Neimark-sacker and flip bifurcations in a discrete-time dynamic system for internet congestion
Gabriela Mircea, Dumitru Opriş · 2009
Abstract:- The aim of this paper is to study the Neimark-Sacker and flip bifurcations for the discrete-time dynamic system, which describes the Internet congestion, with a single link and two sources. We describe the algorithm in order to determine the Neimark-Sacker bifurcation and the normal form. We establish the existence of a flip bifurcation for the case when the model’s two parameters depend on the real parameter a, which influences the existence of the bifurcation. The numerical simulations verify the theoretical results.