonance phenomena in the model.

Abstract

We study a non Markovian three state model, subjected to an external periodic signal. This model is intended to describe an excitable systems with periodical driving. In the limit of a small amplitude of the external signal we derive expressions for the spectral power amplification and the signal to noise ratio as well as for the inter-spike interval distribution.