Hopf and resonant double Hopf bifurcation in congestion control algorithm with heterogeneous delays

DOI10.1007/s11071-010-9670-1zbMath1204.93100OpenAlexW2023512408MaRDI QIDQ623926

Defang Liu, Shaojiang Deng, Song-Tao Guo

Publication date: 8 February 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9670-1

zbMATH Keywords

stabilityHopf bifurcationcongestion controlcodimension-two bifurcationperturbation-incremental method

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Traffic problems in operations research (90B20) Dynamical systems in control (37N35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

Local stability and Hopf bifurcation of two-dimensional nonlinear descriptor system ⋮ Stability and bifurcation analysis in a FAST TCP model with feedback delay ⋮ The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence ⋮ Robust decentralized adaptive nonquadratic congestion control algorithm for a class of delayed networks ⋮ Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system ⋮ Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks ⋮ STABILITY SWITCH BOUNDARIES IN AN INTERNET CONGESTION CONTROL MODEL WITH DIVERSE TIME DELAYS

Uses Software

• PDDE-CONT

Cites Work

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