Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses.

  • Paul C. Bressloff
  • Published 1999 in
    Physical review. E, Statistical physics, plasmas…

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.

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Cite this paper

@article{Bressloff1999MeanfieldTO, title={Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses.}, author={Paul C. Bressloff}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={1999}, volume={60 2 Pt B}, pages={2160-70} }