Maximizing a psychological uplift in love dynamics

TL;DR

This paper analyzes the dynamics of psychological uplift in love relationships, evaluates existing models, and proposes a novel stochastic parameter optimization method to sustain love over time.

Contribution

It introduces a stochastic parameter approach using Boltzmann-Gibbs distribution to optimize love dynamics models for better relationship stability.

Findings

Extensive evaluation of Rinaldi et al.'s dynamical equations.

Numerical analysis of parameter dependencies.

Proposed a stochastic optimization method for parameters.

Abstract

In this paper, we investigate the dynamical properties of a psychological uplift in lovers. We first evaluate extensively the dynamical equations which were recently given by Rinaldi et. al., Physica A 392, pp.3231-3239 (2013). Then, the dependences of the equations on several parameters are numerically examined. From the view point of lasting partnership for lovers, especially, for married couples, one should optimize the parameters appearing in the dynamical equations to maintain the love for their respective partners. To achieve this optimization, we propose a new idea where the parameters are stochastic variables and the parameters in the next time step are given as expectations over a Boltzmann-Gibbs distribution at a finite temperature. This idea is very general and might be applicable to other models dealing with human relationships.