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Author

Piotr Bartłomiejczyk

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2 papers indexed here

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Oct 2026

Numerical Transitivity and Numerical LEO for Lorenz Maps with Applications to Courbage–Nekorkin–Vdovin Neuron Model

This research investigates the dynamic behavior of one-dimensional systems using two computational criteria: the numerical transitivity and the numerical Locally Eventually Onto (LEO) tests. Both algorithms are systematically applied to a variety of interval maps, including classical examples such as [Formula: see text...

Rudrakshala Kavya Sri, Piotr Bartłomiejczyk, S. Muni · 0 citations
Preprint Sep 2026

Subthreshold oscillations and spiking in hybrid neuron models with a dynamic threshold

We investigate a class of two-dimensional hybrid non-autonomous periodically forced neuron models known as the Meng-Huguet-Rinzel neuron model, with a dynamic threshold and reset mechanism. We focus on the interplay between the continuous subthreshold dynamics and discrete spike-induced resets. The model consists of a...

Piotr Bartłomiejczyk, J. Belmonte-Beitia, Justyna Signerska-Rynkowska · 0 citations

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