Dynamics of Love and Happiness: A Mathematical Analysis

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Dharna Satsangi 1,* Arun K. Sinha 1

1. Department of Mathematics, Dayalbagh Educational Institute, Agra, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijmecs.2012.05.05

Received: 14 Jan. 2012 / Revised: 16 Feb. 2012 / Accepted: 11 Apr. 2012 / Published: 8 May 2012

Index Terms

Differential equations, Human behavior, Rowth-Hurwitz Criteria


The human behavior is a combination of several feelings. There are two cases whether a person likes other individual or not. The liking of an individual leads to love and finally happiness. The feelings of love may be in different forms but here considered to be partners' love. There are three aspects of love for the partner: forgetting process (oblivion), the pleasure of being loved (return), and the reaction to the appeal of the partner (instinct). Along with that the appeals and the personalities of the two individuals do not vary in time. This model proves that if the geometric mean reactive-ness to love is smaller than the geometric mean forgetting coefficient and the system is asymptotically stable if the ratio of appeals is greater than the reciprocal of ratio of mutual intensiveness coefficient.

Cite This Paper

Dharna Satsangi, Arun K. Sinha, "Dynamics of Love and Happiness: A Mathematical Analysis", International Journal of Modern Education and Computer Science (IJMECS), vol.4, no.5, pp.31-37, 2012. DOI:10.5815/ijmecs.2012.05.05


[1]J.C.Sprott "Dynamics of love and Happiness",Chaos and Complex Systems Seminar in Madison, Wisconsin 2001.
[2]Stenberg, R.J. & Barnas, M.L. (Eds.). The psychology of love. New Haven, CT: Yale University Press 1988.
[3]S.H.Srogatz, Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry and Engineering, Addison-Wesley, Reading, M.A. 1994.
[4]S.H.Strogatz. Love affairs and differential equations, math.Mag. 1988; 61: 35.
[5]Sergio Rinaldi , "Love dynamics", 1998; 95: 181-192.
[6]R. R. Kobak, C. Hazan. Attachment in marriage: the effect of security and accuracy of working models, J. Personality Social Psych. 1991; 60: 861-869.
[7]E. Scharfe, K. Bartholomew, Realiability and stability of adult attachment patterns, Personal Relationship 1994; 1: 23-43.
[8]J. Wauer, D. Schwarzer, G.Q. Cai, Y.K. Lin, "Dynamical models of love with time-varying fluctuations" 2007; 188: 1535-1448.
[9]K. Bartholomew, L. M. Horowitz. Attachment styles among young adults: a test of a four-category model, J. Personality Social Psych. 1991; 61: 226-244
[10]K.B. Carnelly, R. Janoff-Bulman. Optimism about love relationships: general vs. specific lessons from one's personal experiences, J. Social Personal Relat. 1992; 9: 5-20.
[11]D.W. Griffin, K. Bartholomew, Models of the self and other. Fundamental dimensions underlying measures of adult attachment, J. Personality Social Psych. 1994; 67: 430-445.