Stochastic resonance in a sinusoidal potential system: An analog simulation experiment

TL;DR

This paper demonstrates stochastic resonance in a sinusoidal potential system through an analog simulation experiment, confirming the existence of two dynamical states and their transitions at different temperatures.

Contribution

It provides the first experimental verification of stochastic resonance in a sinusoidal potential system using analog simulation techniques.

Findings

Existence of two dynamical states confirmed experimentally.

Stochastic resonance observed in the sinusoidal potential system.

Transitions between states occur at elevated temperatures.

Abstract

Recently, stochastic resonance was obtained numerically in an underdamped periodic potential system driven by a periodic force and a Gaussian white noise. In that numerical work, the occurrence of stochastic resonance was explained in terms of the existence of two dynamical states having different amplitude and phase lag. At zero temperature these two initial condition dependent dynamical states are stable. However, at elevated temperatures, these two states make transitions from one to the other at a mean rate. In the present work, we setup an analog simulation experiment to show the existence of the two dynamical states in a sinusoidal potential system as well as to verify the occurrence of stochastic resonance in the same system. The experimental procedure includes setting the initial conditions for the experiment.