Chaos Lab

Continuous flow · dim 2

FitzHugh-Nagumo

2D simplification of Hodgkin-Huxley neuron model. Exhibits excitable dynamics, limit cycles, and (with periodic forcing) period-doubling chaos.

Periodically forced FitzHugh-Nagumo excitable neuron model.

Equations

dv/dt = v − v³/3 − w + I
dw/dt = ε (v + a − b w)

At a glance

Parametersa, b, ε, I
Chaotic forforced regime with periodic I(t)
HistoryFitzHugh (1961), Nagumo et al. (1962).

See also

Quick quiz

Test yourself on fitzhugh-nagumo

8 multiple-choice questions. Pick an answer for each, then submit to see explanations.

  1. Q1.FitzHugh-Nagumo (1961) simplifies which famous model?

  2. Q2.Number of state variables in FHN:

  3. Q3.FHN exhibits which kind of behaviour?

  4. Q4.Where does chaos arise in FHN?

  5. Q5.FHN is part of the:

  6. Q6.FHN is named after:

  7. Q7.FHN's nullclines have what shape?

  8. Q8.Real applications of FHN include:

0 of 8 answered