fitzhugh_nagumo

diffeqzoo.ivps.fitzhugh_nagumo(*, initial_values=(-1.0, 1.0), time_span=(0.0, 20.0), parameters=(0.2, 0.2, 3.0))

Construct the FitzHugh-Nagumo model.

The FitzHugh-Nagumo model is a simple example of an excitable system (for example: a neuron). This simplified, 2d-version of the Hodgkin-Huxley model (which describes the spike generation in squid giant axons) was suggested by FitzHugh (1961) and Nagumo et al. (1962)

The following bibtex(s) point to the original papers about the FitzHugh-Nagumo models. (Source: Google Scholar).

BibTex for FitzHugh (1961)

@article{fitzhugh1961impulses,
    title={Impulses and physiological states in
    theoretical models of nerve membrane},
    author={FitzHugh, Richard},
    journal={Biophysical Journal},
    volume={1},
    number={6},
    pages={445--466},
    year={1961},
    publisher={Elsevier}
}

BibTex for Nagumo et al. (1962)

@article{nagumo1962active,
    title={An active pulse transmission line simulating nerve axon},
    author={Nagumo, Jinichi and Arimoto, Suguru and Yoshizawa, Shuji},
    journal={Proceedings of the IRE},
    volume={50},
    number={10},
    pages={2061--2070},
    year={1962},
    publisher={IEEE}
}