Robustness of the diffusionless Lorenz equation circuit under directional gaussian noise

Abstract

We experimentally investigate the effect of adding directional Gaussian noise to a Diffusionless Lorenz Equation (DLE) circuit implementation. Previous results, based on simulations, suggest that under directional Gaussian noise, the DLE system is robust only if the noise is injected along one axis, but it loses its robustness if noise is injected simultaneously along three axis or directions (x,y,z). By injecting Gaussian noise along one component of the DLE circuit (one at a time), it was observed that the DLE system is indeed robust even for relatively high noise strength (indicated by the variance of the Gaussian noise).