Periodic solutions in an inhibitory two-neuron network.
type: Item
instance of: scholarly article
title: Periodic solutions in an inhibitory two-neuron network.
zbMATH Open document ID: 1044.34034
author: Shangjiang Guo
author: Lihong Huang
published in: Journal of Computational and Applied Mathematics
publication date: 2003-11-25T00:00:00Z
review text: The authors consider a delayed network of two neurons with self-feedback and interaction described by an all-or-none threshold function. They show that the dynamics of the network can be described in terms of the interaction of a one-dimensional map, and they obtain the existence and attractivity of periodic solutions.
reviewed by: Marcos Lizana
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 2009279
zbMATH Keywords: neural networks
zbMATH Keywords: self-feedback
zbMATH Keywords: one-dimensional map
zbMATH Keywords: periodic solution
MaRDI profile type: Publication
full work available at URL: j.cam.2003.08.002
OpenAlex ID: W2060610288
cites work: Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
cites work: Cellular neural networks: theory
cites work: Strange attractors in delayed cellular neural networks
cites work: Introduction to functional differential equations
cites work: Stability and convergence in strongly monotone dynamical systems.
cites work: Neurons with graded response have collective computational properties like those of two-state neurons.
cites work: Dynamics of inhibitory artificial neural networks with threshold nonlinearity
cites work: Bifurcations, stability, and monotonicity properties of a delayed neural network model
cites work: Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
cites work: Contracting return maps for some delay differential equations
cites work: Stability and bifurcation in a neural network model with two delays.
DOI: 10.1016/J.CAM.2003.08.002
description: scientific article; zbMATH DE number 2009279