Oscillatory phase transition and pulse propagation in noisy integrate-and-fire neurons

Abstract

We study non-locally coupled noisy integrate-and-fire neurons with the Fokker-Planck equation. A propagating pulse state and a wavy state appear as a phase transition from an asynchronous state. We also find a solution in which traveling pulses are emitted periodically from a pacemaker region.

9 pages, 4 figures