Creator:

Bartłomiejczyk, Piotr ; Llovera Trujillo, Frank ; Signerska-Rynkowska, Justyna

Contributor:

Foryś, Urszula - ed. ; Rejniak, Katarzyna - ed. ; Pękala, Barbara - ed. ; Bartłomiejczyk, Agnieszka - ed.

Title:

Spike patterns and chaos in a map-based neuron model

Subtitle:

.

Group publication title:

AMCS, volume 33 (2023)

Subject and Keywords:

neuronal dynamics ; ß-transformations ; Farey-Lorenz permutations ; periodic spiking ; chaos

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 ß-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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2023

Resource Type:

artykuł

DOI:

10.34768/amcs-2023-0028

Pages:

395-408

Source:

AMCS, volume 33, number 3 (2023) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego