1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
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…
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…
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…
Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model
Eric Luçon, Christophe Poquet
The aim of the paper is to address the long time behavior of the Kuramoto model of mean-field coupled phase rotators, subject to white noise and quenched frequencies. We analyse th…
Synchronization and random long time dynamics for mean-field plane rotators
Lorenzo Bertini, Giambattista Giacomin, Christophe Poquet
We consider the natural Langevin dynamics which is reversible with respect to the mean-field plane rotator (or classical spin XY) measure. It is well known that this model exhibits…