References
- Y. Bae, "Chaotic phenomena in addiction model for digital leisure," International Journal of Fuzzy Logic and Intelligent Systems, vol. 13, no. 4, pp. 291-297, 2013. http://doi.org/10.5391/IJFIS.2013.13.4.291
- M. Kim and Y. Bae, "Mathematical modelling and chaotic behavior analysis of cyber addiction," Journal of Korean Institute of Intelligent Systems, vol. 24, no. 3, pp. 245-250, 2014. http://doi.org/10.5391/JKIIS.2014.24.3.245
- Y. Bae, "Chaotic dynamics in tobacco's addiction model," International Journal of Fuzzy Logic and Intelligent Systems, vol. 14, no. 4, pp. 322-331, 2014. http://doi.org/10.5391/IJFIS.2014.14.4.322
- Y. Bae, "Mathematical modeling and behavior analysis of addiction of physical exercise," Journal of Korean Institute of Intelligent Systems, vol. 24, no. 6, pp. 615-621, 2014. http://doi.org/10.5391/JKIIS.2014.24.6.615
- S. W. Kim, S. K. Choi, Y. C. Bae, and Y. H. Park, "Mathematical modelling of happiness and its nonlinear analysis," The Journal of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 6, pp. 711-717, 2014. http://doi.org/10.13067/JKIECS.2014.9.6.711
- J. C. Sprott, "Dynamical models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, pp. 23-34, 2005.
- Y. Bae, "Synchronization of dynamical happiness model," International Journal of Fuzzy Logic and Intelligent Systems, vol. 14, no. 2, pp. 91-97, 2014. http://doi.org/10.5391/IJFIS.2014.14.2.91
- J. C. Sprott, "Dynamics of love and happiness," in Proceedings of Chaos and Complex Systems Seminar, Madison, WI, 2001.
- S. W. Kim, Y. W. Shon, and Y. C. Bae, "Mathematical modelling of love and its nonlinear analysis," The Journal of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 11, pp. 1297-1304. 2014. http://doi.org/10.13067/JKIECS.2014.9.11.1297
- Y. Bae, "Behavior analysis of dynamic love model with time delay," Journal of the Korea Institute of Electronic Communication Sciences (JKIECS), vol. 10, no. 2, pp. 253-260, 2015. http://doi.org/10.13067/JKIECS.2015.10.2.253
- Y. C. Bae, "Modified mathematical modelling of love and its behaviour analysis," The Journal of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 12, pp. 1441-1446, 2014. http://doi.org/10.13067/JKIECS.2014.9.12.1441
- L. Huang and Y. C. 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://doi.org/10.5391/JKIIS.2015.25.2.155
- L. Huang and Y. C. 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://doi.org/10.5391/JKIIS.2015.25.3.210
- S. H. Strogatz, "Love affairs and differential equations," Mathematics Magazine, vol. 61, no. 1, pp. 35-35, 1988. http://doi.org/10.2307/2690328
- S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Reading, MA: Addison-Wesley, 1994.
- 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://doi.org/10.1137/S003613999630592X
- F. Breitenecker, F. Judex, N. Popper, K. Breitenecker, A. Mathe, and A. Mathe, "Love emotions between Laura and Petrarch: an approach by mathematics and system dynamics," Journal of Computing and Information Technology, vol. 16, no. 4, pp. 255-269, 2008. http://doi.org/10.2498/cit.1001393
- J. M. Rey, "Optimal control of long-term sentimental dynamics," in Proceedings of Modelling for Engineering & Human Behaviour, Valencia, Spain, 2011, pp. 274-278.
- C. Creswell, Mathematics and Sex. Sydney: Allen & Unwin, 2003.
- J. Wauer, D. Schwarzer, G. Q. Cai, and Y. K. Lin, "Dynamical models of love with time-varying fluctuations," Applied Mathematics and Computation, vol. 188, no. 2, pp. 1535-1548, 2007. http://doi.org/10.1016/j.amc.2006.11.026
- S. Rinaldi, "Love dynamics: the case of linear couples," Applied Mathematics and Computation, vol. 95, no. 2-3, pp. 181-192, 1998. http://doi.org/10.1016/S0096-3003(97)10081-9
- X. Liao and J. Ran, "Hopf bifurcation in love dynamical models with nonlinear couples and time delays," Chaos, Solitons & Fractals, vol. 31, no. 4, pp. 853-865, 2007. http://doi.org/10.1016/j.chaos.2005.10.037
- W. M. Ahmad and R. El-Khazali, "Fractional-order dynamical models of love," Chaos, Solitons & Fractals, vol. 33, no. 4, pp. 1367-1375, 2007. http://doi.org/10.1016/j.chaos.2006.01.098
- L. Hyang and Y. Bae, "Analysis of nonlinear behavior in love model with external force," The Journal of the Korea Institute of Electronic Communication Sciences, vol. 10, no. 7, pp. 845-850, 2015. http://doi.org/10.13067/JKIECS.2015.10.7.845
- Y. Bae, "Chaotic behavior in a dynamic love model with different external forces," International Journal of Fuzzy Logic and Intelligent Systems, vol. 15, no. 4, pp. 283-288, 2015. https://doi.org/10.5391/IJFIS.2015.15.4.283
- W. Liu and K. Chen, "Chaotic behavior in a new fractionalorder love triangle system with competition," Journal of Applied Analysis and Computation, vol. 5, no. 1, pp. 103-113, 2015.
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