MODIFIED NONLINEAR DYNAMICAL EQUATIONS FOR RELATIONSHIP IN MARRIAGES

Authors

  • Adetoro Temitope Talabi Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria
  • Victor Uzodinma Chukwuma Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria
  • Rasaki Kolawole Odunaike Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

DOI:

https://doi.org/10.46881/ajsn.v7i0.156

Keywords:

Non-linear, Mathematical model, relationship, marriages

Abstract

Love-stories are characterized by temporal fluctuations, experiment in the area of relationship are difficult to design but mathematical models play vital role in studying the dynamics of relationships and their behavioural features. The paper examines relationship between different couples who are living together as ideal couple or fragile couple and the divorcee. A modified nonlinear coupled dynamic model was used to predict and interpret the feature of the union of different individuals and it is adapted to local environment where the data collection is carried out. We also investigated several measures affecting marriages, different challenges in marriage were considered by the use of questionnaires, analyzed and the results were applied as parameters in the model. In other words, only few of the behaviour of the couples to each other are taken into account while the rest of the answers were kept frozen, results were used to confirm if the behaviour of certain number of individuals observed in real life can be explained through the answers provided by individuals in the survey which was included in the theory. Numerical simulations are also presented to show the effectiveness of the survey results.

Author Biographies

Adetoro Temitope Talabi, Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Victor Uzodinma Chukwuma, Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Rasaki Kolawole Odunaike, Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

References

Cherif, A., & Barley, K., (2011). Stochastic nonlinear dynamics of interpersonal and romantic relationships. Applied Mathematics and Computation, 217(13):6273-6281. doi:10.1016/j.amc. 2010.12.117.

Cherlin, A. (2004). The deinstutionalization of marriage. Journal of Marriage and Family, 66(4): 848-861. doi:10.1111/j.0022-2445.2004.00058.x

D'Vera, C. (2013). Pew research center, social and demographic trends.

Gottman, J. M., Swanson, C. C., & Murray, J. D. (2005). The Mathermatics of marital conflict: Dynamic mathematical nonlinear modeling of newlywed marital interaction. The MIT Press

Jose-Manuel R. (2010). A mathematical model of sentimental dynamics accounting for marital dissolution. PloS ONE 5 (3), e9881. doi: 10.1371 / journal. pone. 0009881

Kefalas, M. J., Furstenberg, F. F., Carr, P. J., & Napolitano, L. (2011). Marriage is more than being together: The meaning of marriage for young adults. Journal of Family Issues, 32(7): 845–875. doi 10.1177/0192513X10397277.

Liao, X., & Ran, J. (2007). Hopf bifurcation in love dynamical models with nonlinear couples and time delays. Chaos, Solitons and Fractals 31 (4): 853–865. doi:10.1016/j.chaos.2005.10.037

Sprott, J.C. (2001). Dynamics of love and Happiness, Chaos and Complex Systems Seminar in Madison, Wisconsin 2001

Sprott, J. C. (2004). Dynamical Models of Love. Nonlinear Dynamics Psychology and Life Sciences, 8 (3): 303-313.

Stanger-Ross, J., Collins, C., & Stern, M. (2005). Falling far from the tree: Transitions to adulthood and the social history of Twentieth Century America. Social Science History, 29 (29) : 625648. doi:10.1017/S014555320001333

Ventura, S. J., & Bachrach, C. A. (2000). Non marital childbearing in the United States, 1940-1999. National Vital Statistics Reports, 48 (16), Washington, DC:

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Published

2020-11-06

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Articles