Advances in Dynamical Systems and Applications
  • Year: 2009
  • Volume: 4
  • Issue: 1

Global Hopf Bifurcation for an Internet Congestion Model

  • Author:
  • Kejun Zhuang
  • Total Page Count: 8
  • Page Number: 151 to 158

Anhui University of Finance and Economics, School of Statistics and Applied Mathematics, Bengbu, 233030, P. R. China.

AMS Subject Classifications: 34K13, 34K18.

Abstract

In this paper, our attention is focused on the global existence of bifurcating periodic solutions. We show that periodic solutions exist after the second critical value of time delay. Furthermore, a numerical example is given.

Keywords

Internet congestion model, global Hopf bifurcation, periodic solution