Gröbner Basis Method in the FitzHugh-Nagumo Model

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

HAJNOVÁ Veronika

Year of publication 2018
Type Conference abstract
MU Faculty or unit

Faculty of Science

Citation
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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.