A.Drogoul have studied invariant manifolds for delay differential equations with applications to neural fields models. He also looked at the dynamics of mean field models as published in Fournier:2014. He is now (as of 2016) at Thales Alenia Space (Cannes - France)
Reference
@inproceedings{STUDENT,
author = "A. Drogoul",
title = "Dynamics of mean field equations for neural networks.",
year = 2014,
journal = "Postdoc, 2 years from",
month = "Oct",
url = "https://sites.google.com/site/drogoulaudric/home"
}