1 citations · 1 across the 4 of their papers we have counts for
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Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case
Eric Luçon, Christophe Poquet
We consider the long-time behavior of a population of interacting Hawkes processes on the real line, with spatial extension. The large population behavior of the system is governed…
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…
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…
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…