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math.AP2021
Long time behavior of an age and leaky memory-structured neuronal population equation
Claudia Fonte, Valentin Schmutz
We study the asymptotic stability of a two-dimensional mean-field equation, which takes the form of a nonlocal transport equation and generalizes the time-elapsed neuron network mo…
math.PR2021★ 1 cited
On a finite-size neuronal population equation
Valentin Schmutz, Eva Löcherbach, Tilo Schwalger
Population equations for infinitely large networks of spiking neurons have a long tradition in theoretical neuroscience. In this work, we analyze a recent generalization of these e…