Directional noise injection in a diffusionless Lorenz equation

Abstract

This paper discusses the effects of directional noise on the trajectory of a chaotic system, particularly the Diffusionless Lorenz Equation. By calculating for the cubic volume in which the system is enclosed to, the trajectory and the structure of the system was analyzed. It was shown that for noise added in one direction(axis), the system presents itself with some degree of robustness, while if noise is added in all direction simultaneously, the system’s trajectory and structure becomes heavily distorted.