Action potentials resulting from periodic stimulation of nerve axons o
ccur at intervals that are irregular at moderate stimulation frequenci
es. Histograms of the intervals are multimodal, as seen in stochastic
resonance. At higher stimulation frequencies, the action potentials ar
e suppressed entirely, leaving only subthreshold dynamics. Return maps
constructed from data show that both types of response are governed b
y the same deterministic one-dimensional description, with an unstable
subthreshold fixed point largely accounting for the irregular interva
ls at moderate stimulation frequencies.