Reducing the sequential dynamics of excitatory neural networks to cellular automata
V. I. Nekorkin+†, A. S. Dmitrichev+†, D. V. Kasatkin+, V. S. Afraimovich*
+Institute of Applied Physics of the RAS, 603950 Nizhny Novgorod, Russia
*Instituto de Investigacion en Comunicacion Optica, Universidad Autonoma de San Luis Potosi,
Lomas 4a 78220 San Luis Potosi, S.L.P., Mexico
†Laboratory of Algorithms and Technologies for Network Analysis, The National Research University Higher School of Economics,
603093 Nizhny Novgorod, Russia
Abstract
An approach is developed for the description and analysis of sequential
dynamics of excitatory neural networks. It is based on the reduction of dynamics of
networks to the dynamics of cellular automata on the graph of connections. We apply
our approach to network of Hodgkin-Huxley neurons coupled by chemical synapses.