The theory of dynamical systems describes the evolution of non-deterministic and deterministic systems, through the construction of attractors. In order to establish the evolving dynamics of Mental Events, the occurrence of nine categories of mental events during five days in five subjects was evaluated, developing a simulation of this process based on the values empirically found. Attractors of these dynamics were constructed, and set the trend. A new methodology for assessing the dynamics of mental events was developed, applicable to any case, based on the theory of dynamical systems, and simulations of the dynamic, finding chaotic attractors that enable the characterization of the evolution of the system, showing that, according to this methodology, the dynamics show a chaotic behavior, are self-organized into bounded ranges and have a finite number of possibilities.