@misc{Bartłomiejczyk_Piotr_Spike, author={Bartłomiejczyk, Piotr and Llovera Trujillo, Frank and Signerska-Rynkowska, Justyna}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, 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.}, type={artykuł}, title={Spike patterns and chaos in a map-based neuron model}, keywords={neuronal dynamics, ß-transformations, Farey-Lorenz permutations, periodic spiking, chaos}, }