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Entropy 2018, 20(5), 365; https://doi.org/10.3390/e20050365

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

1
Department of Biomedical and Electronic Engineering, Chonnam National University, Yeosu 59626, Korea
2
Division of Electrical Electronic Communication and Computer Engineering, Chonnam National University, Yeosu 59626, Korea
*
Author to whom correspondence should be addressed.
Received: 27 March 2018 / Revised: 8 May 2018 / Accepted: 12 May 2018 / Published: 14 May 2018
(This article belongs to the Special Issue Theoretical Aspect of Nonlinear Statistical Physics)

Abstract

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. View Full-Text
Keywords: love model; external environment; periodic motion; Rössler type attractor; chaotic attractor love model; external environment; periodic motion; Rössler type attractor; chaotic attractor
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Huang, L.; Bae, Y. Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment. Entropy 2018, 20, 365.

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