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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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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. |
format | Online Article Text |
id | pubmed-7512886 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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