Hopf bifurcation and oscillations in homogeneous communication networks

Huibing Yin, Pang Paul Wang, Tansu Alpcan, Prashant G. Mehta

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we investigate stability and bifurcation arising in a communication network model with a large number of homogeneous (symmetric) users and a single bottleneck AQM queue. We carry out bifurcation analysis to study the effect of user delay and strength of feedback. It is shown that for any given delay, there exists a critical amount of feedback (due to AQM) at which the equilibrium loses stability and a limit cycling solution develops via a super-critical Hopf bifurcation. The conclusion is verified both numerically and analytically.

Original languageEnglish (US)
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - Dec 1 2008
Externally publishedYes
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Other

Other17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period7/6/087/11/08

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Keywords

  • Telecommunication-based automation systems
  • The Internet

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Yin, H., Wang, P. P., Alpcan, T., & Mehta, P. G. (2008). Hopf bifurcation and oscillations in homogeneous communication networks. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.2700