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De Micco, L.; Fernández, J.G.; Larrondo, H.A.; Plastino, A.; Rosso, O.A. "Sampling period, statistical complexity, and chaotic attractors" (2012) Physica A: Statistical Mechanics and its Applications. 391(8):2564-2575
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Abstract:

We analyze the statistical complexity measure vs. entropy plane-representation of sampled chaotic attractors as a function of the sampling period τ and show that, if the Bandt and Pompe procedure is used to assign a probability distribution function (PDF) to the pertinent time series, the statistical complexity measure (SCM) attains a definite maximum for a specific sampling period tM. On the contrary, the usual histogram approach for assigning PDFs to a time series leads to essentially constant SCM values for any sampling period τ. The significance of tM is further investigated by comparing it with typical times found in the literature for the two main reconstruction processes: the Takens' one in a delay-time embedding, on one hand, and the exact NyquistShannon reconstruction, on the other one. It is shown that tM is compatible with those times recommended as adequate delay ones in Takens' reconstruction. The reported results correspond to three representative chaotic systems having correlation dimension 2< D2<3. One recent experiment confirms the analysis presented here. © 2011 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Sampling period, statistical complexity, and chaotic attractors
Autor:De Micco, L.; Fernández, J.G.; Larrondo, H.A.; Plastino, A.; Rosso, O.A.
Filiación:Departamentos de Física y de Ingeniería Electrónica, Facultad de Ingeniería, Universidad Nacional de Mar Del Plata, Av. Juan B. Justo 4302, 7600 Mar del Plata, Argentina
Instituto de Física, CCT-Conicet, Universidad Nacional de la Plata (UNLP), C.C. 727, 1900 La Plata, Argentina
Chaos and Biology Group, Instituto de Cálculo, Universidad de Buenos Aires, Pabellón II, 1428 Ciudad de Buenos Aires, Argentina
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Av. Antônio Carlos, 6627, 31270-901 Belo Horizonte MG, Brazil
CONICET, Argentina
Palabras clave:Chaos; Nyquist reconstruction; Sampling; Takens reconstruction; Chaotic attractors; Correlation dimensions; Delay Time; Nyquist; Reconstruction process; Sampling period; Statistical complexity; Chaos theory; Chaotic systems; Probability distributions; Time series; Sampling
Año:2012
Volumen:391
Número:8
Página de inicio:2564
Página de fin:2575
DOI: http://dx.doi.org/10.1016/j.physa.2011.12.042
Título revista:Physica A: Statistical Mechanics and its Applications
Título revista abreviado:Phys A Stat Mech Appl
ISSN:03784371
CODEN:PHYAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v391_n8_p2564_DeMicco

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Citas:

---------- APA ----------
De Micco, L., Fernández, J.G., Larrondo, H.A., Plastino, A. & Rosso, O.A. (2012) . Sampling period, statistical complexity, and chaotic attractors. Physica A: Statistical Mechanics and its Applications, 391(8), 2564-2575.
http://dx.doi.org/10.1016/j.physa.2011.12.042
---------- CHICAGO ----------
De Micco, L., Fernández, J.G., Larrondo, H.A., Plastino, A., Rosso, O.A. "Sampling period, statistical complexity, and chaotic attractors" . Physica A: Statistical Mechanics and its Applications 391, no. 8 (2012) : 2564-2575.
http://dx.doi.org/10.1016/j.physa.2011.12.042
---------- MLA ----------
De Micco, L., Fernández, J.G., Larrondo, H.A., Plastino, A., Rosso, O.A. "Sampling period, statistical complexity, and chaotic attractors" . Physica A: Statistical Mechanics and its Applications, vol. 391, no. 8, 2012, pp. 2564-2575.
http://dx.doi.org/10.1016/j.physa.2011.12.042
---------- VANCOUVER ----------
De Micco, L., Fernández, J.G., Larrondo, H.A., Plastino, A., Rosso, O.A. Sampling period, statistical complexity, and chaotic attractors. Phys A Stat Mech Appl. 2012;391(8):2564-2575.
http://dx.doi.org/10.1016/j.physa.2011.12.042