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Abstract:

The time evolution of the output of a semiconductor laser subject to delayed optical feedback can exhibit high-dimensional chaotic fluctuations. In this contribution, our aim is to quantify the degree of unpredictability of this hyperchaotic time evolution. To that end, we estimate permutation entropy, a novel information-theory-derived quantifier particularly robust in a noisy environment. The permutation entropy is defined as a functional of a symbolic probability distribution, evaluated using the Bandt-Pompe recipe to assign a probability distribution function to the time series generated by the chaotic system. This measure quantifies the diversity of orderings present in the associated time series. In order to evaluate the performance of this novel quantifier, we compare with the results obtained by using a more standard chaos quantifier, namely the Kolmogorov-Sinai entropy. Here, we present numerical results showing that the permutation entropy, evaluated at specific time-scales involved in the chaotic regime of the semiconductor laser subject to optical feedback, give valuable information about the degree of unpredictability of the chaotic laser dynamics. The influence of additive observational noise on the proposed tool is also investigated. © 2011 IEEE.

Registro:

Documento: Artículo
Título:Characterizing the hyperchaotic dynamics of a semiconductor laser subject to optical feedback via permutation entropy
Autor:Zunino, L.; Rosso, O.A.; Soriano, M.C.
Filiación:Centro de Investigaciones Ópticas (CONICET la Plata- CIC), 1897 Gonnet, Argentina
Instituto de Ciências Exatas (Fisica), Universidade Federal de Minas Gerais, Belo Horizonte - MG 31270-901, Brazil
Chaos and Biology Group, Instituto de Cálculo, Universidad de Buenos Aires, 1428 Ciudad de Buenos Aires, Argentina
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), CSIC-UIB, Campus Universitat de les Illes Balears, Palma de Mallorca, E-07122, Spain
Palabras clave:Chaos; degree of unpredictability; optical feedback; permutation entropy; semiconductor lasers; Chaos quantifiers; Chaotic fluctuations; Chaotic lasers; degree of unpredictability; High-dimensional; Hyperchaotic; Kolmogorov-Sinai entropy; Noisy environment; Numerical results; Permutation entropy; Time evolutions; Time-scales; Chaotic systems; Distribution functions; Entropy; Information theory; Lasers; Probability distributions; Rating; Semiconductor lasers; Time series; Feedback
Año:2011
Volumen:17
Número:5
Página de inicio:1250
Página de fin:1257
DOI: http://dx.doi.org/10.1109/JSTQE.2011.2145359
Título revista:IEEE Journal on Selected Topics in Quantum Electronics
Título revista abreviado:IEEE J Sel Top Quantum Electron
ISSN:1077260X
CODEN:IJSQE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1077260X_v17_n5_p1250_Zunino

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Citas:

---------- APA ----------
Zunino, L., Rosso, O.A. & Soriano, M.C. (2011) . Characterizing the hyperchaotic dynamics of a semiconductor laser subject to optical feedback via permutation entropy. IEEE Journal on Selected Topics in Quantum Electronics, 17(5), 1250-1257.
http://dx.doi.org/10.1109/JSTQE.2011.2145359
---------- CHICAGO ----------
Zunino, L., Rosso, O.A., Soriano, M.C. "Characterizing the hyperchaotic dynamics of a semiconductor laser subject to optical feedback via permutation entropy" . IEEE Journal on Selected Topics in Quantum Electronics 17, no. 5 (2011) : 1250-1257.
http://dx.doi.org/10.1109/JSTQE.2011.2145359
---------- MLA ----------
Zunino, L., Rosso, O.A., Soriano, M.C. "Characterizing the hyperchaotic dynamics of a semiconductor laser subject to optical feedback via permutation entropy" . IEEE Journal on Selected Topics in Quantum Electronics, vol. 17, no. 5, 2011, pp. 1250-1257.
http://dx.doi.org/10.1109/JSTQE.2011.2145359
---------- VANCOUVER ----------
Zunino, L., Rosso, O.A., Soriano, M.C. Characterizing the hyperchaotic dynamics of a semiconductor laser subject to optical feedback via permutation entropy. IEEE J Sel Top Quantum Electron. 2011;17(5):1250-1257.
http://dx.doi.org/10.1109/JSTQE.2011.2145359