Necessary and sufficient conditions for Hopf bifurcation in tri-neuron equation with a delay
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for Hopf bifurcation in tri-neuron equation with a delay
zbMATH Open document ID: 1197.34130
author: Xiaofeng Liao
author: Xiaoming Liu
published in: Chaos, Solitons and Fractals
publication date: 2010-10-31T00:00:00Z
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92C20
zbMATH DE Number: 5808913
MaRDI profile type: Publication
full work available at URL: j.chaos.2007.07.096
OpenAlex ID: W2091506053
cites work: Neurons with graded response have collective computational properties like those of two-state neurons.
cites work: Q3859612
cites work: Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
cites work: Bifurcation analysis on a two-neuron system with distributed delays
cites work: Hopf bifurcation on a two-neuron system with distributed delays: a frequency domain approach
cites work: Hopf bifurcation and chaos analysis of Chen's system with distributed delays
cites work: Hopf bifurcation and chaos in macroeconomic models with policy lag
cites work: Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
cites work: Global existence of periodic solutions in a tri-neuron network model with delays
cites work: Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
cites work: Hopf bifurcating periodic orbits in a ring of neurons with delays
cites work: Stability and bifurcation in a neural network model with two delays.
cites work: Bifurcations in a planar system of differential delay equations modeling neural activity
cites work: Delay induced periodicity in a neural netlet of excitation and inhibition
cites work: Introduction to functional differential equations
cites work: Q3948194
DOI: 10.1016/J.CHAOS.2007.07.096
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description: scientific article; zbMATH DE number 5808913