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Ambiguities in recurrence-based complex network representations of time series.
- Source :
-
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2010 Jan; Vol. 81 (1 Pt 2), pp. 015101. Date of Electronic Publication: 2010 Jan 15. - Publication Year :
- 2010
-
Abstract
- Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of networks based on recurrences in phase space are investigated in some detail. We discuss the main requirements that permit a feasible system-theoretic interpretation of network topology in terms of dynamically invariant phase-space properties. Possible artifacts induced by disregarding these requirements are pointed out and systematically studied. Finally, a rigorous interpretation of the clustering coefficient and the betweenness centrality in terms of invariant objects is proposed.
Details
- Language :
- English
- ISSN :
- 1550-2376
- Volume :
- 81
- Issue :
- 1 Pt 2
- Database :
- MEDLINE
- Journal :
- Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication Type :
- Academic Journal
- Accession number :
- 20365421
- Full Text :
- https://doi.org/10.1103/PhysRevE.81.015101