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Título

Permutation-information-theory approach to unveil delay dynamics from time-series analysis

AutorZunino, Luciano ; Soriano, Miguel C.; Fischer, Ingo ; Rosso, Osvaldo A.; Mirasso, Claudio R.
Fecha de publicación2010
EditorAmerican Physical Society
CitaciónPhysical Review E 82, 046212 (1-9) (2010)
ResumenIn this paper a novel approach to identify delay phenomena from time series is developed. We show that it is possible to perform a reliable time delay identification by using quantifiers derived from information theory, more precisely, permutation entropy and permutation statistical complexity. These quantifiers show clear extrema when the embedding delay of the symbolic reconstruction matches the characteristic time delay of the system. Numerical data originating from a time delay system based on the well-known Mackey-Glass equations operating in the chaotic regime were used as test beds. We show that our method is straightforward to apply and robust to additive observational and dynamical noise. Moreover, we find that the identification of the time delay is even more efficient in a noise environment. Our permutation approach is also able to recover the time delay in systems with low feedback rate or high nonlinearity.
DescripciónPACS: 05.45.Tp, 89.70.Cf, 02.30.Ks
Versión del editorhttp://dx.doi.org/10.1103/PhysRevE.82.046212
URIhttp://hdl.handle.net/10261/44665
DOI10.1103/PhysRevE.82.046212
ISSN1539-3755
Aparece en las colecciones: (IFISC) Artículos
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