SubHopf/Fold-Cycle Bursting in the Hindmarsh–Rose Neuronal Model with Periodic Stimulation

The dynamics of Hindmarsh–Rose neuronal systems with periodic external stimulation is investigated. The bursting phenomenon can be observed in numerical simulations when an order gap exists between the stimulation frequency and the natural frequency of the system. By treating the external stimulation as a control parameter that modulates the dynamics of the system, the bifurcation mechanism for the periodic bursting solution is discussed with the slow-fast analysis method.