1 |
S. H. Kim, S. K. Choi, Y. C. 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.
DOI
|
2 |
M. M. Kim, "Analysis of Nonlinear Behavior in Idea of Physical Exercise with Unification of Mind and Body," J. of the Korea Institute of Electronic Communication Science, Vol. 11, No. 6, pp. 645-651, 2016.
DOI
|
3 |
Y. C. Bae, "Synchronization of dynamical happiness model," Int. J. of Fuzzy Logic and Intelligent Systems, Vol. 14, No. 2, pp. 91-97, 2014.
DOI
|
4 |
J. C. Sprott, "Dynamics of love and happiness," Chaos and Complex Systems Seminar, Madison WI,Feb. 2001.
|
5 |
S. H. Strogatz, Nonlinear dynamics and chaos: with application to physics, biology, chemistry and engineering, Addison-Wesley, Reading MA, 1994.
|
6 |
L. Hyang and Y. C. Bae, "Analysis of nonlinear dynamics in family model", J. of Korean Institute of Intelligent Systems, Vol. 25, No. 4, pp. 313-318, 2015.
DOI
|
7 |
L. Hyang and Y. C. 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.
DOI
|
8 |
S. H. Strogatz, "Love affairs and differential equations," Math. Mag. Vol. 61, p.35, 1988.
DOI
|
9 |
S. H. Kim, Y. W. Shon and Y. C. 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.
DOI
|
10 |
M. M. Kim and Y. C. 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,
DOI
|
11 |
J. C. Sprott, "Dynamical models of happiness," Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 9, No. 1, pp. 23-34, 2005.
|
12 |
Y. C. Bae, "Chaotic dynamics in tobacco's addiction model," Int. J. of Fuzzy Logic and Intelligent Systems, Vol. 14, No. 4, pp. 322-331, 2014.
DOI
|
13 |
I. K. Park and W. B. Lee, "The Skeletonization of 2-Dimensional Image for Fuzzy Mathematical Morphology using Defuzzification," J. of Digital content society Vol. 9, No.1, Feb. pp. 53-60, 2008.
|
14 |
Y. C. 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.
DOI
|
15 |
Y. C. 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.
DOI
|
16 |
Y. C. 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.
DOI
|
17 |
Y. C. 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.
DOI
|
18 |
L. Hyang and Y. C. 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.
DOI
|
19 |
L. Hyang and Y. C. 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.
DOI
|
20 |
Y. C. 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.
DOI
|
21 |
Y. C. 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.
DOI
|
22 |
Y. W. Shon, J. K. 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.
DOI
|
23 |
S. Rinaldi, "Laura and Patriarch: an intriguing case of cyclical love dynamics", SIAM. J. Appl. Math.,Vol. 58, 1998. pp. 1205-1221.
DOI
|
24 |
W. M. Ahmad and R. E-Khazali, "Fractional-order dynamical model of love," Chaos, Solitons and Fractals, Vol. 33, pp. 1367-1375, 2007.
DOI
|
25 |
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.
DOI
|
26 |
S. Rinaldi, "Love dynamics: The case of linear couples" Applies mathematics and Computation, Vol. 95, pp. 181-192, 1998.
DOI
|
27 |
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.
DOI
|
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.
|
29 |
L. Hyang S. S. Hwang and Y. C. Bae, "Chaotic Behavior inModel with a Gaussian Function as External Force " Int. J.of Fuzzy Logic and Intelligent Systems, Vol. 16, No. 1, pp.64-71, 2016.
DOI
|
30 |
C. Cresswell, Mathematics and Sex, Griffin Press, Syndey, South Australia, 2003.
|