Search Results - "Graff, Grzegorz"

Persistent homology as a new method of the assessment of heart rate variability by Graff, Grzegorz, Graff, Beata, Pilarczyk, Paweł, Jabłoński, Grzegorz, Gąsecki, Dariusz, Narkiewicz, Krzysztof

“…Heart rate variability (hrv) is a physiological phenomenon of the variation in the length of the time interval between consecutive heartbeats. In many cases it…”
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Relationship between heart rate variability, blood pressure and arterial wall properties during air and oxygen breathing in healthy subjects by Graff, Beata, Szyndler, Anna, Czechowicz, Krzysztof, Kucharska, Wiesława, Graff, Grzegorz, Boutouyrie, Pierre, Laurent, Stephane, Narkiewicz, Krzysztof

“…Abstract Previous studies reported that normobaric hyperoxia influences heart rate, arterial pressure, cardiac output and systemic vascular resistance, but the…”
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Entropy Measures in the Assessment of Heart Rate Variability in Patients with Cardiodepressive Vasovagal Syncope by Beata Graff, Grzegorz Graff, Danuta Makowiec, Agnieszka Kaczkowska, Dorota Wejer, Szymon Budrejko, Dariusz Kozłowski, Krzysztof Narkiewicz

“…Sample entropy (SampEn) was reported to be useful in the assessment of the complexity of heart rate dynamics. Permutation entropy (PermEn) is a new measure…”
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Algebraic periods of self-maps of a rational exterior space of rank 2 by Graff, Grzegorz

“…: The paper presents a complete description of the set of algebraic periods for self-maps of a rational exterior space which has rank 2…”
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On the growth of the number of periodic points for smooth self-maps of a compact manifold by Graff, Grzegorz, Jezierski, Jerzy

“…Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m\geq 3. We show that in the homotopy class of f there…”
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Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set by Graff, Grzegorz

“…Let f be an R n -diffeomorphism, where n = 2 , 3 , for which { 0 } is an isolated invariant set. We determine all possible forms of the sequences of fixed…”
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An absorbing set for the Chialvo map by Pilarczyk, Paweł, Graff, Grzegorz

“…The classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective…”
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Dold sequences, periodic points, and dynamics by Byszewski, Jakub, Graff, Grzegorz, Ward, Thomas

“…In 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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Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds by Graff, Grzegorz, Jezierski, Jerzy

“…Let M be a smooth compact and simply-connected manifold with simply-connected boundary ∂ M , r be a fixed odd natural number. We consider f , a C 1 self-map of…”
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Algebraic periods and minimal number of periodic points for smooth self-maps of $$\textbf{1}$$-connected $$\textbf{4}$$-manifolds with definite intersection forms by Duan, Haibao, Graff, Grzegorz, Jezierski, Jerzy, Myszkowski, Adrian

“…Let M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r -periodic points in…”
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Algebraic periods and minimal number of periodic points for smooth self-maps of 1-connected 4-manifolds with definite intersection forms by Duan, Haibao, Graff, Grzegorz, Jezierski, Jerzy, Myszkowski, Adrian

“…Let M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r -periodic points in…”
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Generalized Dold Sequences on Partially-Ordered Sets by Graff, Grzegorz, Gulgowski, Jacek, Lebiedź, Małgorzata

“…Dold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems…”
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Dynamics of Field Line Mappings in Magnetic Flux Tubes by Graff, Grzegorz, Signerska-Rynkowska, Justyna

“…We study the topological constraints on the dynamics of magnetic field lines in flux tubes. Our approach is based on the application of the topological…”
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Shub's conjecture for smooth longitudinal maps of S m by Graff, Grzegorz, Misiurewicz, Michał, Nowak-Przygodzki, Piotr

“…Let f be a smooth map of the m-dimensional sphere to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the…”
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Generating sequences of Lefschetz numbers of iterates by Graff, Grzegorz, Lebiedź, Małgorzata, Nowak-Przygodzki, Piotr

“…Du, Huang and Li showed in 2003 that the class of Dold–Fermat sequences coincides with the class of Newton sequences, which are defined in terms of so-called…”
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Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms by Graff, Grzegorz, Lebiedź, Małgorzata, Myszkowski, Adrian

“…We apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of…”
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Minimizing the number of periodic points for smooth maps. Non-simply connected case by Graff, Grzegorz, Jezierski, Jerzy

“…Let f be a smooth self-map of a closed manifold of dimension m ⩾ 3 , r be a fixed natural number. In this paper we introduce the topological invariant NJD r m…”
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Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds by Graff, Grzegorz, Jezierski, Jerzy

“…Let M be a closed smooth connected and simply connected manifold of dimension m at least 3, and let r be a fixed natural number. The topological invariant ,…”
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Periodic Points for Sphere Maps Preserving Monopole Foliations by Graff, Grzegorz, Misiurewicz, Michał, Nowak-Przygodzki, Piotr

“…Let S 2 be a two-dimensional sphere. We consider two types of its foliations with one singularity and maps f : S 2 → S 2 preserving these foliations, more and…”
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Shub’s conjecture for smooth longitudinal maps of by Graff, Grzegorz, Misiurewicz, Michał, Nowak-Przygodzki, Piotr

“…Let f be a smooth map of the m-dimensional sphere [Formula omitted.] to itself, preserving the longitudinal foliation. We estimate from below the number of…”
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