61 citations · 79 across the 6 of their papers we have counts for
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math.AP2018★ 5 cited
Clamping and Synchronization in the strongly coupled FitzHugh-Nagumo model
Cristobal Quiñinao, Jonathan D. Touboul
We investigate the dynamics of a limit of interacting FitzHugh-Nagumo neurons in the regime of large interaction coefficients. We consider the dynamics described by a mean-field mo…
math.AP2018★ 12 cited
Weak and strong connectivity regimes for a general time elapsed neuron network model
Stéphane Mischler, Cristobal Quiñinao, Qilong Weng
For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the…