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20112025
most citedEmergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach

18 citations · 43 across the 13 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.PR2018

Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model

Eric Luçon, Christophe Poquet

We consider the long-time behavior of a population of mean-field oscillators modeling the activity of interacting excitable neurons in large population. Each neuron is represented…

math.AP2018★ 18 cited

Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach

Eric Lucon, Christophe Poquet

We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motiv…