Coupled FitzHugh–Nagumo Neurons
The FitzHugh–Nagumo system is a two-dimensional reduction of excitable kinetics: a fast activator-like variable v and a slow recovery w produce relaxation oscillations. Diffusive coupling k(v_j − v_i) on the fast variable lets two units synchronize or drift depending on drive I and coupling strength.
Who it's for: Students comparing low-dimensional oscillator models to coupled neurons.
Key terms
- FitzHugh–Nagumo
- Coupled oscillators
- Synchronization
- Phase space
Classic FHN reduction of Hodgkin–Huxley; not a quantitative cortical model.
Live graphs
How it works
Minimal coupled excitable units: synchronization metric and (v₁,v₂) projection illustrate how coupling recruits two slow–fast oscillators.
Frequently asked questions
- What does RMS(v₁−v₂) measure?
- A simple order parameter for synchrony over the second half of the window: small values mean the trajectories track each other after transients.
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