Numerical analysis of bump solutions for neural field equations with periodic microstructure
type: Item
instance of: scholarly article
title: Numerical analysis of bump solutions for neural field equations with periodic microstructure
zbMATH Open document ID: 1410.92011
author: Elena Malyutina
author: Arcady Ponosov
author: J. Wyller
published in: Applied Mathematics and Computation
publication date: 2018-06-18T00:00:00Z
full work available at URL: http://hdl.handle.net/11250/2576230
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6890572
zbMATH Keywords: rate equations in neuroscience
zbMATH Keywords: periodic
zbMATH Keywords: homogenization
describes a project that uses: GQTPAR
MaRDI profile type: Publication
OpenAlex ID: W2078105110
cites work: Dynamics of pattern formation in lateral-inhibition type neural fields
cites work: Waves, bumps, and patterns in neural field theories
cites work: Spatiotemporal dynamics of continuum neural fields
cites work: PDE Methods for Nonlocal Models
cites work: Exploiting the Hamiltonian structure of a neural field model
cites work: Existence and stability of local excitations in homogeneous neural fields
cites work: Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks
cites work: Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
cites work: On the properties of nonlinear nonlocal operators arising in neural field models
cites work: Neural fields with sigmoidal firing rates: Approximate solutions
cites work: Front Propagation in Heterogeneous Media
cites work: An Introduction to Fronts in Random Media
cites work: Traveling fronts and wave propagation failure in an inhomogeneous neural network
cites work: Spatially periodic modulation of cortical patterns by long-range horizontal connections
cites work: Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media
cites work: Q4876689
cites work: A General Convergence Result for a Functional Related to the Theory of Homogenization
cites work: Q3147550
cites work: Homogenization of a Wilson-Cowan model for neural fields
cites work: A one-population Amari model with periodic microstructure
cites work: Waves in random neural media
cites work: Two-scale convergence of some integral functionals
cites work: Computing a Trust Region Step
DOI: 10.1016/J.AMC.2015.03.058
description: scientific article; zbMATH DE number 6890572