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FitzHugh-Nagumo

anypinn create my-project --template fitzhugh-nagumo

Two-field nonlinear neuron model. Recovers timescale ε from a partially observed voltage trace.

Problem

Two fields (v, w), one learnable parameter (ε):

\[ \dot{v} = v - \frac{v^3}{3} - w + I_{\text{ext}}, \qquad \dot{w} = \varepsilon(v + a - bw) \]

Features Demonstrated

  • Partial observability (only voltage is observed)
  • Scalar Parameter recovery
  • Neural excitation dynamics

Results

FitzHugh-Nagumo results