Stability analysis for Selkov-Schnakenberg reaction-diffusion system
| Autor: | K.S. Al Noufaey |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Hopf bifurcation
Singularity theory General Mathematics 010102 general mathematics Mathematical analysis 01 natural sciences Stability (probability) 010305 fluids & plasmas symbols.namesake semi-analytical solutions singularity theory 0103 physical sciences Reaction–diffusion system 34-xx 37-xx symbols selkov-schnakenberg model 35-xx QA1-939 lindstedt-poincaré method 65-xx 0101 mathematics hopf bifurcation Mathematics |
| Zdroj: | Open Mathematics, Vol 19, Iss 1, Pp 46-62 (2021) |
| ISSN: | 2391-5455 |
| Popis: | This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations. The steady states of the system and the limit cycle solutions are delineated using bifurcation diagram analysis. The influence of the diffusion coefficients as they change, on the system stability is examined. Near the Hopf bifurcation point, the asymptotic analysis is developed for the oscillatory solution. The semi-analytical model solutions agree accurately with the numerical results. |
| Databáze: | OpenAIRE |
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