Publication details

Gröbner Basis Method in the FitzHugh-Nagumo Model


HAJNOVÁ Veronika

Year of publication 2018
Type Conference abstract
MU Faculty or unit

Faculty of Science

Description 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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