The MAPS control paradigm: using chaotic maps to control telecoms networks

This paper proposes a new control method for telecommunications networks based on chaotic dynamics. Self-similar behaviour has been observed in a variety of services and networks. ATM is a unifying vehicle for transporting a wide range of traffic streams, and hence is a focus for assessing the impact of self similarity on networks. Chaotic maps have been used to model self-similar traffic. Using this approach, we present results that show the sensitivity of the Hurst parameter to the dynamical parameters. Conventional control techniques for ATM each address only a single time scale, and hence are less effective as a result of self-similarity in the traffic behaviour. We set out the MAPS control paradigm, using local control techniques in coupled map lattices, which aims to effect control over the range of relevant timescales.