| Autor: |
Benjamin Ambrosio, M. A. Aziz-Alaoui, Argha Mondal, Arnab Mondal, Sanjeev K. Sharma, Ranjit Kumar Upadhyay |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Biology, Vol 12, Iss 7, p 918 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2079-7737 |
| DOI: |
10.3390/biology12070918 |
| Popis: |
This article focuses on the qualitative analysis of complex dynamics arising in a few mathematical models in neuroscience context. We first discuss the dynamics arising in the three-dimensional FitzHugh–Rinzel (FHR) model and then illustrate those arising in a class of non-homogeneous FitzHugh–Nagumo (Nh-FHN) reaction-diffusion systems. FHR and Nh-FHN models can be used to generate relevant complex dynamics and wave-propagation phenomena in neuroscience context. Such complex dynamics include canards, mixed-mode oscillations (MMOs), Hopf-bifurcations and their spatially extended counterpart. Our article highlights original methods to characterize these complex dynamics and how they emerge in ordinary differential equations and spatially extended models. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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