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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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • 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

  • 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