59 citations · 186 across the 12 of their papers we have counts for
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math.DS2019★ 22 cited
Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile, Mathieu Desroches, Romain Veltz +1
We present a rigorous framework for the local analysis of canards and slow passages through bifurcations in a wide class of infinite-dimensional dynamical systems with time-scale s…
math.NA2019
Mean-field limit of interacting 2D nonlinear stochastic spiking neurons
Benjamin Aymard, Fabien Campillo, Romain Veltz
In this work, we propose a nonlinear stochastic model of a network of stochastic spiking neurons. We heuristically derive the mean-field limit of this system. We then design a Mont…