Iterative schemes for bump solutions in a neural field model
A Oleynik, A Ponosov, J Wyller - Differential Equations and Dynamical …, 2015 - Springer
A Oleynik, A Ponosov, J Wyller
Differential Equations and Dynamical Systems, 2015•SpringerWe develop two iteration schemes for construction of localized stationary solutions (bumps)
of a one-population Wilson–Cowan model with a smooth firing rate function. The first
scheme is based on the fixed point formulation of the stationary Wilson–Cowan model. The
second one is formulated in terms of the excitation width of a bump. Using the theory of
monotone operators in ordered Banach spaces we justify convergence of both iteration
schemes.
of a one-population Wilson–Cowan model with a smooth firing rate function. The first
scheme is based on the fixed point formulation of the stationary Wilson–Cowan model. The
second one is formulated in terms of the excitation width of a bump. Using the theory of
monotone operators in ordered Banach spaces we justify convergence of both iteration
schemes.
Abstract
We develop two iteration schemes for construction of localized stationary solutions (bumps) of a one-population Wilson–Cowan model with a smooth firing rate function. The first scheme is based on the fixed point formulation of the stationary Wilson–Cowan model. The second one is formulated in terms of the excitation width of a bump. Using the theory of monotone operators in ordered Banach spaces we justify convergence of both iteration schemes.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果