We analyze the effects of synaptic depression or facilitation on the existence
and stability of the splay or asynchronous state in a population of all-to-all,
pulse-coupled neural oscillators. We use mean-field techniques to derive
conditions for the local stability of the splay state and determine how stability
depends on the degree of synaptic depression or facilitation. We also consider
the effects of noise. Extensions of the mean-field results to finite networks are
developed in terms of the nonlinear firing time map.
This is a pre-print. The definitive version: BRESSLOFF, P.C., 1999. Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses. Physical Review E, 60(2), pp.2160-2170 Part B, is available at: http://pre.aps.org/.