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The final answer to the complexity of a basic problem in resilient network design
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Partial hyperbolicity and central shadowing
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International Network Optimization Conference, Warsaw, Poland 2015
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Fixed point indices of iterations of C^1 maps in R^3
PublicationW przypadku gładkiego odwzorowania w R^3 dowiedziona została hipoteza Chowa, Malleta-Pareta i Yorka dotycząca postaci ciągów indeksow iteracji oraz podano kompletny opis możliwych ciągów indeksow.
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Shadowing is generic---a continuous map case
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Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds
PublicationLet M be a smooth closed simply-connected 4-dimensional manifold, f be a smooth self-map of M with fast grow of Lefschetz numbers and r be a product of different primes. The authors calculate the invariant equal to the minimal number of r-periodic points in the smooth homotopy class of f.
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From Pathwidth to Connected Pathwidth
PublicationW pracy przedstawiono dowód faktu, że spójna szerokość ścieżkowa grafu wynosi co najwyżek 2k+1, gdzie k jest jego szerokością ścieżkową. Dowód jest konstruktywny, tzn., został skonstruowany algorytm, który dla podanej na wejściu dekompozycji grafu o szerekości k zwraca dekompozycję spóją o szerekości co najwyżej 2k+1.
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Equitable coloring of corona products of graphs
PublicationIn this paper we consider an equitable coloring of some corona products of graphs G and H in symbols, G o H). In particular, we show that deciding the colorability of G o H is NP-complete even if G is 4-regular and H is K_2. Next, we prove exact values or upper bounds on the equitable chromatic number of G o H, where G is an equitably 3- or 4-colorable graph and H is an r-partite graph, a path, a cycle or a complete graph.
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Positive solutions to advanced fractional differential equations with nonlocal boundary conditions
PublicationWe study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. The fixed point theorem due to Avery-Peterson is used to obtain sufficient conditions for the existence of multiple positive solutions. Certain of our results improve on recent work in the literature.
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Periodic points of latitudinal maps of the $m$-dimensional sphere
PublicationLet f be a smooth self-map of the m-dimensional sphere Sm. Under the assumption that f preserves latitudinal foliations with the fibres S1, we estimate from below the number of fixed points of the iterates of f. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.
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Firing map of an almost periodic input function
PublicationIn mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this map authors of previous papers assumed that the stimulus function f of the system ẋ = f(t,x) is continuous and usually periodic in the time variable. In this work we show that the required properties of the firing map for the simplified model ẋ = f(t) still...
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Partial hyperbolicity and central shadowing
PublicationWe study shadowing property for a partially hyperbolic diffeomor- phism f. It is proved that if f is dynamically coherent then any pseudotrajec- tory can be shadowed by a pseudotrajectory with “jumps” along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
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On-line ranking of split graphs
PublicationA vertex ranking of a graph G is an assignment of positive integers (colors) to the vertices of G such that each path connecting two vertices of the same color contains a vertex of a higher color. Our main goal is to find a vertex ranking using as few colors as possible. Considering on-line algorithms for vertex ranking of split graphs, we prove that the worst case ratio of the number of colors used by any on-line ranking algorithm...
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The Arnold conjecture in $ \mathbb C\mathbb P^n $ and the Conley index
Publicationn this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in CP^n asserting that a Hamiltonian diffeomorphism of CP^n endowed with the Fubini-Study metric has at least (n+1) fixed points.
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Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos
PublicationIn a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and adaptation of neurons. This first paper presents mathematical analysis showing that the system can support bursts of any period as a function of model parameters, and that these are organized in a period-incrementing structure. In continuous dynamical...
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Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations
PublicationThis work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a form of mixed-mode oscillations (MMOs), which are trajectories featuring an alternation of small oscillations with spikes or bursts (multiple consecutive spikes). The mechanism by...
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Subharmonic solutions for a class of Lagrangian systems
PublicationWe prove that second order Hamiltonian systems with a potential of class C1, periodic in time and superquadratic at infinity with respect to the space variable have subharmonic solutions. Our intention is to generalise a result on subharmonics for Hamiltonian systems with a potential satisfying the global Ambrosetti-Rabinowitz condition from [P. H. Rabinowitz, Proc. Roy. Soc. Edinburgh Sect. A, 114 (1990), 33-38]. Indeed, we weaken...
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Detecting coupling directions with transcript mutual information: A comparative study
PublicationCausal relationships are important to understand the dynamics of coupled processes and, moreover, to influence or control the effects by acting on the causes. Among the different approaches to determine cause-effect relationships and, in particular, coupling directions in interacting random or deterministic processes, we focus in this paper on information-theoretic measures. So, we study in the theoretical part the difference between...
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Dynamic inequalities and equations of Volterra type on time scales
PublicationPraca dotyczy całkowo-różniczkowych równań dynamicznych typu Volterry z warunkami początkowymi. Stosując twierdzenie Banacha o punkcie stałym pokazano istnienie jedynego rozwiązania liniowego równania dynamicznego. Stosując metodę iteracji monotonicznych pokazano istnienie rozwiązań ekstremalnych dla problemów nieliniowych. Badano też nierówności dynamiczne. Praca zawiera również uwagi dotyczące zagadnień różniczkowych i różnicowych.
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Boundary value problems for dynamic equations of Volterra type on time scales
PublicationPraca dotyczy równań i nierówności dla problemów dynamicznych typu Volterry. Podano warunki dostateczne na istnienie ekstremalnych rozwiązań w obszarze ograniczonym przez dolne i górne rozwiązania. Praca zawiera również pewne uwagi dla konkretnych zagadnień różniczkowych i dyskretnych.
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On integro-differential equations with delayed arguments
PublicationPraca dotyczy problemów różniczkowo-całkowych z warunkami początkowymi oraz brzegowymi typu okresowego. Podano warunki na istnienie i jednoznaczność rozwiązania. Badania dotyczyły również nierówności różniczkowo-całkowych z argumentami typu opóżnionego. Podano przykłady, które mogą mieć zastosowanie w problemach inżynierskich.
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Positive solutions to boundary value problems for impulsive second-order differential equations
PublicationIn this paper, we discuss four-point boundary value problems for impulsive second-order differential equations. We apply the Krasnoselskii's fixed point theorem to obtain sufficient conditions under which the impulsive second-order differential equations have positive solutions. An example is added to illustrate theoretical results.
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Positive solutions to second order four-point impulsive problems with deviating arguments
PublicationStosując tw. Leggetta-Williamsa, podano warunki dostateczne na istnienie dodatnich rozwiązań dla czteropunktowych problemów brzegowych dla równań różniczkowych rzędu drugiego z odchylonymi argumentami. Dyskutowane były problemy gdy argument odchylony był typu opóźnionego lub wyprzedzonego.
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Beata Krawczyk-Bryłka dr
PeoplePsycholog, doktor nauk humanistycznych w dziedzinie zarządzania, adiunkt w Katedrze przedsiębiorczości. 2018 - 2021: Kierownik projektu NCN: „Efektuacyjny model zespołu przedsiębiorczego. Jak działają przedsiębiorcze zespoły odnoszące sukces" od 2016: Quality Standards Lead filaru People management & personal development na studiach MBA Politechniki Gdańskiej 2008 – 2012: Prodziekan ds kształcenia Wzydziału Zarządzania i Ekonomii...
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Airborne wear particle emission from train brake friction materials with different contents of steel and copper fibres
PublicationThis study investigated the influence of the amount of steel and copper fibres in a train brake friction material on the tribological performance, emission intensity and characteristics of airborne wear particles. The particles were generated on a pin-on-disc tribometer under controlled friction and environmental conditions. It was found that the steel fibre results in a more intensive emission of 0.3–10 μm particles compared to...
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A spice equivalent circuit for modeling the performance of dual frequency echo-sounder
PublicationThe paper presents novel network equivalent circuit of piezoceramic circular disc transducers that takes into account thickness and radial mode of vibrations. The starting point of the analysis is 4-port description of circular disc element representing the solution of wave equation set in radial and thickness directions. The approximate solution for harmonic case is represented in the form of 4x4 matrix, which is synthesised and...
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A LUMPED-CIRCUIT MODEL OF CIRCULAR PISTON TRANSDUCER FOR MODELING ITS PERFORMANCE IN DUAL FREQUENCY OPERATING MODES
PublicationThe paper presents novel network equivalent circuit of piezoceramic circular disc transducer that takes into account thickness and ra dial mode of vibrations. The starting point of the analysis is 4-port description of circular disc element representing the solution of wave equation set in radial and thickness directions. Th e approximate solution for harmonic case is represented in the form of 4x4 matrix, which is syn thesized...
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Correlations between the wear of car brake friction materials and airborne wear particle emissions
PublicationAirborne wear particles emitted from transport vehicle brakes are one of the main sources of toxic metals in inhalable particulate matter. Prediction of wear particle emissions may become more accurate if the relationship between the wear and particle emission characteristics is known. An experimental study was performed to investigate proportional correlations between the mass wear, 0.01–0.42 μm particle emission measured by a NanoScan...
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Functionalization of indium-tin-oxide electrodes by laser-nanostructured gold thin films for biosensing applications
Publicationof a relatively large area formed by pulsed laser nanostructuring of thin gold films arereported and discussed. The SEM inspection of modified electrodes reveals the presence of the nearlyspherical and disc-shaped particles of dimensions in the range of 40–120 nm. The NP-array geometry canbe controlled by selection of the laser processing conditions. It is shown that particle size and packingdensity of the array are important factors...
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A concept for reducing PM 10 emissions for car brakes by 50%
PublicationWith regard to airborne particles with an aerodynamic diameter of less than 10 μm (PM10), in countries in the European Union, the mass of brake emissions equals approximately 8–27% of the total traffic-related emissions. Using a research methodology combining tests at different scale levels with contact mechanics simulations and PM10 chemical characterization, the REBRAKE EU-financed project had the following aims: i) to demonstrate...
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Comparison of properties of the new electro-mechanical model and circumferential model of the inductive-dynamic drive
PublicationThe article presents a new electromechanical model of inductive-dynamic drive. The model is implemented in two environments: Maxwell for analyzing electrodynamic phenomena including moving of the disc and Ansys which allows for stress analysis on the basis of the volume forces imported from Maxwell. Additionally, a model validation by comparing with the existing circumferential model was carried out.
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Suitability study of hybrid model of electrodynamic actuator
PublicationThis paper presents the proposal of the hybrid circuit-field model of an electrodynamic actuator. The field model uses the inductor current as the input data which is obtained from the circuit model or experimentally. The field model implemented using the FLUX program makes it possible to easily determine the pressure distribution acting on the disc. The results have been verified experimentally.
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Technological Problems in Lapping on Flat Surfaces of Ceramic Parts
PublicationThis paper will present the results of research on single-disc lapping of flat surfaces of small ceramic elements. Machining with the use of different tools such as metallic, two-metallic and abrasive-metallic will be analyzed. The basics and techniques of reinforcement of laps will be discussed. The results of the influence of parameters on the surface quality of ceramic conponents (sealing) for three treatments on lapping machines...
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Ball on disk test AL(rf.)-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 not treated (reference).
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Ball on disk test AL(rf.)-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 not treated (reference).
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Ball on disk test AT4_11-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT4_11).
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Ball on disk test AT3_21-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT3_21).
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Ball on disk test AW4_1-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 WC powder injected (AW4_1).
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Ball on disk test AT4_4-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT4_4).
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Ball on disk test AW4_11-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 WC powder injected (AW4_11).
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Ball on disk test AT4_1-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT4_1).
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Ball on disk test AT4_41-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT4_41).
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Ball on disk test AT3_2-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT3_2).
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Ball on disk test AW4_4-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 WC powder injected (AW4_4).
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Ball on disk test AW4_41-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 WC powder injected (AW4_41).
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Effective density of airborne wear particles from car brake materials
PublicationPeople living in urban environments are subject to high health risks due to various anthropogenic sources of airborne particulate matter, including wear of transport vehicle brakes. Studies of airborne particles often require an estimate of the effective particle density, a property that allows correct matching of mass and size characteristics measured by different aerosol instruments. In this study we investigated the effective...
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Influence of Flat Lapping Kinematics on Machinability of Ceramics
PublicationNew tools for flat grinding of ceramics are presented in the paper. Electroplated CBN tools (B64 and B107) were used in a modified single-disc lapping machine configuration. The results from experiments, such as the material removal rate and surface roughness parameters are presented and analyzed. Numerical simulations, based on the model for the shape error and tool wear estimation in machining with flat lapping kinematics, are...
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Fretting wear of materials - methodological aspects of research
PublicationW artykule przedstawiono metodyczne aspekty frettingowego zużywania materiałów. Rezultaty badań przeprowadzonych na stanowisku typu ''pin on disc'' wykonanym w Katedrze Inżynierii Materiałowej i Biomedycznej Politechniki Białostockiej potwierdziły decydujący wpływ amplitudy oscylacji i wartości obciążenia na przebieg i charakter procesu zużywania. Wzrost wartości amplitudy powodował zmiany w warunkach tarcia. Wzrost wartości obciążenia...
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Cavitation wearing of the SUPERSTON alloy after laser treatment at cryogenic conditions
PublicationThe purpose of this paper is to demonstrate the method of laser remelting at cryogenic conditions of the SUPERSTON alloy and its influence on microstructure and cavitation wearing. The cavitation test was performed using the rotating disc facility in IPM PAN Gdansk. During the cavitation test, the mass loss of the material with different parameters of laser remelting was determined. Surface and cross-section microstructure of the...
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Comparison of antimicrobial activity of selected, commercially available wound dressing materials
PublicationOBJECTIVE: The aim of our study was to examine the antimicrobial potential of eight selected, commercially available wound dressings containing different antimicrobial agents: silver, chlorhexidine acetate, povidone-iodine, and manuka honey. METHOD: The materials were tested against four reference strains of bacteria: Staphylococcus aureus (PCM 2051), Staphylococcus epidermidis (PCM 2118), Pseudomonas aeruginosa (ATCC 27853),...