한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제27권1호
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  • Pages.29-34
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  • 2017
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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가우시안 퍼지 소속 함수를 외력으로 가진 사랑 모델에서의 비선형 거동 해석

Analysis of Nonlinear Behavior in Love Model as External Force with Gaussian Fuzzy Membership Function

  • 배영철 (전남대학교 전기.전자통신.컴퓨터공학부)
  • Bae, Young-Chul (Division of Electrical.Electronic Communication.Computer Engineering, Chonnam National University)
  • 투고 : 2017.01.20
  • 심사 : 2017.02.13
  • 발행 : 2017.02.25
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초록

최근 카오스 동력학에 대한 연구가 많은 연구자들에 의해서 물리학, 화학, 수학, 공학, 및 사회과학 분야에서 관심을 받고 있다. 특별히 사회과학에서는 중독, 행복, 가족, 사랑 모델이 주요 연구 대상이다. 이중 사랑은 사람이 가지고 있는 4가지 감정 중 하나로서 많은 정의가 있으나 그 각각의 정의가 모두 일치하지 않는다. 최근에는 사랑을 미분방정식으로 표현하고 이 수식에서 비선형 거동 또는 카오스 거동을 찾고자 하는 노력이 중요한 연구의 하나이다. 본 논문에서는 외력을 가진 로미오와 줄리엣의 사랑모델을 기반으로 이 외력을 사람의 행동이나 인식 가까운 형태로 만들기 위해 가우시안 퍼지 소속 함수를 제시하고, 시계열과 위상공간을 통하여 이들의 특성에서 비선형 특성이 존재하는지를 확인한다.

Recently, studying chaotic dynamic have been concerned by many researchers in areas of physics, chemistry, mathematics, engineering and social science. Especially, model of addiction, happiness, family and love become major research subjects in the social science. Among these models, love is one of the four emotions that human being have. There are many definitions for love, however, each definitions of love does not coincide with each other. Recently, one of the most important efforts for research is love and it is represented by derivative equation. Then they try to find nonlinear or chaotic behavior from this derivative equation. This paper propose Gaussian fuzzy membership function in order to make external force that are close to action and awareness of human based on love model of Romeo and Juliet with external force. This paper also confirms the existence of nonlinear characteristics through time series and phase portrait.

키워드

참고문헌

  1. Y. Bae, "Chaotic phenomena in addiction model for digital leisure," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 13, no. 4, pp. 291-297, 2013. 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, pp. 245-250, 2014. 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, pp. 322-331, 2014. 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, pp. 615-621, 2014. 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, pp. 711-717, 2013. 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, pp. 23-34, 2005.
  7. Y. Bae, "Synchronization of dynamical happiness model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 2, pp. 91-9, 2014. 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, pp. 313-318, 2015 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, pp. 37-43, 2016. https://doi.org/10.5391/JKIIS.2016.26.1.037
  11. S .H. Strogatz, "Love affairs and differential equations," Math. Mag. Vol. 61, p.35, 1988. 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, pp. 1297-1303, 2014. 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, pp. 253-260, 2015. 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, pp. 1441-1446, 2014. 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, pp. 155-160, 2015. 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, pp. 210-216, 2015. 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, pp. 64-71, 2016. 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, pp. 283-288, 2015. 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, pp. 523-529, 2016. 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, pp. 64-71, 2016. 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, pp. 1205-1221, 1998. 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, pp. 1535-1548, 2007. 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, pp. 181-192, 1998. 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, vol. 31, pp. 853-865, 2007. 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, pp. 1367-1375, 2007. 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. pp. 103-113, 2015.

피인용 문헌

  1. Chaotic Dynamics of the Fractional-Love Model with an External Environment vol.20, pp.1, 2018, https://doi.org/10.3390/e20010053
  2. Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment vol.20, pp.5, 2018, https://doi.org/10.3390/e20050365