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 email@example.com
Revised: 13 June 2000
Published online: 15 December 2000
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 87.18.Sn – Neural networks
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000