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arXiv · 1609.07103

Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size

Pierre Guiraud·Etienne Tanré
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Abstract

We study the synchronization of fully-connected and totally excitatory integrate and fire neural networks in presence of Gaussian white noises. Using a large deviation principle, we prove the stability of the synchronized state under stochastic perturbations. Then, we give a lower bound on the probability of synchronization for networks which are not initially synchronized. This bound shows the robustness of the emergence of synchronization in presence of small stochastic perturbations.

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Pierre Guiraud, Etienne Tanré. 2016-09-22. Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size. https://doi.org/10.3934/dcdsb.2019056

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