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Superfamily phenomena and motifs of networks induced from time series.

ABSTRACT: We introduce a transformation from time series to complex networks and then study the relative frequency of different subgraphs within that network. The distribution of subgraphs can be used to distinguish between and to characterize different types of continuous dynamics: periodic, chaotic, and periodic with noise. Moreover, although the general types of dynamics generate networks belonging to the same superfamily of networks, specific dynamical systems generate characteristic dynamics. When applied to discrete (map-like) data this technique distinguishes chaotic maps, hyperchaotic maps, and noise data.

SUBMITTER: Xu X

PROVIDER: S-EPMC2604928 | biostudies-literature | 2008 Dec

REPOSITORIES: biostudies-literature

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Superfamily phenomena and motifs of networks induced from time series.

Xu Xiaoke X Zhang Jie J Small Michael M

Proceedings of the National Academy of Sciences of the United States of America 20081208 50

We introduce a transformation from time series to complex networks and then study the relative frequency of different subgraphs within that network. The distribution of subgraphs can be used to distinguish between and to characterize different types of continuous dynamics: periodic, chaotic, and periodic with noise. Moreover, although the general types of dynamics generate networks belonging to the same superfamily of networks, specific dynamical systems generate characteristic dynamics. When ap ...[more]

PMID: 19064916

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