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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, and highlights the practical potential of these numerical approaches as diagnostic tools for studying complex dynamical systems a...

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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