Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/23035
Title: Superfamily phenomena and motifs of networks induced from time series
Authors: Xu, X
Zhang, J
Small, M
Issue Date: 2008
Source: Proceedings of the National Academy of Sciences of the United States of America, 2008, v. 105, no. 50, p. 19601-19605
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.
Keywords: Chaos
Complex networks
Dimension
Embedding
Subgraphs
Publisher: National Academy of Sciences
Journal: Proceedings of the National Academy of Sciences of the United States of America 
ISSN: 0027-8424
EISSN: 1091-6490
DOI: 10.1073/pnas.0806082105
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