Dynamical systems are present in several scientific disciplines and represent sets of interconnected elements whose behavior evolves over time. They encompass phenomena ranging from physics to engineering and are characterized by nonlinearities, which can generate complex behaviors, such as bifurcations and chaos. The theory of dynamical systems investigates concepts such as stability, attractors and sensitivity to initial conditions. These systems are fundamental to understanding the dynamics of natural and artificial systems, offering valuable insights for problem-solving and the advancement of scientific knowledge. Thus, we briefly present some computational analysis scripts to diagnose chaos in nonlinear dynamical systems. These scripts, developed in the Julia language, contribute to a faster and more efficient diagnosis. In this chapter, we will address an idea of how to use the Julia programming language tools and thus obtain good numerical results for our analyses of these systems.