The Lorenz Attractor: A Fractal Perspective using MATLAB

Abstract

In a 1963 paper, Lorenz proposed that the Lorenz attractor is a complex, infinite surface. We examine this fractal aspect of Lorenz System using MATLAB. Here, we create detailed visualizations of the attractor's fractal structure and corresponding chaotic behavior of the systems. In this article we have demonstrated the fractal graph for real Lorenz as well as fractional ordered real Lorenz system for both real initial conditions.