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Transcript
Interacting Network Elements: Chaos and Congestion Propagation
Gábor Vattay
Department of Physics of Complex Systems
and Communication Networks Laboratory1
Eötvös University
H-1117 Budapest, Pázmány P. s. 1/A, Hungary
In mobile and ad hoc networks bandwidth is a scarce resource. Unlike in over provisioned
Internet core networks, network elements in these are often used up to their limits over an
extended period of time. Adaptive elastic traffic flows, such as TCP, struggle with each other for
higher bandwidth share. Also, gradual dominance of peer-to-peer applications over webbing
changes our assumptions on the distribution and nature of traffic sources. The role of servers and
clients becomes more symmetric. Persistent massive data uploads can originate in areas of the
network which were formerly designated to downlink traffic with the assumption of little or no
uplink traffic. This new interacting complex network environment leads to new non-linear effects
in the core, which were formerly observed in access networks only.
All these new developments are going to increase the interaction of traffic flows which calls for
the application of methods developed for the statistical description of interacting non-linear
physical systems. In this presentation our research results in this domain are summarized. First it
is demonstrated that microscopic network details can cause synchronization or chaos (Veres and
Boda Infocom 2000) affecting the macroscopic behavior of the network. The detailed mechanism
and description is discussed. Evidence is given supporting a description in terms of discrete
chaos. Proposals will be given how to control this behavior with the methods of chaos control.
Next the flow-to-flow propagation and inheritance of the statistical properties of traffic via shared
congestion (Kenesi, Molnár, Veres, Vattay, SIGCOMM 2000) is discussed. It is shown that mode
locking (frequency locking due to external periodic forcing), a well-known feature of certain
nonlinear systems, is partially responsible for the effect. Finally new ideas on the propagation of
congestion are discussed: Propagation of congestion is very common in congested highway
vehicle traffic. Fukuda and Takayashu (NTT and Sony) discovered similar router-to-router
congestion propagation in a sequence of highly congested routers at Keo University, Japan in
1999. We think that this phenomenon will be a general feature in the new network environments.
It will be verified why such propagation occurs in TCP/IP traffic.
1
A joint laboratory of Eötvös Univesity and Ericsson Research
Extended Abstract for "NeXtworking'03"
First COST-IST(EU) - NSF(USA) Workshop on Exchanges & Trends
in Networking, June 23-25, 2003, Chania, Crete, Greece