Stochastic mean-field formulation of the dynamics of diluted neural networks

  title={Stochastic mean-field formulation of the dynamics of diluted neural networks},
  author={David Angulo-Garc{\'i}a and Alessandro Torcini},
  journal={BMC Neuroscience},
  pages={P263 - P263}
We consider pulse-coupled leaky integrate-and-fire neural networks with randomly distributed synaptic couplings. This random dilution induces fluctuations in the evolution of the macroscopic variables and deterministic chaos at the microscopic level. Our main aim is to mimic the effect of the dilution as a noise source acting on the dynamics of a globally coupled nonchaotic system. Indeed, the evolution of a diluted neural network can be well approximated as a fully pulse-coupled network, where… 

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