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Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment

The aim of this study was to describe a novel extended dynamical love model with the external environments of the love story of Romeo and Juliet. We used the sinusoidal function as external environments as it could represent the positive and negative characteristics of humans. We considered positive...

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Autores principales: Huang, Linyun, Bae, Youngchul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512886/
https://www.ncbi.nlm.nih.gov/pubmed/33265455
http://dx.doi.org/10.3390/e20050365
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author Huang, Linyun
Bae, Youngchul
author_facet Huang, Linyun
Bae, Youngchul
author_sort Huang, Linyun
collection PubMed
description The aim of this study was to describe a novel extended dynamical love model with the external environments of the love story of Romeo and Juliet. We used the sinusoidal function as external environments as it could represent the positive and negative characteristics of humans. We considered positive and negative advice from a third person. First, we applied the same amount of positive and negative advice. Second, the amount of positive advice was greater than that of negative advice. Third, the amount of positive advice was smaller than that of negative advice in an external environment. To verify the chaotic phenomena in the proposed extended dynamic love affair with external environments, we used time series, phase portraits, power spectrum, Poincare map, bifurcation diagram, and the maximal Lyapunov exponent. With a variation of parameter “a”, we recognized that the novel extended dynamic love affairs with different three situations of external environments had chaotic behaviors. We showed 1, 2, 4 periodic motion, Rössler type attractor, and chaotic attractor when parameter “a” varied under the following conditions: the amount of positive advice = the amount of negative advice, the amount of positive advice > the amount of negative advice, and the amount of positive advice < the amount of negative advice.
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spelling pubmed-75128862020-11-09 Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment Huang, Linyun Bae, Youngchul Entropy (Basel) Article The aim of this study was to describe a novel extended dynamical love model with the external environments of the love story of Romeo and Juliet. We used the sinusoidal function as external environments as it could represent the positive and negative characteristics of humans. We considered positive and negative advice from a third person. First, we applied the same amount of positive and negative advice. Second, the amount of positive advice was greater than that of negative advice. Third, the amount of positive advice was smaller than that of negative advice in an external environment. To verify the chaotic phenomena in the proposed extended dynamic love affair with external environments, we used time series, phase portraits, power spectrum, Poincare map, bifurcation diagram, and the maximal Lyapunov exponent. With a variation of parameter “a”, we recognized that the novel extended dynamic love affairs with different three situations of external environments had chaotic behaviors. We showed 1, 2, 4 periodic motion, Rössler type attractor, and chaotic attractor when parameter “a” varied under the following conditions: the amount of positive advice = the amount of negative advice, the amount of positive advice > the amount of negative advice, and the amount of positive advice < the amount of negative advice. MDPI 2018-05-14 /pmc/articles/PMC7512886/ /pubmed/33265455 http://dx.doi.org/10.3390/e20050365 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
Huang, Linyun
Bae, Youngchul
Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title_full Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title_fullStr Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title_full_unstemmed Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title_short Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment
title_sort analysis of chaotic behavior in a novel extended love model considering positive and negative external environment
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512886/
https://www.ncbi.nlm.nih.gov/pubmed/33265455
http://dx.doi.org/10.3390/e20050365
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