STABILITY SWITCH BOUNDARIES IN AN INTERNET CONGESTION CONTROL MODEL WITH DIVERSE TIME DELAYS

DOI10.1142/S0218127413300164zbMath1270.34181OpenAlexW2023234822MaRDI QIDQ2845293

Kwok Wai Chung, Jian Xu, Shu Zhang

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413300164

zbMATH Keywords

Internet congestion controldiverse time delaysstability switch boundarytangent double Hopf bifurcation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

Model of a Frame of Dynamic Routing and Its Equilibrium ⋮ The Filippov equilibrium and sliding motion in an Internet congestion control model ⋮ Suppression of oscillatory congestion via trunk link bandwidth and control gain in star network ⋮ Statistical basin of attraction in time-delayed cutting dynamics: modelling and computation

Cites Work

• Oscillation control for \(n\)-dimensional congestion control model via time-varying delay
• Hopf and resonant double Hopf bifurcation in congestion control algorithm with heterogeneous delays
• Hopf bifurcation in an internet congestion control model
• Quasiperiodic motion induced by heterogeneous delays in a simplified Internet congestion control model
• On stability crossing curves for general systems with two delays
• Rate control for communication networks: shadow prices, proportional fairness and stability
• OSCILLATION AND PERIOD DOUBLING IN TCP/RED SYSTEM: ANALYSIS AND VERIFICATION
• Models for a self–managed Internet

This page was built for publication: STABILITY SWITCH BOUNDARIES IN AN INTERNET CONGESTION CONTROL MODEL WITH DIVERSE TIME DELAYS