Bursting phenomena as well as the bifurcation mechanism in periodically excited hartley model

By introducing periodically alternated current source aswell as suitable values for the parameters to ensure that there exists ordergap between the natural frequency and the exited frequency, nonlinearelectric circuit with fast-slow effect has been established. Based on theconception of generalized autonomous system and the analysis of theproperties of equilibrium points, all possible bifurcation forms have beendiscussed. Different types of bursting phenomena, such as fold/fold burster,fold/subHopf/supHopf burster, in which the fold or Hopf bifurcations mayconnect the quiescent states and the spiking states, have been presented.The mechanism of the bursters is explored via bifurcation analysis, whichhas been illustrated by transformed phase portraits of the generalizedautonomous system.