dc.creatorOlivares Zamora, Felipe Esteban
dc.creatorZunino, Luciano José
dc.creatorSoriano, Miguel C.
dc.creatorPérez, Darío Gabriel
dc.date.accessioned2021-01-12T14:02:08Z
dc.date.accessioned2022-10-15T06:49:48Z
dc.date.available2021-01-12T14:02:08Z
dc.date.available2022-10-15T06:49:48Z
dc.date.created2021-01-12T14:02:08Z
dc.date.issued2019-10
dc.identifierOlivares 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
dc.identifier2470-0053
dc.identifierhttp://hdl.handle.net/11336/122474
dc.identifier2470-0045
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4357106
dc.description.abstractIn 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.
dc.languageeng
dc.publisherAmerican Physical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.100.042215
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.042215
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectUNOBSERVED ORDINAL PATTERNS
dc.subjectNOISY CHAOTIC DYNAMICS
dc.subjectBANDT AND POMPE SYMBOLIZATION TECHNIQUE
dc.subjectSTRETCHED EXPONENTIAL MODEL
dc.titleUnraveling the decay of the number of unobserved ordinal patterns in noisy chaotic dynamics
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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