Dynamical analysis in exponential RED algorithm with communication delay

DOI10.1186/S13662-015-0711-4zbMath1419.34192OpenAlexW2268030641WikidataQ59468313 ScholiaQ59468313MaRDI QIDQ1796466

Chang-Jin Xu, Pei-Luan Li

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0711-4

zbMATH Keywords

stabilityperiodic solutionHopf bifurcationcongestion controlexponential RED

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queues and service in operations research (90B22) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• Local Hopf bifurcation and global existence of periodic solutions in TCP system
• Controlling bifurcations and chaos in TCP-UDP-RED
• Necessary and sufficient conditions for Hopf bifurcation in exponential RED algorithm with communication delay
• The mathematics of internet congestion control
• A general stability criterion for congestion control with diverse communication delays
• Local bifurcation analysis of some dual congestion control algorithms
• Asymptotic Stability of Congestion Control Systems With Multiple Sources

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