Phase-shifts in stochastic resonance in a Chua circuit

TL;DR

This paper experimentally investigates stochastic resonance in a chaotic Chua circuit, analyzing phase-shifts and synchronization mechanisms under sinusoidal forcing and noise.

Contribution

It provides detailed analysis of switch-phase distributions and introduces a method to detect optimal noise levels based on phase data.

Findings

Identification of phase-shift behaviors at different frequencies

Discovery of two desynchronization mechanisms

Method for optimal noise detection from switch phases

Abstract

We present an experimental study of stochastic resonance in an electronic Chua circuit operating in the chaotic regime. We study in detail the switch-phase distribution and the phase-shift between sinusoidal forcing for two responses of the circuit: one depending on both inter-well and intra-well dynamics and the other depending only on inter-well dynamics. We describe the two relevant de-synchronizatrion mechanisms for high and low frequencies of the forcing and present a method to detect the optimal noise intensity from switch phases which coincides with the one derived from the observation of the signal-to-noise ratio or residence times.