Oscillatory dynamics induced by time delay in an Internet congestion control model with ring topology

DOI10.1016/j.amc.2012.04.064zbMath1277.68028OpenAlexW2071889575MaRDI QIDQ387475

Shu Zhang, Jian Xu

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.064

zbMATH Keywords

method of multiple scalesHopf bifurcationdelayed differential equationsinternet congestion controlring network topology

Mathematics Subject Classification ID

Internet topics (68M11)

Related Items (4)

Consensus congestion control in multirouter networks based on multiagent system ⋮ Periodic solutions and complicated dynamics in network congestion control systems with state-dependent round-trip delays and non-smooth dropping probability ⋮ Periodic solutions, chaos and bi-stability in the state-dependent delayed homogeneous additive increase and multiplicative decrease/random early detection congestion control systems ⋮ Dynamics and the periodic solutions of the delayed non-smooth Internet TCP-RED congestion control system via HB-AFT

Cites Work

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• Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
• Rate control for communication networks: shadow prices, proportional fairness and stability
• Models for a self–managed Internet
• Stable, scalable, fair congestion control and aqm schemes that achieve high utilization in the internet
• Local bifurcation analysis of some dual congestion control algorithms
• A stability theorem for Internet congestion control

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