NEURODAT'21 IBRO-PERC Lecture on Computational Neuroscience

The present communication is aimed at creating the biophysical and mathematical foundations for the understanding of the current trends theory of control and networks applied to Computational Neurosciences. There are many different models of interest on this area Hodgkin – Huxley model, Fitzhugh – Nagumo model, Morris – Lecar model, Hindmarsh – Rose model, Izhikievich model, Li – Rinzel model, Wilson – Cowan model, Kuramoto model, Hopfield and Spin Glass-like models, Cellular Automata models, etc. On this presentation the focus is on this class of models and their implications/relations to computational neurosciences.