High Density Nodes in the Chaotic Region of 1D Discrete Maps

We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and t...

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Detalles Bibliográficos
Autor principal: Livadiotis, George
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512224/
https://www.ncbi.nlm.nih.gov/pubmed/33265118
http://dx.doi.org/10.3390/e20010024
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author Livadiotis, George
author_facet Livadiotis, George
author_sort Livadiotis, George
collection PubMed
description We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and the connection between the periodic windows and nodes in the chaotic zone. We finally present several characteristic features of nodes, which involve their convergence and entropy.
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spelling pubmed-75122242020-11-09 High Density Nodes in the Chaotic Region of 1D Discrete Maps Livadiotis, George Entropy (Basel) Article We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and the connection between the periodic windows and nodes in the chaotic zone. We finally present several characteristic features of nodes, which involve their convergence and entropy. MDPI 2018-01-04 /pmc/articles/PMC7512224/ /pubmed/33265118 http://dx.doi.org/10.3390/e20010024 Text en © 2018 by the author. 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
Livadiotis, George
High Density Nodes in the Chaotic Region of 1D Discrete Maps
title High Density Nodes in the Chaotic Region of 1D Discrete Maps
title_full High Density Nodes in the Chaotic Region of 1D Discrete Maps
title_fullStr High Density Nodes in the Chaotic Region of 1D Discrete Maps
title_full_unstemmed High Density Nodes in the Chaotic Region of 1D Discrete Maps
title_short High Density Nodes in the Chaotic Region of 1D Discrete Maps
title_sort high density nodes in the chaotic region of 1d discrete maps
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512224/
https://www.ncbi.nlm.nih.gov/pubmed/33265118
http://dx.doi.org/10.3390/e20010024
work_keys_str_mv AT livadiotisgeorge highdensitynodesinthechaoticregionof1ddiscretemaps

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