Time series irreversibility: a visibility graph approach

Lacasa Saiz de Arce, Lucas; Nuñez Nuñez, Angel Manuel; Roldán, E.; Parrondo, J.M.R. y Luque Serrano, Bartolome (2012). Time series irreversibility: a visibility graph approach. "The European Physical Journal. B", v. 85 (n. 6); pp. 217-1. ISSN 1434-6028. https://doi.org/10.1140/epjb/e2012-20809-8.

Descripción

Título: Time series irreversibility: a visibility graph approach
Autor/es:
  • Lacasa Saiz de Arce, Lucas
  • Nuñez Nuñez, Angel Manuel
  • Roldán, E.
  • Parrondo, J.M.R.
  • Luque Serrano, Bartolome
Tipo de Documento: Artículo
Título de Revista/Publicación: The European Physical Journal. B
Fecha: 2012
Volumen: 85
Materias:
Palabras Clave Informales: Statistical and Nonlinear Physics
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Matemática Aplicada y Estadística [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We propose a method to measure real-valued time series irreversibility which combines two different tools: the horizontal visibility algorithm and the Kullback-Leibler divergence. This method maps a time series to a directed network according to a geometric criterion. The degree of irreversibility of the series is then estimated by the Kullback-Leibler divergence (i.e. the distinguishability) between the in and out degree distributions of the associated graph. The method is computationally efficient and does not require any ad hoc symbolization process. We find that the method correctly distinguishes between reversible and irreversible stationary time series, including analytical and numerical studies of its performance for: (i) reversible stochastic processes (uncorrelated and Gaussian linearly correlated), (ii) irreversible stochastic processes (a discrete flashing ratchet in an asymmetric potential), (iii) reversible (conservative) and irreversible (dissipative) chaotic maps, and (iv) dissipative chaotic maps in the presence of noise. Two alternative graph functionals, the degree and the degree-degree distributions, can be used as the Kullback-Leibler divergence argument. The former is simpler and more intuitive and can be used as a benchmark, but in the case of an irreversible process with null net current, the degree-degree distribution has to be considered to identify the irreversible nature of the series

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
Comunidad de MadridMODELICOSin especificarSin especificarSin especificar

Más información

ID de Registro: 16708
Identificador DC: http://oa.upm.es/16708/
Identificador OAI: oai:oa.upm.es:16708
Identificador DOI: 10.1140/epjb/e2012-20809-8
Depositado por: Memoria Investigacion
Depositado el: 13 Nov 2014 16:50
Ultima Modificación: 13 Nov 2014 16:50
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