Abstract：To explore the bursting behaviors of dynamical system with multiple external excitations, a fifthorder generalized BVP coupling circuit model was
established with two external excitations by introducing two periodically changed current sources. By employing a slow variable, the two external exciting
terms were expressed in slow variables, and the original system was converted into a generalized autonomous system of which the stability and bifurcations of
equilibrium points were analyzed. Based on the slowfast analysis method and the transformed phase portraits, different types of bursting behaviors and
mechanism were discussed with three groups of parameter values. The results show that for the coexistence of multiple equilibrium states, the direction of
trajectory is determined by the attracting basins of attractors.
2017, Vol. 38 
