Showing math.APShow all
2 papers · 1 filter
math.AP2024
Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup
José Antonio Carrillo, Xu'an Dou, Pierre Roux +1
We introduce a novel reformulation of the mean-field system for pulse-coupled oscillators. It is based on writing a closed equation for the inverse distribution function associated…
math.AP2023
Well-posedness and stability of a stochastic neural field in the form of a partial differential equation
José Antonio Carrillo, Pierre Roux, Susanne Solem
A system of partial differential equations representing stochastic neural fields was recently proposed with the aim of modelling the activity of noisy grid cells when a mammal trav…