Time Delay Effect on the Love Dynamical Model
Chaotic Dynamics
2018-02-14 v1
Abstract
We investigate the effect of time delay on the dynamical model of love. The local stability analysis proves that the time delay on the return function can cause a Hopf bifurcation and a cyclic love dynamics. The condition for the occurrence of the Hopf bifurcation is also clarified. Through a numerical bifurcation analysis, we confirm the theoretical predictions on the Hopf bifurcation and obtain a universal bifurcation structure consisting of a supercritical Hopf bifurcation and a cascade of period-doubling bifurcations, i.e., a period doubling route to chaos.
Cite
@article{arxiv.1108.5786,
title = {Time Delay Effect on the Love Dynamical Model},
author = {Woo-Sik Son and Young-Jai Park},
journal= {arXiv preprint arXiv:1108.5786},
year = {2018}
}
Comments
To appear in Journal of Korean Physical Society