Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of Nonlinear Dynamics in Family Model

가족 관계에서의 비선형 거동 해석

  • Huang, Lyniun (Department of Biomedical Electronic Engineering, Chonnam National University) ;
  • Bae, Young-Chul (Division of Electrical.Electronic Communication.Computer Engineering, Chonnam National University)
  • 황림운 (전남대학교 바이오메디컬전자공학과) ;
  • 배영철 (전남대학교 전기.전자통신.컴퓨터공학부)
  • Received : 2015.05.22
  • Accepted : 2015.07.09
  • Published : 2015.08.25
Download PDF
⟨ Previous Next ⟩

Abstract

Recently, it is emphasized importance of family. The new husband and wife are created by caused marriage, they organize new family including wife's home and husband's home. As a result, they conflict or accomplish peace with new family. Such a researchers mainly have been studied in the social science side. Because there is no mathematical modeling which is one of the natural science, for family relationship, it is not provide to reveal the behavioral phenomena between families fundamentally. In this paper, one of the nonlinear research for social subject, we modify love model of Romeo and Juliet. Then we propose novel family relationship model for parent-in-law and daughter (or son)-in-law relation. We also confirm chaotic behavior or nonlinear behavior by time series and phase portrait.

강조되고 있다. 결혼으로 인한 새로운 부부의 탄생 이외에 처가와 시가 등 새로운 가족이 형성되어 새로최근 가족의 중요성이 운 가족과 갈등을 빚기도 하고 화목을 이루기도 한다. 이러한 연구들은 주로 사회학적인 측면에서만 연구되고 있고 자연과학적인 측면의 하나인 가족관계에 대한 수학적인 모델링이 없어 근본적인 가족 사이의 거동 현상을 밝혀내지 못하고 있다. 이에 본 논문에서는 사회에 대한 비선형 연구의 하나로 가족 구성원 간 특별히 시부모와 며느리의 관계나 처부모와 사위와의 관계를 로미오와 줄리엣의 사랑 모델을 변형하여 새로운 가족 관계 모델을 제안하고 이 모델에서 비선형 거동인 카오스 거동이 있음을 시계열과 위상공간으로 확인한다.

Keywords

References

  1. 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, pp. 135-216, 2011. https://doi.org/10.5391/IJFIS.2011.11.3.135
  2. 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, pp. 77-83, 2011. https://doi.org/10.5391/IJFIS.2011.11.2.077
  3. 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, pp. 113-119, 2013. https://doi.org/10.13067/JKIECS.2013.8.1.113
  4. Y. Bae, "Chaotic Phenomena in MEMS with Duffing Equation," J. of the Korea Institute of Electronic Communication Sciences, vol. 6, no. 6, pp. 709-716, 2011.
  5. 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, pp. 534-540, 2010.
  6. Y. Bae, " A study on chaotic phenomenon in rolling mill bearing," J. of Korean Institute of Intelligent Systems, vol. 11, no. 4, pp. 315-319, 2001.
  7. 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, pp. 310-315, 2003. https://doi.org/10.5391/JKIIS.2003.13.3.310
  8. 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
  9. 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, pp. 245-250. 2014. https://doi.org/10.5391/JKIIS.2014.24.3.245
  10. 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
  11. Y. Bae, "Mathematical Modelling 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
  12. S. Kim, S. Choi, Y. Bae, and Y. Park, "Mathematical Modelling of Happiness and its nonlinear Analysis," J. of the Korea Institute of Electronic Communication Science, pp. 711-717, vol. 9, no. 6, 2013. https://doi.org/10.13067/JKIECS.2014.9.6.711
  13. J. C. Sprott,, "Dynamical Models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, vol. 9, no. 1, pp. 23-34, 2005.
  14. Y. Bae, "Synchronization of Dynamical Happiness Model," Int. J. of Fuzzy Logic and Intelligent Systems, vol. 14, no. 2, pp. 91-97, 2014. https://doi.org/10.5391/IJFIS.2014.14.2.91
  15. J. C. Sprott, " Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI, Feb. 2001.
  16. 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, pp. 1297-1303. 2014. https://doi.org/10.13067/JKIECS.2014.9.11.1297
  17. 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
  18. Y. Bae, "Modified Mathematical Modelling of Love and its Behaviour 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
  19. 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
  20. 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