HINDMARSH–ROSE NEURON

A minimal 3-variable model (1984) capturing the full range of neuronal firing: quiescence, tonic spiking, and chaotic bursting. The slow variable z controls burst generation.

ẋ = y - ax³+bx² - z + I
ẏ = c - dx² - y
ż = r(s(x-x₀) - z)

Applied current I 3.0 Adaptation rate r 0.006 Slow variable s 4.0 Speed 5 Reset