Dynamic of Love

Dynamical systems both linear and non-linear have the power to describe intricate behavior and provide analysis. In this paper, linear and non-linear models are employed to replicate the interaction between individuals with varying romantic styles. Using traditional analysis methods the goal was to examine the models laid out in Sprott of the dynamic phenomena of love. The graphical outputs and implications between the simple linear and two-dimensional non-linear models were compared; despite identical initial conditions, results varied. This showcases the impact that a variation of parameters has on the system. The non-linear model had an additional logistic function, which made the system more realistic by adding the possibility for emotional reactions. Predictions suggest that with the addition of more parameters, the dynamical system will diverge to chaos.