Chaos Lab

Continuous flow · dim 3

Hindmarsh-Rose neuron

A 3-variable model of bursting and spiking neuron activity. Reproduces the chaotic firing patterns observed in real neurons.

Hindmarsh-Rose neuron in chaotic bursting regime (I = 3.25).

Equations

dx/dt = y − a x³ + b x² − z + I
dy/dt = c − d x² − y
dz/dt = r (s (x − x_R) − z)

At a glance

Parametersa = 1, b = 3, c = 1, d = 5, s = 4, x_R = −1.6, r = 0.005, I = 3.25 (classical)
Chaotic forspecific I windows in (3.0, 3.4)
HistoryHindmarsh and Rose (1984).

Try it

Open the interactive playground at /tools/hindmarsh-rose.

See also

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