DOI QR코드

DOI QR Code

Analysis of Nonlinear Behavior in Love Model with External Force

외력을 가진 사랑 모델에서 비선형 거동 해석

  • 황림운 (전남대학교 바이오메디컬전자공학과) ;
  • 배영철 (전남대학교 전기.전자통신.컴퓨터 공학부)
  • Received : 2015.07.08
  • Accepted : 2015.07.23
  • Published : 2015.07.31

Abstract

Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of great concern. Through such a research, the researchers have provided the basic mathematical model for love model, we cannot find nonlinear characteristics through the basic love model. Therefore, in this paper, in order to find nonlinear behaviors in the basic love model, we apply external force to the basic love model. Then we confirm the existence of nonlinear behaviors through time series and phase portrait. We also confirm that this nonlinear behaviors have the periodic doubling, chaotic phenomena and periodic process which are very similar to typical chaotic occurrence phenomena.

사람의 감정 중의 하나인 사랑은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 기본적인 사랑 모델에서 비선형 특성을 찾기는 어렵다. 따라서 본 논문에서는 기본적인 사랑모델에서 비선형 거동을 찾기 위하여 기본적인 사랑 방정식에 외력을 주고 이때의 시계열과 위상 공간을 통하여 비선형 거동이 있음을 확인한다. 또한 이 비선형거동이 일반 카오스 발생현상인 주기배증과정, 카오스, 주기과정의 현상과 유사하게 유사한 주기 배증 과정, 카오스, 주기과정이 있음을 확인한다.

Keywords

References

  1. J. C. Sprott, " Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI, Feb. 2001.
  2. S. Kim, Y. Shon, and Y. 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
  3. Y. 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
  4. 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
  5. Y. Bae, "Chaotic Dynamics in Tobacco's Addiction Model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 4, Dec. 2014, pp. 322-331. https://doi.org/10.5391/IJFIS.2014.14.4.322
  6. Y. Bae, "Mathematical Modelling and Behavior Analysis of Addiction of Physical Exercise," J. of Korean Institute of Intelligent Systems, vol. 24, no. 6, Dec. 2014, pp. 615-621. https://doi.org/10.5391/JKIIS.2014.24.6.615
  7. Y. 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
  8. S. Kim, S. Choi, Y. Bae, and Y. Park, "Mathematical Modelling of Happiness and its onlinear Analysis," J. of the Korea Institute of Electronic Communication Science, 2013, vol. 9, no. 6, pp. 711-717. https://doi.org/10.13067/JKIECS.2014.9.6.711
  9. J. C. Sprott, "Dynamical Models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, 2005, pp. 23-34.
  10. Y. Bae, "Synchronization of Dynamical Happiness Model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 2, June 2014, pp. 91-97. https://doi.org/10.5391/IJFIS.2014.14.2.91
  11. 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
  12. Y. Bae, "Modified Mathematical Modelling of Love and its Behaviour 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
  13. 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, Apr. 2015, pp. 155-160. https://doi.org/10.5391/JKIIS.2015.25.2.155
  14. 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, Apr. 2015, pp. 210-216. https://doi.org/10.5391/JKIIS.2015.25.3.210
  15. S. Yu, C Hyun, and M. 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
  16. S. Yu, C. Hyun, and M. 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
  17. Y. 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
  18. Y. 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.
  19. Y. Bae, and J. 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.
  20. Y. 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.
  21. Y. Bae, J. Kim, Y. Kim, and Y. 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

Cited by

  1. 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
  2. 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
  3. Chaotic Dynamics of the Fractional-Love Model with an External Environment vol.20, pp.1, 2018, https://doi.org/10.3390/e20010053