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http://dx.doi.org/10.5391/IJFIS.2016.16.1.64

Nonlinear Behavior in Love Model with Discontinuous External Force  

Bae, Youngchul (Division of Electrical, Electronic Communication and Computer Engineering, Chonnam National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.16, no.1, 2016 , pp. 64-71 More about this Journal
Abstract
This paper proposes nonlinear behavior in a love model for Romeo and Juliet with an external force of discontinuous time. We investigated the periodic motion and chaotic behavior in the love model by using time series and phase portraits with respect to some variable and fixed parameters. The computer simulation results confirmed that the proposed love model with an external force of discontinuous time shows periodic motion and chaotic behavior with respect to parameter variation.
Keywords
Chaoss; Love model; Nonlinear behavior; Phase plane; Time series;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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1 J. C. Sprott, "Dynamics of love and happiness," presented at the Chaos and Complex Systems Seminar, Madison, WI, 2001.
2 J. C. Sprott, "Dynamical models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, pp. 23-36, 2005.
3 S. W. Kim, Y. W. Shon, and Y. Bae, "Mathematical modelling of love and its nonlinear analysis," Journal of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 11, pp. 1297-1304, 2014. http://dx.doi.org/10.13067/JKIECS.2014.9.11.1297   DOI
4 Y. Bae, "Behavior analysis of dynamic love model with time delay," Journal of the Korea Institute of Electronic Communication Sciences, vol. 10, no. 2, pp. 253-260, 2015. http://dx.doi.org/10.13067/JKIECS.2015.10.2.253   DOI
5 Y. Bae, "Modified mathematical modelling of love and its behaviour analysis," Journal of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 12, pp. 1441-1446, 2014. http://dx.doi.org/10.13067/JKIECS.2014.9.12.1441   DOI
6 L. Huang and Y. Bae, "Behavior analysis in love model of Romeo and Juliet with time delay," Journal of Korean Institute of Intelligent Systems, vol. 25, no. 2, pp. 155-160, 2015. http://dx.doi.org/10.5391/JKIIS.2015.25.2.155   DOI
7 L. Huang and Y. Bae, "Comparative behavior analysis in love model with same and different time delay," Journal of Korean Institute of Intelligent Systems, vol. 25, no. 3, pp. 210-216, 2015. http://dx.doi.org/10.5391/JKIIS.2015.25.3.210   DOI
8 S. Rinaldi, "Laura and Petrarch: An intriguing case of cyclical love dynamics," SIAM Journal on Applied Mathematics, vol. 58, no. 4, pp. 1205-1221, 1998. http://dx.doi.org/10.1137/S003613999630592X   DOI
9 C. Cresswell, Mathematics and Sex. Crows Nest, Australia: Allen & Unwin, 2003.
10 S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Reading, MA: Addison-Wesley, 1994.