4 citations · 6 across the 7 of their papers we have counts for
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math.DS2016★ 1 cited
Center manifolds without a phase space
Gregory Faye, Arnd Scheel
We establish center manifold theorems that allow one to study the bifurcation of small solutions from a trivial state in systems of functional equations posed on the real line. The…
math.DS2014★ 1 cited
Pinning and Unpinning in Nonlocal Systems
Taylor Anderson, Gregory Faye, Arnd Scheel +1
We investigate pinning regions and unpinning asymptotics in nonlocal equations. We show that phenomena are related to but different from pinning in discrete and inhomogeneous media…
math.DS2010★ 4 cited
Some theoretical results for a class of neural mass equations
Grégory Faye, Pascal Chossat, Olivier Faugeras
We study the neural field equations introduced by Chossat and Faugeras in their article to model the representation and the processing of image edges and textures in the hypercolum…