Hopf bifurcation and stability analysis of a congestion control model with delay in wireless access network
type: Item
instance of: scholarly article
title: Hopf bifurcation and stability analysis of a congestion control model with delay in wireless access network
zbMATH Open document ID: 1474.34490
DOI: 10.1155/2014/632564
author: Xiao-Ke Sun
author: Huicheng Wang
author: Wen-Bo Zhao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We drive a scalar delay differential system to model the congestion of a wireless access network setting. The Hopf bifurcation of this system is investigated using the control and bifurcation theory; it is proved that there exists a critical value of delay for the stability. When the delay value passes through the critical value, the system loses its stability and a Hopf bifurcation occurs. Furthermore, the direction and stability of the bifurcating periodic solutions are derived by applying the normal form theory and the center manifold theorem. Finally, some examples and numerical simulations are presented to show the feasibility of the theoretical results.
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7022784
MaRDI profile type: Publication
Wikidata QID: Q59040217
full work available at URL: https://doi.org/10.1155/2014/632564
OpenAlex ID: W2167618998
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description: scientific article; zbMATH DE number 7022784