Complex Dynamics in Communication Networks
Data Traffic, Topology and Congestion
, R.J. Mondrag´on2
, M. Woolf1
School of Mathematical Sciences and
Department of Electronic Engineering
Queen Mary, University of London
The aim of this paper is to describe the behaviour of packet traffic flowing on realistic networks as load
is varied. The use of intermittency in iterated maps to provide various relevant statistical types of binary
data will be described. The dynamical modelling of packet traffic using Erramilli intermittency maps is
introduced together with the dynamics of Transmission Control Protocols. Regular and scale-free network
topologies are used for Internet packet traffic modelling and the congestion behaviour of packet lifetimes
on these networks under increasing load is investigated.
We consider the interaction between the topology of a network and the traffic carried along its channels.