- Tytuł:
- Spike patterns and chaos in a map-based neuron model
- Autorzy:
-
Bartłomiejczyk, Piotr
Llovera Trujillo
Signerska-Rynkowska, Justyna - Powiązania:
- https://bibliotekanauki.pl/articles/24200689.pdf
- Data publikacji:
- 2023
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
neuronal dynamics
β-transformations
Farey–Lorenz permutations
periodic spiking
chaos
dynamika neuronalna
permutacje Fareya-Lorenza - Opis:
- The work studies the well-known map-based model of neuronal dynamics introduced in 2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We also review and extend some of the existing results concerning β-transformations and (expanding) Lorenz mappings. Then we apply them for deducing important properties of spike-trains generated by the CNV model and explain their implications for neuron behaviour. In particular, using recent theorems of rotation theory for Lorenz-like maps, we provide a classification of periodic spiking patterns in this model.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2023, 33, 3; 395--408
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł