Search
Abstract
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.
Citations
-
1
CrossRef
-
0
Web of Science
-
3
Scopus
Authors (3)
Cite as
Full text
download paper
downloaded 29 times
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.34768/amcs-2023-0028
- License
-
open in new tab
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
International Journal of Applied Mathematics and Computer Science
no. 33,
pages 395 - 408,
ISSN: 1641-876X - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Bartłomiejczyk P., Llovera Trujillo F., Signerska-Rynkowska J.: Spike patterns and chaos in a map-based neuron model// International Journal of Applied Mathematics and Computer Science -Vol. 33,iss. 3 (2023), s.395-408
- DOI:
- Digital Object Identifier (open in new tab) 10.34768/amcs-2023-0028
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
seen 88 times
Recommended for you
Integrate-and-fire models with an almost periodic input function
- P. Kasprzak,
- A. Nawrocki,
- J. Signerska-Rynkowska
2018