Noise invoked resonances near a homoclinic bifurcation in the glow discharge plasma

TL;DR

This study experimentally investigates how noise influences resonance phenomena near a homoclinic bifurcation in glow discharge plasma, demonstrating noise-enhanced signal recovery and optimization.

Contribution

It introduces the use of Absolute Mean Difference (AMD) as a new statistical measure for quantifying stochastic resonance in plasma systems.

Findings

Superimposed subthreshold signals can be recovered via noise.

System dynamics can be optimized using noise even without deterministic signals.

AMD and NV effectively quantify SR and CR phenomena.

Abstract

Stochastic Resonance (SR) and Coherence Resonance (CR) have been studied experimentally in the discharge plasma close to a homoclinic bifurcation. For the SR phenomena, it is observed that a superimposed subthreshold periodic signal can be recovered via stochastic modulations of the discharge voltage. Furthermore, it is realized that even in the absence of a subthreshold deterministic signal, the system dynamics can be recovered and optimized using noise. This effect is defined as CR in the literature. In the present experiments, induction of SR and CR are quantified using the Absolute Mean Difference (AMD) and Normalized Variance (NV) techniques respectively. AMD is a new statistical tool to quantify regularity in the stochastic resonance and is independent of lag.