Attractors and time averages for random maps
Page 1
Vítor Araújo (2000)
Annales de l'I.H.P. Analyse non linéaire
R. E. Lee DeVille, C. S. Peskin, J. H. Spencer (2010)
Mathematical Modelling of Natural Phenomena
We analyze a stochastic neuronal network model which corresponds to an all-to-all network of discretized integrate-and-fire neurons where the synapses are failure-prone. This network exhibits different phases of behavior corresponding to synchrony and asynchrony, and we show that this is due to the limiting mean-field system possessing multiple attractors. We also show that this mean-field limit exhibits a first-order phase transition as a function...
Witteveen, Jeroen A.S., Bijl, Hester (2009)
Mathematical Problems in Engineering
Banerjee, Sandip, Bhattacharya, Rakhi, Chakrabarti, C.G. (2000)
International Journal of Mathematics and Mathematical Sciences
Page 1