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From time series to complex networks: The phase space coarse graining

Minggang Wang and Lixin Tian

Physica A: Statistical Mechanics and its Applications, 2016, vol. 461, issue C, 456-468

Abstract: In this paper, we present a simple and fast computational method, the phase space coarse graining algorithm that converts a time series into a directed and weighted complex network. The constructed directed and weighted complex network inherits several properties of the series in its structure. Thereby, periodic series convert into regular networks, and random series do so into random networks. Moreover, chaotic series convert into scale-free networks. It is shown that the phase space coarse graining algorithm allows us to distinguish, identify and describe in detail various time series. Finally, we apply the phase space coarse graining algorithm to the practical observations series, international gasoline regular spot price series and identify its dynamic characteristics.

Keywords: Time series; Complex network; Phase space; Coarse graining; Gasoline spot price; Topological structure (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:461:y:2016:i:c:p:456-468

DOI: 10.1016/j.physa.2016.06.028

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