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math.FA2017
Existence and stability of periodic solutions in a neural field equation
Karina Kolodina, Vadim Kostrykin, Anna Oleynik
We study the existence and linear stability of stationary periodic solutions to a neural field model, an intergo-differential equation of the Hammerstein type. Under the assumption…
math.FA2013
Iterative Schemes for Bump Solutions in a Neural Field Model
Anna Oleynik, Arcady Ponosov, John Wyller
We develop two iteration schemes for construction of localized stationary solutions (bumps) of a one-population Wilson-Cowan model with a smoothed Heaviside firing rate function. T…