62 citations · 117 across the 28 of their papers we have counts for
Showing 2016Show all
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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…
nlin.PS2016★ 10 cited
Linear spreading speeds from nonlinear resonant interaction
Gregory Faye, Matt Holzer, Arnd Scheel
We identify a new mechanism for propagation into unstable states in spatially extended systems, that is based on resonant interaction in the leading edge of invasion fronts. Such r…