  Subthreshold oscillations in neurons are those oscillations which do not
attain the critical value of the membrane's voltage needed for triggering an
action potential (a spike). Their contribution to the forming of action
potentials in neurons is a current field of research in biology. The present
work approaches this subject using tools from mathematical modeling, more
exactly, a neuronal non-smooth map-based model is proposed and studied. The
behavior of the model in a noisy medium is also studied.
