Time Delay Effect on the Love Dynamical Model

Details Time Delay Effect on the Love Dynamical Model Time Delay Effect on the Love Dynamical Model

2011-08-30

arxiv.org/abs/1108.5786v1

Nonlinear Sciences

Chaotic Dynamics

To appear in Journal of Korean Physical Society

Scientific paper

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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