Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach

In this paper we introduce a multiscale symbolic information-theory approach for discriminating nonlinear deterministic and stochastic dynamics from time series associated with complex systems. More precisely, we show that the multiscale complexity-entropy causality plane is a useful representation...

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Autores principales: Zunino, Luciano José, Soriano, Miguel C., Rosso, Osvaldo A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126166
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id I19-R120-10915-126166
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
White noise
Series (mathematics)
Statistical physics
Econometrics
Time series
Nonlinear system
Chaotic
Mathematics
Complex system
Representation (mathematics)
Stochastic process
spellingShingle Física
White noise
Series (mathematics)
Statistical physics
Econometrics
Time series
Nonlinear system
Chaotic
Mathematics
Complex system
Representation (mathematics)
Stochastic process
Zunino, Luciano José
Soriano, Miguel C.
Rosso, Osvaldo A.
Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
topic_facet Física
White noise
Series (mathematics)
Statistical physics
Econometrics
Time series
Nonlinear system
Chaotic
Mathematics
Complex system
Representation (mathematics)
Stochastic process
description In this paper we introduce a multiscale symbolic information-theory approach for discriminating nonlinear deterministic and stochastic dynamics from time series associated with complex systems. More precisely, we show that the multiscale complexity-entropy causality plane is a useful representation space to identify the range of scales at which deterministic or noisy behaviors dominate the system's dynamics. Numerical simulations obtained from the well-known and widely used Mackey-Glass oscillator operating in a high-dimensional chaotic regime were used as test beds. The effect of an increased amount of observational white noise was carefully examined. The results obtained were contrasted with those derived from correlated stochastic processes and continuous stochastic limit cycles. Finally, several experimental and natural time series were analyzed in order to show the applicability of this scale-dependent symbolic approach in practical situations.
format Articulo
Articulo
author Zunino, Luciano José
Soriano, Miguel C.
Rosso, Osvaldo A.
author_facet Zunino, Luciano José
Soriano, Miguel C.
Rosso, Osvaldo A.
author_sort Zunino, Luciano José
title Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
title_short Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
title_full Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
title_fullStr Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
title_full_unstemmed Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
title_sort distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/126166
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AT sorianomiguelc distinguishingchaoticandstochasticdynamicsfromtimeseriesbyusingamultiscalesymbolicapproach
AT rossoosvaldoa distinguishingchaoticandstochasticdynamicsfromtimeseriesbyusingamultiscalesymbolicapproach
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