Subthreshold oscillations in a map-based neuron model
  Self-sustained subthreshold oscillations in a discrete-time model of neuronal behavior are considered. We discuss bifurcation scenarios explaining the birth of these oscillations and their transformation into tonic spikes. Specific features of these transitions caused by the discrete-time dynamics of the model and the influence of external noise are discussed. 
Andrey L. Shilnikov and Nikolai F. Rulkov