A Numerical Study of the Complex Lorenz System as a Dynamical Model

A nonlinear dynamical system is a mathematical model for a portion of the physical world where continuous components are interacting with each other. Such systems are complex, and it is difficult to predict how they will react towards changing the driving parameters and initial conditions. \\ This dissertation is concerned with the numerical aspect of controlling the Lorenz system that studies the production of the magnetic field in sunspots. The study aims to do this by applying different approaches to the system.