"This thesis presents a simulated study for a laser with an intracavity saturable absorber by the mean of the Statz‐de Mars rate equations; this thesis is divided in two sections with four chapters. Chapter 1: Lasers. In this first chapter the lasers elemental concepts are boarded; e.g. optical gain, resonators, rate equations, lasing threshold. Chapter 2: Chaos. This chapter undertakes the exposition of the basic chaos theory concepts that will be necessary for the realization and the results interpretation of this work are explained; e.g. critical points, dynamical systems, attractors. Chapter 3: Stability and chaos for the Statz‐de Mars equations. This chapter begins with the theoretical bases of our problem, that is the Statz‐de Mars equations and saturable filters; then the laser model is boarded, beginning with the statz‐de Mars equations for a laser with an intracavity saturable absorber, finally, the equations system is solved in order to obtain the system’s critical points and, the stable states of the system are plotted. Chapter 4: Chaos results and conclusions. This final chapter presents the necessary conditions for the system to show chaotical behavior, in the same way, the final results and conclusions are discussed and future work is proposed."