Scale-free networks out of multifractal chaos

Abstract

Fractal and multifractal properties characterize many realworld scale-free networks. Here we present a deterministic approach to generate power-law networks from multifractal chaotic time series. We show, both analytically and numerically, how the resulting scale-free topologies preserve the multifractal information of the original chaotic source embedded in the exponent of the power-law degree distribution.