Diverse Implementations of the Lorenz System for Teaching Non-Linear Chaotic Circuits

Abstract

It is common knowledge that nature exhibits nonlinear behavior, generally. As a result, non-linear phenomena play a vital role in the control systems in terms of engineering. That is the main reason for considering teaching nonlinear circuits in science and engineering undergraduate programs. In this paper, we present a well-known system that exhibits chaotic behavior. We quote the state equations and mathematical analysis of the Lorenz system. Afterward, we demonstrate simulation results to study and analyze the dynamic behavior of the overall system. The examples indicate a variety of ways in which chaotic behavior can arise in electronic circuits. Finally, we introduce an Arduino-based implementation of the Lorenz system. The comparison between the simulation and experimental results indicates the chaotic dynamics of the system.