We study the relationship of injected current to oscillator period in
single neurons and two-cell model networks formed by reciprocal inhibi
tory synapses. Using a Morris-Lecar-like model, we identify two qualit
ative types of oscillatory behavior for single model neurons. The ''cl
assical'' oscillator behavior is defined as type A. Here the burst dur
ation is relatively constant and the frequency increases with depolari
zation. For oscillator type B, the frequency first increases and then
decreases when depolarized, due to the variable burst duration. Our si
mulations show that relatively modest changes in the maximal inward an
d outward conductances can move the oscillator from one type to anothe
r. Cultured stomatogastric ganglion neurons exhibit both A and B type
behaviors and can switch between the two types with pharmacological ma
nipulation. Our simulations indicate that the stability of a two-cell
network with injected current can be extended with inhibitory coupling
. In addition, two-cell networks formed from type A or type B oscillat
ors behave differently from each other at lower synaptic strengths.