fitzhughnagumo¶
- probnum.problems.zoo.diffeq.fitzhughnagumo(t0=0.0, tmax=20.0, y0=None, params=(0.2, 0.2, 3.0, 1.0))[source]¶
Initial value problem (IVP) based on the FitzHugh-Nagumo model.
The FitzHugh-Nagumo (FHN) model is defined through
\[\begin{split}f(t, y) = \begin{pmatrix} y_1 - \frac{1}{3} y_1^3 - y_2 + a \\ \frac{1}{d} (y_1 + b - c y_2) \end{pmatrix}\end{split}\]for parameters \((a, b, c, d)\). Default is \((a, b)=(0.2, 0.2, 3.0)\). This implementation includes the Jacobian \(J_f\) of \(f\).
- Parameters
t0 – Initial time.
tmax – Final time.
y0 – (shape=(2, )) – Initial value. Defaults to
[1., -1.].params – Parameters
(a, b, c, d)of the FitzHugh-Nagumo model.
- Returns
InitialValueProblem object describing the FitzHugh-Nagumo model with the prescribed configuration.
- Return type