Gröbner Basis Method in FitzHugh-Nagumo Model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00109421" target="_blank" >RIV/00216224:14310/19:00109421 - isvavai.cz</a>
Result on the web
<a href="https://www.springer.com/us/book/9783030152963" target="_blank" >https://www.springer.com/us/book/9783030152963</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-15297-0_8" target="_blank" >10.1007/978-3-030-15297-0_8</a>
Alternative languages
Result language
angličtina
Original language name
Gröbner Basis Method in FitzHugh-Nagumo Model
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
11th Chaotic Modeling and Simulation International Conference
ISBN
9783030152963
ISSN
2213-8684
e-ISSN
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Number of pages
8
Pages from-to
77-84
Publisher name
Springer International Publishing
Place of publication
Springer Proceedings in Complexity
Event location
Řím, Itálie
Event date
Jan 1, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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