In the course of this thesis, the development of a computational application that allows the characterization and simulation of the existing cognitive process in a simple motor task will be presented, the characterization phase presents the components of signal acquisition through the synchronization of the electromyograph equipment and electroencephalography, filtering and digital processing of these signals; In the simulation phase, a module is presented within the computational application that allows to analyze and simulate the electrophysiological signals from a membrane potential approach, which covers established models for electric charges and membrane ion potential. Additionally, in order to evaluate the computational application developed, an application with 9 research subjects is presented, which ranges from the creation of the motor stimulation protocols to the characterization of the waves obtained in the potentials related to motor events. It is found through the evaluation of the application with the subjects, that there is congruence in the signals of the subjects analyzed and in those reported in the literature, where there is presence of waves before, during and after making a voluntary movement following a protocol of stimulation. It has the wave NS or Late BP, which indicates the activation of the primary motor cortex M1, the Premotor Positivity or PMP, which indicates the organization of the motor sequence, waves P100 and N100 or MP, which indicate the feedback of the movement, and the DRE-related Desynchronization, which indicates the activation of the mirror neuron system by suppressing the Mu rhythm.