Hopf Bifurcation of the Wireless Network Congestion Model with State-Dependent Round Trip Delay

DOI10.1142/S0218127418501109zbMath1402.34082OpenAlexW2890383223WikidataQ129293537 ScholiaQ129293537MaRDI QIDQ4691110

Li-Jun Pei, Yangyang Wu

Publication date: 18 October 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418501109

zbMATH Keywords

Hopf bifurcationwireless networkstate-dependent delaycongestion control

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (3)

Adaptive fractional order predictive sliding mode control for congestion control of wireless access networks ⋮ Stability of stochastic state-dependent delayed complex networks under stochastic hybrid impulsive control ⋮ Effect of two forms of feedback on the performance of the rate control protocol (RCP)

Uses Software

• DDE-BIFTOOL
• WinPP

Cites Work

• Unnamed Item
• Hopf bifurcation analysis in a fluid flow model of internet congestion control algorithm
• An \(H_{\infty }\) approach to congestion control design for AQM routers supporting TCP flows in wireless access networks
• Stability and Hopf bifurcation of a class of TCP/AQM networks
• Hopf bifurcation analysis for congestion control with heterogeneous delays
• Hopf bifurcation and stability analysis of a congestion control model with delay in wireless access network
• Dynamics of a congestion control model in a wireless access network
• State feedback control at Hopf bifurcation in an exponential RED algorithm model
• Nonlinear dynamics of Internet congestion control: a frequency-domain approach
• BIFURCATION CONTROL OF A CONGESTION CONTROL MODEL VIA STATE FEEDBACK
• Existence and uniqueness of solutions of a functional differential equation modeling thresholds
• Stability and Bifurcation of Delayed Fractional-Order Dual Congestion Control Algorithms
• Analysis and design of controllers for AQM routers supporting TCP flows
• Local bifurcation analysis of some dual congestion control algorithms
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

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