Informacje szczegółowe
- Program finansujący:
- OPUS
- Instytucja:
- Narodowe Centrum Nauki (NCN) (National Science Centre)
- Porozumienie:
- UMO-2021/41/B/ST1/00405 z dnia 2021-11-26
- Okres realizacji:
- 2021-11-26 - 2025-10-12
- Kierownik projektu:
- dr hab. Paweł Pilarczyk
- Realizowany w:
- Katedra Równań Różniczkowych i Zastosowań Matematyki
- Wartość projektu:
- 376 370.00 PLN
- Typ zgłoszenia:
- Krajowy Program Badawczy
- Pochodzenie:
- Projekt krajowy
- Weryfikacja:
- Politechnika Gdańska
Publikacje powiązane z tym projektem
Filtry
wszystkich: 3
Katalog Projektów
Rok 2024
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An absorbing set for the Chialvo map
PublikacjaThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...
Rok 2023
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Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate-blood pressure coupling quantified by entropy-based indices
PublikacjaWe introduce an entropy-based classification method for pairs of sequences (ECPS) for quantifying mutual dependencies in heart rate and beat-to-beat blood pressure recordings. The purpose of the method is to build a classifier for data in which each item consists of two intertwined data series taken for each subject. The method is based on ordinal patterns and uses entropy-like indices. Machine learning is used to select a subset...
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Topological-numerical analysis of a two-dimensional discrete neuron model
PublikacjaWe conduct computer-assisted analysis of a two-dimensional model of a neuron introduced by Chialvo in 1995 [Chaos, Solitons Fractals 5, 461–479]. We apply the method of rigorous analysis of global dynamics based on a set-oriented topological approach, introduced by Arai et al. in 2009 [SIAM J. Appl. Dyn. Syst. 8, 757–789] and improved and expanded afterward. Additionally, we introduce a new algorithm to analyze the return times...
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