TRAVELING WAVES IN A CHAIN OF PULSE-COUPLED OSCILLATORS

We derive conditions for the existence of traveling wave solutions in a chain of pulse-coupled integrate-and-fire oscillators with nearest-n eighbor interactions and distributed delays. A linear stability analys is of the traveling waves is carried out in terms of perturbations of the firing times of the oscillators. It is shown how traveling waves d estabilize when the detuning between oscillators or the strength of th e coupling becomes too large.