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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.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.34768/amcs-2023-0028
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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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
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