Abstract
By introducing periodic switching signal associated with illumination to the Originator, a switched mathematical model has been established. The bifurcation sets are derived based on the characteristics of the equilibrium points. Two types of periodic oscillation, such as 2T-focus/cycle periodic switching and 2T-focus/focus periodic switching, have been observed, the mechanism of which is presented through the switching relationship. The distribution of eigenvalues related to the equilibrium points determined by two subsystems is discussed to interpret oscillation-increasing and oscillation-decreasing cascades of the periodic oscillations. Furthermore, the invariant subspaces of the equilibrium point are investigated to reveal the mechanism of dynamical phenomena in the periodic switching.
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