Artículo
Unraveling the decay of the number of unobserved ordinal patterns in noisy chaotic dynamics
Fecha de publicación:
10/2019
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
2470-0053
e-ISSN:
2470-0045
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper, we introduce a model to describe the decay of the number of unobserved ordinal patterns as a function of the time series length in noisy chaotic dynamics. More precisely, we show that a stretched exponential model fits the decay of the number of unobserved ordinal patterns for both discrete and continuous chaotic systems contaminated with observational noise, independently of the noise level and the sampling time. Numerical simulations, obtained from the logistic map and the x coordinate of the Lorenz system, both operating in a totally chaotic dynamics were used as test beds. In addition, we contrast our results with those obtained from pure stochastic dynamics. The fitting parameters, namely, the stretching exponent and the characteristic decay rate, are used to distinguish whether the dynamical nature of the data sequence is stochastic or chaotic. Finally, the analysis of experimental records associated with the hyperchaotic pulsations of an optoelectronic oscillator allows us to illustrate the applicability of the proposed approach in a practical context.
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Articulos(CIOP)
Articulos de CENTRO DE INVEST.OPTICAS (I)
Articulos de CENTRO DE INVEST.OPTICAS (I)
Citación
Olivares Zamora, Felipe Esteban; Zunino, Luciano José; Soriano, Miguel C.; Pérez, Darío Gabriel; Unraveling the decay of the number of unobserved ordinal patterns in noisy chaotic dynamics; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 042215; 10-2019; 1-8
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