Gröbner Basis Method in FitzHugh-Nagumo Model
| Autor: | Veronika Hajnová |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0106 biological sciences
Hopf bifurcation State variable Polynomial Quantitative Biology::Neurons and Cognition 010102 general mathematics Saddle-node bifurcation Parameter space 010603 evolutionary biology 01 natural sciences symbols.namesake Gröbner basis symbols Applied mathematics FitzHugh–Nagumo model 0101 mathematics Algebraic number Nonlinear Sciences::Pattern Formation and Solitons Mathematics |
| Zdroj: | 11th Chaotic Modeling and Simulation International Conference ISBN: 9783030152963 |
| Popis: | 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 analyse bifurcation manifolds of the FitzHugh-Nagumo system in whole parameter space using algebraic approach based on Grobner basis. |
| Databáze: | OpenAIRE |
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