Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures

The time evolution of the output of a semiconductor laser subject to optical feedback can exhibit high-dimensional chaotic fluctuations. In this contribution, our aim is to quantify the complexity of the chaotic time-trace generated by a semiconductor laser subject to delayed optical feedback. To th...

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Autores principales: Soriano, M.C., Zunino, L., Rosso, O.A., Mirasso, C.R.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0277786X_v7720_n_p_Soriano
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spelling todo:paper_0277786X_v7720_n_p_Soriano2023-10-03T15:16:42Z Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures Soriano, M.C. Zunino, L. Rosso, O.A. Mirasso, C.R. Chaos Optical feedback Permutation entropy Semiconductor lasers Statistical complexity Time delay identification Chaos Chaos quantifiers Chaotic fluctuations Complexity measures High-dimensional Kolmogorov-Sinai entropy Laser dynamics Numerical results Permutation entropy Statistical complexity Time delay identification Time evolutions Time-scales Chaotic systems Distribution functions Entropy Information theory Laser theory Lasers Probability density function Semiconductor lasers Time delay Time series Feedback The time evolution of the output of a semiconductor laser subject to optical feedback can exhibit high-dimensional chaotic fluctuations. In this contribution, our aim is to quantify the complexity of the chaotic time-trace generated by a semiconductor laser subject to delayed optical feedback. To that end, we discuss the properties of two recently introduced complexity measures based on information theory, namely the permutation entropy (PE) and the statistical complexity measure (SCM). The PE and SCM are 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. In order to evaluate the performance of these novel complexity quantifiers, we compare them to a more standard chaos quantifier, namely the Kolmogorov-Sinai entropy. Here, we present numerical results showing that the statistical complexity and the permutation entropy, evaluated at the different time-scales involved in the chaotic regime of the laser subject to optical feedback, give valuable information about the complexity of the laser dynamics. © 2010 SPIE. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0277786X_v7720_n_p_Soriano
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chaos
Optical feedback
Permutation entropy
Semiconductor lasers
Statistical complexity
Time delay identification
Chaos
Chaos quantifiers
Chaotic fluctuations
Complexity measures
High-dimensional
Kolmogorov-Sinai entropy
Laser dynamics
Numerical results
Permutation entropy
Statistical complexity
Time delay identification
Time evolutions
Time-scales
Chaotic systems
Distribution functions
Entropy
Information theory
Laser theory
Lasers
Probability density function
Semiconductor lasers
Time delay
Time series
Feedback
spellingShingle Chaos
Optical feedback
Permutation entropy
Semiconductor lasers
Statistical complexity
Time delay identification
Chaos
Chaos quantifiers
Chaotic fluctuations
Complexity measures
High-dimensional
Kolmogorov-Sinai entropy
Laser dynamics
Numerical results
Permutation entropy
Statistical complexity
Time delay identification
Time evolutions
Time-scales
Chaotic systems
Distribution functions
Entropy
Information theory
Laser theory
Lasers
Probability density function
Semiconductor lasers
Time delay
Time series
Feedback
Soriano, M.C.
Zunino, L.
Rosso, O.A.
Mirasso, C.R.
Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
topic_facet Chaos
Optical feedback
Permutation entropy
Semiconductor lasers
Statistical complexity
Time delay identification
Chaos
Chaos quantifiers
Chaotic fluctuations
Complexity measures
High-dimensional
Kolmogorov-Sinai entropy
Laser dynamics
Numerical results
Permutation entropy
Statistical complexity
Time delay identification
Time evolutions
Time-scales
Chaotic systems
Distribution functions
Entropy
Information theory
Laser theory
Lasers
Probability density function
Semiconductor lasers
Time delay
Time series
Feedback
description The time evolution of the output of a semiconductor laser subject to optical feedback can exhibit high-dimensional chaotic fluctuations. In this contribution, our aim is to quantify the complexity of the chaotic time-trace generated by a semiconductor laser subject to delayed optical feedback. To that end, we discuss the properties of two recently introduced complexity measures based on information theory, namely the permutation entropy (PE) and the statistical complexity measure (SCM). The PE and SCM are 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. In order to evaluate the performance of these novel complexity quantifiers, we compare them to a more standard chaos quantifier, namely the Kolmogorov-Sinai entropy. Here, we present numerical results showing that the statistical complexity and the permutation entropy, evaluated at the different time-scales involved in the chaotic regime of the laser subject to optical feedback, give valuable information about the complexity of the laser dynamics. © 2010 SPIE.
format CONF
author Soriano, M.C.
Zunino, L.
Rosso, O.A.
Mirasso, C.R.
author_facet Soriano, M.C.
Zunino, L.
Rosso, O.A.
Mirasso, C.R.
author_sort Soriano, M.C.
title Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
title_short Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
title_full Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
title_fullStr Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
title_full_unstemmed Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
title_sort quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
url http://hdl.handle.net/20.500.12110/paper_0277786X_v7720_n_p_Soriano
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