The Journal of the Korea institute of electronic communication sciences (한국전자통신학회논문지)

Korea Institute of Electronic Communication Science (한국전자통신학회)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear Behavior Analysis in Love Model with closing awareness of Human

사람 인식에 근접한 외력을 가진 사랑 모델에서 비선형 거동 분석

  • Bae, Young-Chul (Division of Electrical.Electronics Communication and Computer Engineering, Chonnam National University)
  • 배영철 (전남대학교 전기.전자통신.컴퓨터공학부)
  • Received : 2017.01.11
  • Accepted : 2017.02.24
  • Published : 2017.02.28
Download PDF
⟨ Previous Next ⟩

Abstract

This paper propose triangular fuzzy membership function to make model that based on awareness of human in the love model that with external force, which have the basic love model of Romeo and Juliet. This paper represents the phenomena of behaviors by time series and phase portraits after using this fuzzy triangular membership function as an external force and also confirms existence of nonlinear characteristics.

본 논문에서는 기본적인 로미오와 줄리엣의 사랑모델을 기반으로 외력을 가진 사랑 모델에서 외력을 사람의 인식에 기반한 모델을 만들기 위해 퍼지의 삼각 소속 함수를 제시한다. 또한 이 소속 함수를 외력으로 사용한 후 여기에서 나오는 거동 현상을 시계열과 위상 공간으로 나타내고, 비선형 특성이 존재하는지를 확인한다.

Keywords

References

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. J. C. Sprott,, "Dynamical models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, 205, pp. 23-34..
  7. Y. Bae, "Synchronization of dynamical happiness model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 2, 2014, pp. 91-97.. https://doi.org/10.5391/IJFIS.2014.14.2.91
  8. J. C. Sprott, "Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI,Feb. 2001.
  9. 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
  10. 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
  11. S.H. Strogatz, "Love affairs and differential equations," Math. Mag. Vol. 61, 1988, p.35. https://doi.org/10.2307/2690328
  12. S.H. Strogatz, Nonlinear dynamics and chaos: with application to physics, biology, chemistry and engineering, Addison-Wesley, Reading MA, 1994.
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. L. Hyang S. Hwang and Y. Bae, "Chaotic Behavior in Model with a Gaussian Function as 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
  22. 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
  23. C.Cresswell, "Mathematics and Sex," Griffin Press, Syndey, South Australia, 2003.
  24. 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
  25. 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
  26. X. Liao and J. Ran, "Hopf bifurcation in love dynamical models with nonlinear couples and time delays," Chaos, Solitons and Fractals, 2007, vol. 31, pp. 853-865. https://doi.org/10.1016/j.chaos.2005.10.037
  27. 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
  28. 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.