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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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