Before revision:  This has consequences for spike-time coding as it effectively increases the output entropy of neuronal ensembles. Here, the spiking statistics is derived for homoclinic conductance-based neuron models.
After revision:  Qualitative features of the resulting spike statistics depend on the spike onset bifurcations. This study focuses on the creation of the spiking limit cycle via the saddle-homoclinic orbit (HOM) bifurcation and derives interspike interval (ISI) densities for a conductance-based neuron models.