Permutation entropy and its main biomedical and econophysics applications: a review

M Zanin, L Zunino, OA Rosso, D Papo - Entropy, 2012 - mdpi.com
Entropy is a powerful tool for the analysis of time series, as it allows describing the
probability distributions of the possible state of a system, and therefore the information …

Practical considerations of permutation entropy: A tutorial review

M Riedl, A Müller, N Wessel - The European Physical Journal Special …, 2013 - Springer
More than ten years ago Bandt and Pompe introduced a new measure to quantify
complexity in measured time series. During these ten years, this measure has been modified …

Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach

L Zunino, MC Soriano, OA Rosso - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
In this paper we introduce a multiscale symbolic information-theory approach for
discriminating nonlinear deterministic and stochastic dynamics from time series associated …

Time scales of a chaotic semiconductor laser with optical feedback under the lens of a permutation information analysis

MC Soriano, L Zunino, OA Rosso… - IEEE Journal of …, 2011 - ieeexplore.ieee.org
We analyze the intrinsic time scales of the chaotic dynamics of a semiconductor laser
subject to optical feedback by estimating quantifiers derived from a permutation information …

An analysis of high-frequency cryptocurrencies prices dynamics using permutation-information-theory quantifiers

AF Bariviera, L Zunino, OA Rosso - Chaos: An Interdisciplinary Journal …, 2018 - pubs.aip.org
This paper discusses the dynamics of intraday prices of 12 cryptocurrencies during the past
months' boom and bust. The importance of this study lies in the extended coverage of the …

Digital key for chaos communication performing time delay concealment

RM Nguimdo, P Colet, L Larger, L Pesquera - Physical review letters, 2011 - APS
We introduce a scheme that integrates a digital key in a phase-chaos electro-optical delay
system for optical chaos communications. A pseudorandom binary sequence (PRBS) is …

ordpy: A Python package for data analysis with permutation entropy and ordinal network methods

AAB Pessa, HV Ribeiro - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
Since Bandt and Pompe's seminal work, permutation entropy has been used in several
applications and is now an essential tool for time series analysis. Beyond becoming a …

Simultaneous bandwidth-enhanced and time delay signature-suppressed chaos generation in semiconductor laser subject to feedback from parallel coupling ring …

N Jiang, Y Wang, A Zhao, S Liu, Y Zhang, L Chen… - Optics …, 2020 - opg.optica.org
We propose and demonstrate an external-feedback semiconductor laser-based chaos
generation scheme supporting simultaneous bandwidth enhancement and excellent time …

Time delay estimation from the time series for optical chaos systems using deep learning

X Gao, W Zhu, Q Yang, D Zeng, L Deng, Q Chen… - Optics express, 2021 - opg.optica.org
We propose a model-free time delay signature (TDS) extraction method for optical chaos
systems. The TDS can be identified from time series without prior knowledge of the actual …

Time-delay concealment and complexity enhancement of an external-cavity laser through optical injection

N Li, W Pan, A Locquet, DS Citrin - Optics Letters, 2015 - opg.optica.org
The concealment of the time-delay signature (TDS) of chaotic external-cavity lasers is
necessary to ensure the security of optical chaos-based cryptosystems. We show that this …