Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems

Designing a chaotic system with infinitely many attractors is a hot topic. In this paper, multiscale multivariate permutation entropy (MMPE) and multiscale multivariate Lempel–Ziv complexity (MMLZC) are employed to analyze the complexity of those self-reproducing chaotic systems with one-directional...

Descripción completa

Detalles Bibliográficos
Autores principales: He, Shaobo, Li, Chunbiao, Sun, Kehui, Jafari, Sajad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513081/
https://www.ncbi.nlm.nih.gov/pubmed/33265645
http://dx.doi.org/10.3390/e20080556
_version_ 1783586305594097664
author He, Shaobo
Li, Chunbiao
Sun, Kehui
Jafari, Sajad
author_facet He, Shaobo
Li, Chunbiao
Sun, Kehui
Jafari, Sajad
author_sort He, Shaobo
collection PubMed
description Designing a chaotic system with infinitely many attractors is a hot topic. In this paper, multiscale multivariate permutation entropy (MMPE) and multiscale multivariate Lempel–Ziv complexity (MMLZC) are employed to analyze the complexity of those self-reproducing chaotic systems with one-directional and two-directional infinitely many chaotic attractors. The analysis results show that complexity of this class of chaotic systems is determined by the initial conditions. Meanwhile, the values of MMPE are independent of the scale factor, which is different from the algorithm of MMLZC. The analysis proposed here is helpful as a reference for the application of the self-reproducing systems.
format Online
Article
Text
id pubmed-7513081
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-75130812020-11-09 Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems He, Shaobo Li, Chunbiao Sun, Kehui Jafari, Sajad Entropy (Basel) Article Designing a chaotic system with infinitely many attractors is a hot topic. In this paper, multiscale multivariate permutation entropy (MMPE) and multiscale multivariate Lempel–Ziv complexity (MMLZC) are employed to analyze the complexity of those self-reproducing chaotic systems with one-directional and two-directional infinitely many chaotic attractors. The analysis results show that complexity of this class of chaotic systems is determined by the initial conditions. Meanwhile, the values of MMPE are independent of the scale factor, which is different from the algorithm of MMLZC. The analysis proposed here is helpful as a reference for the application of the self-reproducing systems. MDPI 2018-07-27 /pmc/articles/PMC7513081/ /pubmed/33265645 http://dx.doi.org/10.3390/e20080556 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
He, Shaobo
Li, Chunbiao
Sun, Kehui
Jafari, Sajad
Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title_full Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title_fullStr Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title_full_unstemmed Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title_short Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
title_sort multivariate multiscale complexity analysis of self-reproducing chaotic systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513081/
https://www.ncbi.nlm.nih.gov/pubmed/33265645
http://dx.doi.org/10.3390/e20080556
work_keys_str_mv AT heshaobo multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems
AT lichunbiao multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems
AT sunkehui multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems
AT jafarisajad multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems

Ejemplares similares