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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…
math.AP2018
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…