Multi-scaling chaotic map suitable for modelling aggregate TCP/IP and MPEG4 traffic streams

Both TCP/IP traffic and MPEG4 scalable video are known to exhibit multi-fractal behaviour. By subdividing the intermittency portion of a chaotic map, packet traffic with multi-fractal scaling can be modelled. This novel chaotic map structure accurately reproduces the scaling behaviour, and is straightforward to parameterise from scaling measurements and finite timescale ranges. Unlike cascade models, the multi-scaling chaotic map can be employed in continuous online generation, offering the real possibility of an aggregate model capable of reacting to network conditions.