Hopf bifurcation analysis in a dual model of Internet congestion control algorithm with communication delay

Simple item page
dc.creatorDing, Dawei
dc.creatorZhu, Jie
dc.creatorLuo, Xiaoshu
dc.creatorLiu, Yuliang
dc.date2007-12-22
dc.date.accessioned2026-07-07T08:51:07Z
dc.date.available2026-07-07T08:51:07Z
dc.descriptionThis paper focuses on the delay induced Hopf bifurcation in a dual model of Internet congestion control algorithms which can be modeled as a time-delay system described by a one-order delay differential equation (DDE). By choosing communication delay as the bifurcation parameter, we demonstrate that the system loses its stability and a Hopf bifurcation occurs when communication delay passes through a critical value. Moreover, the bifurcating periodic solution of system is calculated by means of perturbation methods. Discussion of stability of the periodic solutions involves the computation of Floquet exponents by considering the corresponding Poincare -Lindstedt series expansion. Finally, numerical simulations for verify the theoretical analysis are provided.
dc.description18 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0712.3831
dc.identifierhttp://arxiv.org/abs/0712.3831
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144825
dc.subjectNetworking and Internet Architecture
dc.titleHopf bifurcation analysis in a dual model of Internet congestion control algorithm with communication delay
dc.typetext

Files

Collections

arXiv