We investigate bifurcations of periodic solutions in model equations of two
and three Bonhoffer-van der Pol (BVP) neurons coupled through the characte
ristics of synaptic transmissions with a time delay. Bifurcations of the co
upled BVP neurons are compared with bifurcations of synaptically coupled Ho
dgkin-Huxley neurons. We obtained a parameter set of the BVP system such th
at the two systems are qualitatively very similar from a bifurcational poin
t of view. This study is a base for the analysis of synaptically coupled ne
urons with a large number of coupling strategies.