title: Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses.
abstract: 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.
authors.affiliation: Nonlinear and Complex Systems Group, Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.
authors.forename: P C
authors.initials: PC
authors.lastname: Bressloff
mesh_terms: D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry; D013569:Synapses / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology