Informace o publikaci
Gröbner Basis Method in the FitzHugh-Nagumo Model
| Název česky | Gröbnerovy báze a FitzHughův-Nagumův Model |
|---|---|
| Autoři | |
| Rok publikování | 2018 |
| Druh | Konferenční abstrakty |
| Fakulta / Pracoviště MU | |
| Citace | |
| Popis | The FitzHugh-Nagumo model is a two dimensional system of differential equations with polynomial right-hand sides. The model describes an excitable system and explains basic phenomena in dynamics of neuron activity, for example spike generations in a neuron after stimulation by external current input. The system is slow-fast, meaning system with different time scales for each state variable. We analyze bifurcation manifolds of the FitzHugh-Nagumo system in whole parameter space using algebraic approach based on Gröbner basis. |
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