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

Modified Mathematical Modelling of Love and its Behaviour Analysis

수정된 사랑의 수학적 모델링과 그 거동 해석(1)

  • 배영철 (전남대학교 전기.전자통신.컴퓨터 공학부)
  • Received : 2014.11.10
  • Accepted : 2014.12.15
  • Published : 2014.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper we propose a modified romantic behaviors by using basic the love equation of Romeo and Juliet. We represent the behaviors using time series and phase portrait when we vary the parameter in the modified love equation. Also we analyze the behavior's relation by using time series and phase portraits when external force applied as the third person between Romeo and Juliet.

사람의 감정 중의 하나인 사랑은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 본 논문에서는 로미오와 줄리엣의 사랑 방정식을 이용하여 수정된 사랑방정식을 제시하였다. 또한 이 수정된 사랑 방정식에서 파라미터를 변화시켰을 때의 거동을 시계열과 위상 공간으로 나타내고, 이들 사이에 외부적인 자극인 3자가 개입했을 때의 관계를 시계열과 위상 공간으로 나타내어 이들 사이의 거동 관계가 비선형 특성이 있음을 분석한다.

Keywords

References

  1. Y.-C. Bae, "Chaotic Phenomena in Addiction Model for Digital Leisure," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 13, no. 4, Dec. 2013, pp. 291-297. https://doi.org/10.5391/IJFIS.2013.13.4.291
  2. M.-M. Kim and Y. Bae, "Mathematical Modelling and Chaotic Behavior Analysis of Cyber Addiction," J. of Korean Institute of Intelligent Systems, vol. 24, no. 3, June 2014, pp. 245-250. https://doi.org/10.5391/JKIIS.2014.24.3.245
  3. Y.-C. Bae, " Synchronization of Dynamical Happiness Model," 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
  4. S.-H. Kim, S.-K. Choi, Y.-C. Bae, and Y. Park, "Mathematical Modelling 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
  5. J. C. Sprott, "Dynamical Models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, 2005, pp. 23-36.
  6. J. C. Sprott, " Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI, Feb. 2001.
  7. S.-H Yu, C.-H Hyun, and M.-Y, Park, "Backstepping Control and Synchronization for 4-D Lorenz-Stenflo Chaotic System with Single Input," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 11, no. 3, Sept. 2011, pp. 143-148. https://doi.org/10.5391/IJFIS.2011.11.3.143
  8. S.-H. Yu, C.-H. Hyun, and M.-Y. Park, "Control and Synchronization of New Hyperchaotic System using Active Backstepping Design," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 11, no. 2, June 2011, pp. 77-83. https://doi.org/10.5391/IJFIS.2011.11.2.077
  9. Y.-C. Bae, "Diagnosis of power supply by analysis of chaotic nonlinear dynamics," J. of the Korea Institute of Electronic Communication Sciences, vol. 8, no. 1, 2013, pp. 113-119. https://doi.org/10.13067/JKIECS.2013.8.1.113
  10. Y.-C. Bae, "Chaotic Phenomena in MEMS with Duffing Equation," J. of the Korea Institute of Electronic Communication Sciences, vol. 6, no. 6, 2011, pp. 709-716.
  11. Y.-C. Bae and J.-K. Park "A Study on Obstacle Avoid Method and Synchronization of multi chaotic robot for Robot Formation Control based on Chaotic Theory," J. of the Korea Institute of Electronic Communication Sciences, vol. 5, no. 5, 2010, pp. 534-540.
  12. Y.-C. Bae, " A study on chaotic phenomenon in rolling mill bearing," J. of Korean Institute of Intelligent Systems, vol. 11, no. 4, Aug. 2001, pp. 315-319.
  13. Y.-C. Bae, J.-W. Kim, Y.-G. Kim, and Y.-W. Shon, "Secure communication using embedding drive synchronization," J. of Korean Institute of Intelligent Systems, vol. 13, no. 3, June 2003, pp. 310-315. https://doi.org/10.5391/JKIIS.2003.13.3.310
  14. S.-H. Kim, Y.-W. Shon and Y.-C. Bae, "Mathematical Modelling 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

Cited by

  1. Chaotic Behavior in a Dynamic Love Model with Different External Forces vol.15, pp.4, 2015, https://doi.org/10.5391/IJFIS.2015.15.4.283
  2. Behavior Analysis in Love Model of Romeo and Juliet with Time Delay vol.25, pp.2, 2015, https://doi.org/10.5391/JKIIS.2015.25.2.155
  3. Comparative Behavior Analysis in Love Model with Same and Different Time Delay vol.25, pp.3, 2015, https://doi.org/10.5391/JKIIS.2015.25.3.210
  4. Analysis of Nonlinear Dynamics in Family Model vol.25, pp.4, 2015, https://doi.org/10.5391/JKIIS.2015.25.4.313
  5. Nonlinear Behavior in Love Model with Discontinuous External Force vol.16, pp.1, 2016, https://doi.org/10.5391/IJFIS.2016.16.1.64
  6. Chaotic Behavior in Model with a Gaussian Function as External Force vol.16, pp.4, 2016, https://doi.org/10.5391/IJFIS.2016.16.4.262
  7. Analysis of Nonlinear Dynamics in Family Model including Parent-in-Law vol.26, pp.1, 2016, https://doi.org/10.5391/JKIIS.2016.26.1.037
  8. Periodic Doubling and Chaotic Attractor in the Love Model with a Fourier Series Function as External Force vol.17, pp.1, 2017, https://doi.org/10.5391/IJFIS.2017.17.1.17
  9. Chaotic Dynamics of the Fractional-Love Model with an External Environment vol.20, pp.1, 2018, https://doi.org/10.3390/e20010053