Dynamics of spiking neurons with electrical coupling

We analyze the existence and stability of phase-locked states of neurons co upled electrically with gap junctions. We show that spike shape and size, a long with driving current (which affects network frequency), play a large r ole in which phase-locked modes exist and are stable. Our theory makes pred ictions about biophysical models using spikes of different shapes, and we p resent simulations to confirm the predictions. We also analyze a large syst em of all-to-all coupled neurons and show that the splay-phase state can ex ist only for a certain range of frequencies.