Single bumps in a 2-population homogenized neuronal network model
type: Item
instance of: scholarly article
title: Single bumps in a 2-population homogenized neuronal network model
zbMATH Open document ID: 1390.92013
author: Karina Kolodina
author: Anna Oleynik
author: J. Wyller
published in: Physica D
publication date: 2018-06-14T00:00:00Z
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 6889486
zbMATH Keywords: neural field models
zbMATH Keywords: homogenization theory
zbMATH Keywords: existence and stability of bumps
MaRDI profile type: Publication
full work available at URL: j.physd.2018.01.004
OpenAlex ID: W2783827706
cites work: Localized activity patterns in two-population neuronal networks
cites work: Heaviside World: Excitation and Self-Organization of Neural Fields
cites work: Dynamics of pattern formation in lateral-inhibition type neural fields
cites work: Spatiotemporal dynamics of continuum neural fields
cites work: Front Propagation in Heterogeneous Media
cites work: An Introduction to Fronts in Random Media
cites work: A General Convergence Result for a Functional Related to the Theory of Homogenization
cites work: Q3147550
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: Wave fronts in inhomogeneous neural field models
cites work: Waves in random neural media
cites work: Homogenization of a Wilson-Cowan model for neural fields
cites work: Two bump solutions of a homogenized Wilson-Cowan model with periodic microstructure
cites work: A one-population Amari model with periodic microstructure
cites work: Numerical analysis of bump solutions for neural field equations with periodic microstructure
cites work: Towards a two-scale calculus
cites work: Existence and properties of solutions for neural field equations
cites work: Some theoretical and numerical results for delayed neural field equations
cites work: Breathing Pulses in an Excitatory Neural Network
cites work: Waves, bumps, and patterns in neural field theories
cites work: Spectral Stability of Vortices in Two-Dimensional Bose–Einstein Condensates via the Evans Function and Krein Signature
cites work: Bifurcations of Stationary Solutions in an Interacting Pair of E-I Neural Fields
cites work: Snakes and ladders in an inhomogeneous neural field model
cites work: Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks
cites work: On the properties of nonlinear nonlocal operators arising in neural field models
cites work: Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity
cites work: Q3874765
cites work: Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network
cites work: EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS
DOI: 10.1016/J.PHYSD.2018.01.004
description: scientific article; zbMATH DE number 6889486