Sequentially activated groups in neural networksM. A. Komarov1, 2, G. V. Osipov1, 2 and J. A. K. Suykens2
1 Department of Control Theory, Nizhny Novgorod University - Gagarin Avenue, 23, 603950 Nizhny Novgorod, Russia
2 K. U. Leuven, ESAT-SCD/SISTA - Kasteelpark Arenberg 10, B-3001 Leuven (Heverlee), Belgium, EU
received 27 February 2009; accepted in final form 2 June 2009; published June 2009
published online 13 July 2009
The internal neuronal dynamics, network configurations and coupling are influencing the output of neuronal networks through different external actions. One possible output form is sequential neuronal activity. This activity typically comprises many subsequent components generated by neuronal networks with a different action and spatial location. A stimulus-dependent formation of certain spatio-temporal structures takes place with sequences of groups of neurons that have a switching activity in time. We obtain spatio-temporal structures of activity in networks of randomly synaptically coupled neurons modeled as a Hodgkin-Huxley system. Necessary conditions for appearance of functional structures are presented. It is found that the asymptotic information capacity of the neuronal network exhibits a power law dependency. Its exponent can be very large and depends on the number of groups and the number of neurons per group.
05.45.Xt - Synchronization; coupled oscillators.
© EPLA 2009