References
- Y. Bae, "Chaotic phenomena in addiction model for digital leisure," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 13, no. 4, 2013, pp. 291-297. https://doi.org/10.5391/IJFIS.2013.13.4.291
- M. Kim and Y. Bae, "Mathematical modeling and chaotic behavior analysis of cyber addiction," J. of Korean Institute of Intelligent System, vol. 24, no. 3, 2014, pp. 245-250. https://doi.org/10.5391/JKIIS.2014.24.3.245
- Y. Bae, "Chaotic dynamics in tobacco's addiction model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 4, 2014, pp. 322-331. https://doi.org/10.5391/IJFIS.2014.14.4.322
- Y. Bae, "Mathematical modeling and behavior analysis of addiction of physical exercise," J. of Korean Institute of Intelligent Systems, vol. 24, no. 6, 2014, pp. 615-621. https://doi.org/10.5391/JKIIS.2014.24.6.615
- S. Kim, S. Choi, Y. Bae, and Y. Park, "Mathematical modeling of happiness and its nonlinear analysis," J. of the Korea Institute of Electronic Communication Science, vol. 9, no. 6, 2013, pp. 711-717. https://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, 2005, pp. 23-34.
- L. Huang, Y. Shon, S. Hwang, and Y. Bae, "Behaviors Phenomena in Happiness Model with Fractional-order," J. of Korean Institute of Intelligent Systems, vol. 28, no. 1, 2018, pp. 41-48. https://doi.org/10.5391/JKIIS.2018.28.1.41
- J. C. Sprott, "Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI, U.S.A, Feb. 2001.
- L. Hyang and Y. Bae, "Analysis of nonlinear dynamics in family model," J. of Korean Institute of Intelligent Systems, vol. 25, no. 4, 2015, pp. 313-318. https://doi.org/10.5391/JKIIS.2015.25.4.313
- L. Hyang and Y. Bae, "Analysis of nonlinear dynamics in family model including parent-in law," J. of Korean Institute of Intelligent Systems, vol. 26, no. 1, 2016, pp. 37-43. https://doi.org/10.5391/JKIIS.2016.26.1.037
- S. H. Strogatz, "Love affairs and differential equations,"Math. Mag, vol. 61, 1988, p. 35. https://doi.org/10.1080/0025570X.1988.11977342
- S. H. Strogatz, Nonlinear dynamics and chaos: with application to physics, biology, chemistry and engineering. New York: CRC Press, 1994.
- S. Kim, Y. Shon, and Y. Bae, "Mathematical modeling of love and its nonlinear analysis," J. of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 11, 2014, pp. 1297-1303. https://doi.org/10.13067/JKIECS.2014.9.11.1297
- Y. Bae, "Behavior analysis of dynamic love model with time delay," J. of the Korea Institute of Electronic Communication Sciences, vol. 10, no. 2, 2015, pp. 253-260. https://doi.org/10.13067/JKIECS.2015.10.2.253
- Y. Bae, "Modified mathematical modeling of love and its behavior analysis," J. of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 12, 2014, pp. 1441-1446. https://doi.org/10.13067/JKIECS.2014.9.12.1441
- L. Hyang and Y. Bae, "Behavior analysis in love model of Romeo and Juliet with time delay," J. of Korean Institute of Intelligent Systems, vol. 25, no. 2, 2015, pp. 155-160. https://doi.org/10.5391/JKIIS.2015.25.2.155
- L. Hyang and Y. Bae, "Comparative behavior analysis in love model with same and different time delay," J. of Korean Institute of Intelligent Systems, vol. 25, no. 3, 2015, pp. 210-216. https://doi.org/10.5391/JKIIS.2015.25.3.210
- Y. Bae, "Nonlinear behavior in love model with discontinuous external force," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 16, no. 1, 2016, pp. 64-71. https://doi.org/10.5391/IJFIS.2016.16.1.64
- Y. Bae, "Chaotic behavior in dynamic love model with different external force," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 15, no. 4, 2015, pp. 283-288. https://doi.org/10.5391/IJFIS.2015.15.4.283
- Y. Shon, J. Lee, and Y. Bae, "Behavior Analysis in Love Model with applying Conscious and Nonconscious," J. of the Korea Institute of Electronic Communication Sciences, vol. 11, no. 5, 2016, pp. 523-529. https://doi.org/10.13067/JKIECS.2016.11.5.523
- L. Huang, S. Hwang, and Y. Bae, "Chaotic Behavior in Model with a Gaussian Function as External Force," Int. J. of Fuzzy Logic andIntelligent Systems, vol. 16, no. 4, 2016, pp. 262-269. https://doi.org/10.5391/IJFIS.2016.16.4.262
- Y. Bae, "Nonlinear Behavior Analysis in Love Model with closing awareness of Human," J. of the Korea Institute of Electronic Communication Science, vol. 12, no. 1, 2017, pp. 201-208. https://doi.org/10.13067/JKIECS.2017.12.1.201
- Y. Bae, "Analysis of Nonlinear Behavior in Love Model as External Force with Gaussian Fuzzy Membership Function," J. of Korean Institute of Intelligent Systems, vol. 27, no. 1, 2017, pp. 29-34. https://doi.org/10.5391/JKIIS.2017.27.1.029
- Y. Bae, "Nonlinear Analysis in Love Dynamics with Triangular Membership Function as External Force," J. of Digital Contents Society, vol. 18, no. 1, Feb. 2017, pp. 217-224. https://doi.org/10.9728/dcs.2017.18.1.217
- S. Rinaldi, "Laura and Patriarch: an intriguing case of cyclical love dynamics," SIAM. J. Appl. Math., vol. 58, 1998, pp. 1205-1221. https://doi.org/10.1137/S003613999630592X
- C. Cresswell, Mathematics and Sex. Syndey: Griffin Press, 2003.
- J. Wauer, D. Schwarzer, G.Q. Cai, and Y.K. Lin, "Dynamical models of love with time-varying fluctuations," Applies mathematics and Computation, vol. 188, 2007, pp. 1535-1548. https://doi.org/10.1016/j.amc.2006.11.026
- S. Rinaldi, "Love dynamics: The case of linear couples" Applies mathematics and Computation, vol. 95, 1998, pp. 181-192. https://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 and Fractals, vol. 31, 2007, pp. 853-865. https://doi.org/10.1016/j.chaos.2005.10.037
- W. M. Ahmad and R. E-Khazali, "Fractional-order dynamical model of love," Chaos, Solitons and Fractals, vol. 33, 2007, pp. 1367-1375. https://doi.org/10.1016/j.chaos.2006.01.098
- W. L. Ahmad and K. Chen, "Chaotic behavior in a new fractional order love triangle system with competition," J. applied analysis and computation, vol. 5, no.1, Feb. 2015, pp. 103-113. https://doi.org/10.11948/2015009
- L. Huang and Y. Bae, "Periodic Doubling and Chaotic Attractor in the Love Model with a Fourier Series Function as External Force," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 17, no. 1, 2017, pp. 17-25. https://doi.org/10.5391/IJFIS.2017.17.1.17
- L. Huang, Y. Shon, S. Kim, and Y. Bae, "Nonlinear Phenomena in Love Model using Fourier Series of Sine Wave as External Force," J. of Korean Institute of Intelligent Systems, vol. 27, no. 4, 2017, pp. 321-327. https://doi.org/10.5391/JKIIS.2017.27.4.321
- L. Y. Huang and Y. Bae, "Nonlinear Behavior in Romeo and Juliet's Love Model Influenced by External Force with Fuzzy Membership Function," International J. of Fuzzy Logic and Intelligent Systems, vol. 19, no. 2, 2017, pp. 1670-1682.
- L. Y. Huang and Y. Bae, " Chaotic dynamics of the fractional-love model with external environment," Entropy, vol. 20, no. 1, 2018.
- L. Y. Huang and Y. Bae, "Analysis of Chaotic Behaviors in a Novel Extended Love Model Considering Positive and Negative External Environment," Entropy, vol. 20, no. 5, 2018.
- Y, Bae, "Analysis of Influence for Noise in Love Model with External Environment," J. of Korean Institute of Intelligent Systems, vol. 29, no. 1, 2019, pp. 56-51. https://doi.org/10.5391/jkiis.2019.29.1.56