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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 2021Show all

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math.PR2021

Periodicity and longtime diffusion for mean field systems in

Eric Luçon, Christophe Poquet

We study in this paper the longtime behavior of some large but finite populations of interacting stochastic differential equations whose (infinite population) limit Fokker-Planck P…

math.AP2021

Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations

Eric Luçon, Christophe Poquet

We consider a class of nonlinear Fokker-Planck equations describing the dynamics of an infinite population of units within mean-field interaction. Relying on a slow-fast viewpoint…