Browsing University of Waterloo by Subject "bursting"
Now showing items 1-2 of 2
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Hysteresis bifurcation and application to delayed FitzHugh-Nagumo neural systems
(Elsevier, 2021-08)Hysteresis dynamics has been described in a vast number of biological experimental studies. Many such studies are phenomenological and a mathematical appreciation has not attracted enough attention. In the paper, we explore ... -
Mean-field models for heterogeneous networks of two-dimensional integrate and fire neurons
(Frontiers Media, 2017-12-27)We analytically derive mean-field models for all-to-all coupled networks of heterogeneous, adapting, two-dimensional integrate and fire neurons. The class of models we consider includes the Izhikevich, adaptive exponential ...