Effects of refractory periods in the dynamics of a diluted neural network

F. A. Tamarit, D. A. Stariolo, S. A. Cannas, P. Serra
1996 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We propose a stochastic dynamics for a neural network which accounts for the effects of the refractory periods ͑absolute and relative͒ in the dynamics of a single neuron. The dynamics can be solved analytically in an extremely diluted network. We found a very rich scenario that presents retrieval phases and a period doubling route to chaos in the attractors of the overlap order parameter. Our model incorporates some characteristics that make it biologically appealing, such as asymmetric
more » ... efficacies, dilution of the synaptic matrix, absolute and relative refractory periods, complex retrieval dynamics, and low levels of activity in the retrieval regime.
doi:10.1103/physreve.53.5146 pmid:9964847 fatcat:rh3gpxkxnfgytox6bfy5fmglse