Abstract
In this paper, strategy of hybrid control for a dynamical love system is taken into account. Hybrid controller is used to control the behaviour of love systems for the first time. By choosing suitable bifurcation parameter, it can be found that the Hopf bifurcation occurs when bifurcation parameter passes through a critical value. Stability analysis shows that by setting proper values of hybrid controller, the appearance of bifurcation will be delayed or advanced, and some interesting behaviors can be achieved. The stability of the bifurcating cycle for love dynamics are also derived. Finally, numerical simulation illustrate this control strategy is useful in controlling the appearance of Hopf bifurcation which has taken place in love model.
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