中文摘要：

为了明确多个外激励作用下系统的簇发行为,通过引入2个电压源控制的电路模块,建立了具有双激励的5阶广义BVP耦合电路模型.将2个外激励项转化为1个慢变量并将其视为慢变参数,激励系统转化为广义自治系统,分析了广义自治系统平衡点的稳定性以及分岔条件.应用快慢分析法和转换相图探讨了系统分别在3组参数条件的簇发振荡行为及其诱发机理.结果表明,多平衡态共存的情况下,系统轨线所处的吸引域决定了轨线的走向.

英文摘要：

To explore the bursting behaviors of dynamical system with multiple external excitations,a fifth-order 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 slow-fast 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 co-existence of multiple equilibrium states,the direction of trajectory is determined by the attracting basins of attractors.