Abstract
v) plane having a stable critical point at (1,O) and unstable critical points at (0,O) and (cos &, , sin &). Moreover, if we take 0 < & < rc, then flows starting with /3, < /I < rc make large excursions before decaying to (1, 0), whereas those with 0 < /? < & decay monotonically to (l,O). This “excitability” is a feature in common with the nonlinear vector field in the Hodgkin-Huxley equations, and also with the simpler FitzHugh-Nagumo equations. We begin by describing some results of numerical simulations we made of
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