title: Delay, noise and phase locking in pulse coupled neural networks.
abstract: This paper studies the effect of several delay times and noise on the stability of the phase-locked state in the lighthouse model and the integrate and fire model of a pulse coupled neural network. The coupling between neurons may be arbitrary. In both models the increase of delay times leads to a weakening of the stability and to the occurrence of relaxation oscillations.
authors.affiliation: Institute for Theoretical Physics, Center of Synergetics, Pfaffenwaldring 57/4, D-70550, Stuttgart, Germany.
authors.forename: H
authors.initials: H
authors.lastname: Haken
mesh_terms: D003712:Dendrites / Q000502:physiology; D008954:Models, Biological; D009415:Nerve Net