According to some research results neuronal systems operate most efficiently on the "edge of chaos". So the chaotic behaviour of neuron models is worth being examined. The talk is about a reduced Hodgkin-Huxley-model for a neuronal membrane lacking an inactivation gate for the sodium channel. The phase space is two-dimensional and thus easier to analyze. First the model is introduced and a short description of its phase space is presented. Excitation by a periodic current with increasing amplitude leads on a period-doubling route to chaos. In the chaotic regime an aesthetically not unpleasant strange attractor is found.