Eur. Phys. J. B 18, 545-550 (2000)
https://doi.org/10.1007/s100510070045

Effect of delay on phase locking in a pulse coupled neural network

Institute for Theoretical Physics, Center of Synergetics, Pfaffenwaldring 57/4, 70550 Stuttgart, Germany

Corresponding author: ^a haken@theo1.physik.uni-stuttgard.de

Received: 28 December 1999
Revised: 13 June 2000
Published online: 15 December 2000

Abstract

Using a slightly simplified version of the integrate and fire model of a neural network with delay, I study the stability of the phase-locked state dependent on the coupling between the neurons and especially on a delay time. The coupling between neurons may be arbitrary. It is shown that the phase-locked state becomes less stable with increasing delay and that relaxation oscillations occur.