Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

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

DOI QR Code

Mathematical Modelling and Behavior Analysis of Addiction of Physical Exercise

운동 중독의 수학적 모델링과 거동 해석

  • Bae, Young-Chul (Division of Electrical.Electronic Communication and Computer Engineering, Chonnam National University)
  • 배영철 (전남대학교 전기.전자통신.컴퓨터공학부)
  • Received : 2014.09.14
  • Accepted : 2014.12.01
  • Published : 2014.12.25
Download PDF
⟨ Previous Next ⟩

Abstract

The Addiction problems have been became a social problem; the social efforts continue to solve these problems. One of those efforts, we need to establish a mathematical modeling for an addictive model to perform analysis of behavior by using this modeling. We need to process the research that can be judged before and after addictive status with result of the behavior analysis. We have to process an observation of transition from before to after addictive status. According to those necessary, this paper proposed the physical exercise model that is composed by novel second order system, which consisted of Spring-Damper-Mass system with equivalence in order to evolve an addictive equation for physical exercise. This paper also is analyzed by the behaviors for those the addictive equation of physical exercise.

중독 문제가 사회문제가 되고 있으며 이를 해결하고자하는 사회적 노력이 계속되고 있다. 이러한 노력 중의 하나로 중독에 대한 수학적 모델링과 이 모델링을 이용하여 거동해석을 수행하며 이 결과를 가지고 중독이전과 중독이후의 상태를 판정하는 연구를 중독 이전의 상태에서 중독 상태로 진행하는 단계의 관찰을 통한 연구를 진행하는 것이 필요하다. 이러한 필요성에 따라 본 연구에서는 운동에 대한 중독 방정식을 전개하기 위하여 Spring-Damper-Mass 시스템과 등가적으로 구성할 수 있는 새로운 2차계로 구성한 운동에 대한 운동 중독 방정식 모델을 제안하고 이 중독 방정식에서의 거동을 분석한다.

Keywords

References

  1. S. Yu, C. Hyun, M. Park, "Backstepping Control and Synchronization for 4-D Lorenz-Stenflo Chaotic System with Single Input," International Journal of Fuzzy Logic and Intelligent Systems, vol. 11, no. 3, pp. 135-216, September 2011. https://doi.org/10.5391/IJFIS.2011.11.3.135
  2. S. Yu, C. Hyun, M. Park, "Control and Synchronization of New Hyperchaotic System using Active Backstepping Design," International Journal of Fuzzy Logic and Intelligent Systems, vol. 11, no. 2, pp. 77-83, June 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, 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. C. Bae, " A study on chaotic phenomenon in rolling mill bearing,"" Journal of Korean Institute of Intelligent Systems, vol. 11, no. 4, pp. 315-319, Aug. 2001.
  7. Y. C. Bae, J. W. Kim, Y. G. Kim, and Y. W. Shon, "Secure communication using embedding drive synchronization," Journal of Korean Institute of Intelligent Systems, vol. 13, no. 3, pp. 310-315, June 2003. http://dx.doi. org/10.5391/JKIIS.2003.13.3.310
  8. Y. Bae, "Chaotic Phenomena in Addiction Model for Digital Leisure," International Journal of Fuzzy Logic and Intelligent Systems vol. 13, no. 4, December 2013, pp. 291-297 http://dx.doi.org/10.5391/IJFIS.2013.13.4.291
  9. S. Metin and N. S. Sengor, "Dynamical system approach in modeling addiction," in International Conference of Brain Inspired Cognitive Systems, Madrid, Spain, July 14-16, 2010.
  10. M. Kim, Y. Bae, "Mathematical Modelling and Chaotic Behavior Analysis of Cyber Addiction,"Journal of Korean Institute of Intelligent Systems, vol. 24, no. 3, pp. 245-250, Jun. 2014. http://dx.doi.org/10.5391/JKIIS.2014.24.3.245
  11. Y. Bae, " Synchronization of Dynamical Happiness Model," 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
  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, vol. 9, no. 6, pp. 711-717, 2014. https://doi.org/10.13067/JKIECS.2014.9.6.711
  13. Y. Bae, "Mathematical Modelling of Love and its Nonlinear", J. of the Korea Institute of Electronic Communication Science, vol. 9, no. 11, pp. 1297-1303, 2014. 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. Analysis of Nonlinear Dynamics in Family Model vol.25, pp.4, 2015, https://doi.org/10.5391/JKIIS.2015.25.4.313
  3. 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
  4. 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
  5. 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
  6. 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