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@inproceedings{1518157,
author = {Hajnová, Veronika},
address = {Springer Proceedings in Complexity},
booktitle = {11th Chaotic Modeling and Simulation International Conference},
doi = {http://dx.doi.org/10.1007/978-3-030-15297-0_8},
editor = {C. H. Skiadas and I. Lubashevsky},
keywords = {FitzHughův-Nagumův model; Gröbnerovy báze; Slow-fast systém; Hopfova bifurkace; Fold bifurkace},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Springer Proceedings in Complexity},
isbn = {978-3-030-15296-3},
pages = {77-84},
publisher = {Springer International Publishing},
title = {Gröbner Basis Method in FitzHugh-Nagumo Model},
url = {https://www.springer.com/us/book/9783030152963},
year = {2019}
}
TY - JOUR
ID - 1518157
AU - Hajnová, Veronika
PY - 2019
TI - Gröbner Basis Method in FitzHugh-Nagumo Model
PB - Springer International Publishing
CY - Springer Proceedings in Complexity
SN - 9783030152963
KW - FitzHughův-Nagumův model
KW - Gröbnerovy báze
KW - Slow-fast systém
KW - Hopfova bifurkace
KW - Fold bifurkace
UR - https://www.springer.com/us/book/9783030152963
L2 - https://www.springer.com/us/book/9783030152963
N2 - The FitzHugh-Nagumo model is a two dimensional system of differential 2 equations with polynomial right-hand sides. The model describes an excitable system 3 and explains basic phenomena in dynamics of neuron activity, for example spike 4 generations in a neuron after stimulation by external current input. The system is 5 slow-fast, meaning system with different time scales for each state variable. We 6 analyse bifurcation manifolds of the FitzHugh-Nagumo system in whole parameter 7 space using algebraic approach based on Gröbner basis.
ER -
HAJNOVÁ, Veronika. Gröbner Basis Method in FitzHugh-Nagumo Model. In C. H. Skiadas and I. Lubashevsky. \textit{11th Chaotic Modeling and Simulation International Conference}. Springer Proceedings in Complexity: Springer International Publishing, 2019, s.~77-84. ISBN~978-3-030-15296-3. Dostupné z: https://dx.doi.org/10.1007/978-3-030-15297-0\_{}8.
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