Local Hopf bifurcation and global existence of periodic solutions in TCP system

DOI10.1007/S10483-010-1312-XzbMath1210.34116OpenAlexW1964798418MaRDI QIDQ605177

Maoxin Liao, Xian Hua Tang, Chang-Jin Xu

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1312-x

zbMATH Keywords

stabilitydelayed ODEHopf local and global bifurcation

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) 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) Invariant manifolds of functional-differential equations (34K19)

Related Items (3)

Stability and Hopf bifurcation analysis of a TCP/RAQM network with ISMC procedure ⋮ Dynamical analysis in exponential RED algorithm with communication delay ⋮ Suppression of oscillatory congestion via trunk link bandwidth and control gain in star network

Cites Work

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• Delay differential equations: with applications in population dynamics
• Theory of functional differential equations. 2nd ed
• Fairness and stability of end-to-end congestion control
• Symmetric functional differential equations and neural networks with memory

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