Existence and stability of local excitations in homogeneous neural fields
type: Item
instance of: scholarly article
title: Existence and stability of local excitations in homogeneous neural fields
zbMATH Open document ID: 0406.92010
DOI: 10.1007/BF00275151
author: K. Appert
published in: Journal of Mathematical Biology
publication date: 1979-01-01T00:00:00Z
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 3632284
zbMATH Keywords: Homogeneous Neural Fields
zbMATH Keywords: Dynamics of Excitation Patterns
zbMATH Keywords: Schauder Fixed-Point Theorem
zbMATH Keywords: Waveform Stability
zbMATH Keywords: Lateral Inhibition
zbMATH Keywords: Perron- Frobenius Theorem
zbMATH Keywords: Equilibrium Value
zbMATH Keywords: Positive Linear Operators
Wikidata QID: Q40246192
MaRDI profile type: Publication
cites work: Steady-state and limit cycle activity of mass of neurons forming simple feedback loops (II): Distributed parameter model
cites work: Homogeneous nets of neuron-like elements
cites work: Dynamics of pattern formation in lateral-inhibition type neural fields
cites work: Q3864342
cites work: A mathematical theory of lateral sensory inhibition
cites work: Q5727924
cites work: Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks
cites work: A field theory of neural nets: I: Derivation of field equations
cites work: A field theory of neural nets: II. Properties of the field equations
cites work: On the theory of lateral inhibition
cites work: On the activities in a continuous neural network
cites work: Analysis and simulation of double-layer neural networks with mutually inhibiting interconnections
cites work: Inhibitionsfelder
cites work: Q5846857
cites work: A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
full work available at URL: https://doi.org/10.1007/bf00275151
OpenAlex ID: W1981225043
description: scientific article; zbMATH DE number 3632284