Informacje szczegółowe
- Akronim projektu:
- SpaceTop
- Program finansujący:
- SHENG konkurs na polsko-chińskie projekty badawcze
- Instytucja:
- Narodowe Centrum Nauki (NCN) (National Science Centre)
- Porozumienie:
- UMO-2018/30/Q/ST1/00228 z dnia 2019-07-26
- Okres realizacji:
- 2019-07-26 - 2024-07-25
- Kierownik zespołu badawczego:
- prof. dr hab. Grzegorz Graff
- Realizowany w:
- Katedra Równań Różniczkowych i Zastosowań Matematyki
- Instytucje zewnętrzne
biorące udział w projekcie: -
- Academy of Mathematics and Systems Science, Chinese Academy of Sciences. (Chiny)
- Wartość projektu:
- 1 215 893.06 PLN
- Typ zgłoszenia:
- Międzynarodowy Program Badawczy
- Pochodzenie:
- Projekt zagraniczny/międzynarodowy
- Weryfikacja:
- Politechnika Gdańska
Publikacje powiązane z tym projektem
Filtry
wszystkich: 4
Katalog Projektów
Rok 2022
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Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere
PublikacjaA class of dissipative orientation preserving homeomorphisms of the infinite annulus,pairs of pants, or generally any infinite surface homeomorphic to a punctured sphere isconsidered. We prove that in some isotopy classes the local behavior of such homeomor-phisms at a fixed point, namely the existence of so-called inverse saddle, impacts thetopology of the attractor — it cannot be arcwise connected
Rok 2021
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Dold sequences, periodic points, and dynamics
PublikacjaIn this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
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Persistent homology as a new method of the assessment of heart rate variability
PublikacjaHeart rate variability (hrv) is a physiological phenomenon of the variation in the length of the time interval between consecutive heartbeats. In many cases it could be an indicator of the development of pathological states. The classical approach to the analysis of hrv includes time domain methods and frequency domain methods. However, attempts are still being made to define new and more effective hrv assessment tools. Persistent...
Rok 2020
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Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublikacjaLet $r$ be an odd natural number, $M$ a compact simply-connected smooth manifold, $\dim M\geq 4$, such that its boundary $\partial M$ is also simply-connected. We consider $f$, a $C^1$ self-maps of $M$, preserving $\partial M$. In [G. Graff and J. Jezierski, Geom. Dedicata 187 (2017), 241-258] the smooth Nielsen type periodic number $D_r(f;M,\partial M)$ was defined and proved to be equal to the minimal number of $r$-periodic points...
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