A Stochastic Map Model of Phase Transition in Internet Traffic
Kensuke Fukuda, Hideki Takayasu, Misako Takayasu · DOAJ (DOAJ: Directory of Open Access Journals) · 2004
We analyse the macroscopic dynamics of packet flow density in a WAN from the standpoint of statistical physics. Our results show the existence of a phase transition in macroscopic Internet traffic flow, which is characterized by three typical behaviors. We propose a simple autoregressive map model based on empirical phase transition phenomena, and show that it can reproduce the basic properties of actual traffic.