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Scale-free networks emerging from multifractal time series

Budroni, M. A., Baronchelli, A. & Pastor-Satorras, R. (2017). Scale-free networks emerging from multifractal time series. Physical Review E (PRE), 95(5), article number 052311. doi: 10.1103/physreve.95.052311


Methods connecting dynamical systems and graph theory have attracted increasing interest in the past few years, with applications ranging from a detailed comparison of different kinds of dynamics to the characterisation of empirical data. Here we investigate the effects of the (multi)fractal properties of a time signal, common in sequences arising from chaotic or strange attractors, on the topology of a suitably projected network. Relying on the box counting formalism, we map boxes into the nodes of a network and establish analytic expressions connecting the natural measure of a box with its degree in the graph representation. We single out the conditions yielding to the emergence of a scale-free topology, and validate our findings with extensive numerical simulations.

Publication Type: Article
Additional Information: Copyright American Physical Society, 2017
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
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