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arXiv · 1108.5786

Time Delay Effect on the Love Dynamical Model

Woo-Sik Son·Young-Jai Park
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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.

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BibTeXRIS

Woo-Sik Son, Young-Jai Park. 2011-08-30. Time Delay Effect on the Love Dynamical Model. https://doi.org/10.3938/jkps.59.2197

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