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Search results for: FRICTIONAL OSCILLATION
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Missing Puzzle Pieces in Dementia Research: HCN Channels and Theta Oscillations
PublicationIncreasing evidence indicates a role of hyperpolarization activated cation (HCN) channels in controlling the resting membrane potential, pacemaker activity, memory formation, sleep, and arousal. Their disfunction may be associated with the development of epilepsy and age-related memory decline. Neuronal hyperexcitability involved in epileptogenesis and EEG desynchronization occur in the course of dementia in human Alzheimer’s Disease...
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Cognitive neuroscience: Theta network oscillations coordinate development of episodic memory
PublicationOur ability to remember life events matures through childhood and adolescence. A new study has revealed how theta oscillations between two anatomical brain regions supporting memory and executive functions are synchronized and develop across age through functional and structural connectivity.
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Prevention of resonance oscillations in gear mechanisms using non-circular gears
PublicationOne of the main disadvantages of gear mechanisms is the occurrence of noise and vibrations. This study investigated the applicability of non-circular gears for preventing resonance oscillations in gear mechanisms. The influence of a small deviation of the gear centrodes from the nominal circles on kinematic and oscillatory characteristics was analysed. It was shown that a larger deviation results in a smaller resonance amplitude...
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Application of the dynamic electrochemical impedance spectroscopy to investigation of spontaneous electrochemical oscillations
PublicationPrzedstawione zostały wyniki impedancyjne uzyskane podczas oscylacji prądowych miedzi w kwaśnym środowisku zawierającym jony chlorkowe. Kształt chwilowych widm impedancyjnych jest skorelowany z uzyskanym przebiegiem prądowym. Badany proces anodowego roztwarzania miedzi kontrolowany jest na przemian aktywacyjnie i dyfuzyjnie.
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Efficient quadrature for fast oscillating integralof paraxial optics
PublicationThe study concerns the determination of quadrature for the integral solutionof the paraxial wave equation. The difficulty in computation of the integral isassociated with the rapid change of the integrand phase. The developed quadraturetakes into account the fast oscillating character of the integrand. The presentedmethod is an alternative to the commonly used methods based on the use of theFourier transform. The determination...
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Time fractional analysis of Casson fluid with application of novel hybrid fractional derivative operator
PublicationA new approach is used to investigate the analytical solutions of the mathematical fractional Casson fluid model that is described by the Constant Proportional Caputo fractional operator having non-local and singular kernel near an infinitely vertical plate. The phenomenon has been expressed in terms of partial differential equations, and the governing equations were then transformed in non-dimensional form. For the sake of generalized...
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High-quality Experiment Dedicated to microGravity Exploration, Heat Flow and Oscillation Measurement from Gdańsk
PublicationIn this paper we propose HEDGEHOG (High-quality Experiment Dedicated to microGravity Exploration, Heat flow and Oscillation measurement from Gdańsk) REXUS experiment to investigate vibrational and heat flow phenomena during the whole (ascent, microgravity phase, descent and recovery) flight of a sounding rocket. First, a proposed system of cantilever beams is discussed to study dynamic behaviour of dummy payload. Dimensioning has...
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A Note on Fractional Curl Operator
PublicationIn this letter, we demonstrate that the fractional curl operator, widely used in electromagnetics since 1998, is essentially a rotation operation of components of the complex Riemann–Silberstein vector representing the electromagnetic field. It occurs that after the wave decomposition into circular polarisations, the standard duality rotation with the angle depending on the fractional order is applied to the left-handed basis vector...
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A Nyquist filter of fractional delay
PublicationIn the paper a novel discrete-time FIR fractonal delay specjal filter is investigated. This is a Nyquist filter which, besides the traditional its attribute (interymbol interference (ISI) free property), has the ability to compensate for subsample transmission delay involved, for example, in multipath propagation channel. The performance of the filter is analysed and illustrated.
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Fractional problems with advanced arguments
PublicationThis paper concerns boundary fractional differential problems with advanced arguments. We investigate the existence of initial value problems when the initial point is given at the end point of an interval. Nonhomogeneous linear fractional differential equations are also studied. The existence of solutions for fractional differential equations with advanced arguments and with boundary value problems has been investigated by using...
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Contribution to the mechanism of liquid membrane oscillators involving cationic surfactant.
PublicationIt is shown that liquid membrane oscillators with cationic surfactants havemore complex oscillation patterns than observed previously. The actual details of the oscillations depend strongly on the nature of the membrane material, dislosing even the presence of parallel molecular events. It appearsthat sampling topology also has a great influence on the observed oscillato-ry behaviour. Variation of oscillation patterns with...
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A recursive multi-output dicrete-time sinusoidal oscillator
PublicationZaproponowano wielo-wyjściowy cyfrowy oscylator sinusoidalny. Przedstawiono performancję tego oscylatora. Oscylator generuje sinusoidy: o zadanych fazach początkowych i o jednostkowej amplitudzie, przy użyciu algorytmów rekursywnych. Wprowadzona tu macierz rotacji zespolonego oscylatora unifikuje różne struktury zespolonych oscylatorów i pozwala na wprowadzenie nowych struktur trójfazowych, cztero-fazowych i ogólnie wielo-fazowych...
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Impact of slow breathing on the blood pressure and subarachnoid space width oscillations in humans
PublicationThe aim of the study was to assess cardiac and respiratory blood pressure (BP) and subarachnoid space (SAS) width oscillations during the resting state for slow and fast breathing and breathing against inspiratory resistance. Experiments were performed on a group of 20 healthy volunteers (8 males and 12 females; age 25.3 ± 7.9 years; BMI = 22.1 ± 3.2 kg/m2). BP and heart rate (HR) were measured using continuous finger-pulse photoplethysmography....
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Network oscillations modulate interictal epileptiform spike rate during human memory
PublicationEleven patients being evaluated with intracranial electroencephalography for medically resistant temporal lobe epilepsy participated in a visual recognition memory task. Interictal epileptiform spikes were manually marked and their rate of occurrence compared between baseline and three 2 s periods spanning a 6 s viewing period. During successful, but not unsuccessful, encoding of the images there was a significant reduction in...
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Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom
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Central Vagotonic Effects of Atropine Modulate Spectral Oscillations of Sympathetic Nerve Activity
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On Applications of Fractional Derivatives in Circuit Theory
PublicationIn this paper, concepts of fractional-order (FO) derivatives are discussed from the point of view of applications in the circuit theory. The properties of FO derivatives required for the circuit-level modelling are formulated. Potential problems related to the generalization of transmission line equations with the use of FO derivatives are presented. It is demonstrated that some of formulations of the FO derivatives have limited...
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On Applications of Fractional Derivatives in Electromagnetic Theory
PublicationIn this paper, concepts of fractional-order (FO) derivatives are analysed from the point of view of applications in the electromagnetic theory. The mathematical problems related to the FO generalization of Maxwell's equations are investigated. The most popular formulations of the fractional derivatives, i.e., Riemann-Liouville, Caputo, Grünwald-Letnikov and Marchaud definitions, are considered. Properties of these derivatives are...
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Fractional differential equations with deviating arguments
PublicationDla równań różniczkowych typu ułamkowego, zostały podane warunki dostateczne na istnienie jednego rozwiązania lub rozwiazań ekstremalnych. Nierówności różniczkowe są też doskutowane.
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Some applications of fractional order calculus
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Fractional Order Models of Dynamic Systems
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Optimal Control for Discrete Fractional Systems
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Fractional Order Dynamic Positioning Controller
PublicationImproving the performance of Dynamic Positioning System in such applications as station keeping, position mooring and slow speed references tracking requires improving the position and heading control precision. These goals can be achieved through the improvement of the ship control system. Fractional-order calculus is a very useful tool which extends classical, integer-order calculus and is used in contemporary modeling and control...
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Boundary problems for fractional differential equations
PublicationIn this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.
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Systems of Nonlinear Fractional Differential Equations
PublicationUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.
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Fractional differential equations with causal operators
PublicationWe study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.
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Coupling between Blood Pressure and Subarachnoid Space Width Oscillations during Slow Breathing
PublicationThe precise mechanisms connecting the cardiovascular system and the cerebrospinal fluid (CSF) are not well understood in detail. This paper investigates the couplings between the cardiac and respiratory components, as extracted from blood pressure (BP) signals and oscillations of the subarachnoid space width (SAS), collected during slow ventilation and ventilation against inspiration resistance. The experiment was performed on...
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Ripple oscillations in the left temporal neocortex are associated with impaired verbal episodic memory encoding
PublicationBACKGROUND: We sought to determine if ripple oscillations (80-120 Hz), detected in intracranial electroencephalogram (iEEG) recordings of patients with epilepsy, correlate with an enhancement or disruption of verbal episodic memory encoding. METHODS: We defined ripple and spike events in depth iEEG recordings during list learning in 107 patients with focal epilepsy. We used logistic regression models (LRMs) to investigate the...
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On the mechanism of oscillations in three-phase system containing coationc surfactant and nitrobenzene liquid membrane
PublicationObserwuje się oscylacje różnicy potencjału elektochemicznego między fazami wodnymi oscylatora zawierającego bromek heksadecylotrimetyloamoniowy. Ta różnica potencjału składa sie z potencjałów na granicach faz między membraną a fazą wodną donorową oraz membraną a fazą wodną akceptorową. Wykazano, że oscylacje zachodzą na granicy fazy akceptorowej i membrany. Są one spowodowane procesami adsorpcji/desorpcji pary jonowej surfaktantu...
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Wavelet transform analysis to assess oscillations in pial artery pulsation at the human cardiac frequency
PublicationPial artery adjustments to changes in blood pressure (BP)may last only seconds in humans. Using a novelmethod called near-infrared transillumination backscattering sounding (NIR-T/BSS) that allows for the non-invasive measurement of pial artery pulsation (cc-TQ) in humans, we aimed to assess the relationship between spontaneous oscillations in BP and cc-TQ at frequencies between 0.5 Hz and 5 Hz. We hypothesized that analysis of...
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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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Mechanism of nitromethane liquid membrane oscillator containing sodium oleate
PublicationBadano osylacyjne zachowanie oscylatora z anionowym surfaktantem na poziomie molekularnym. Zastosowano przybliżenie oparte na zasadach kinektyki chemicznej. Membranę ciekłą stanowił nitrometan z 2,2' bipirydyną. Faza wodna domowa zawierała oleinian sodu i butanol, a faza wodna akceptora chlorek sodu. Ustalono, że oscylacje zachodzą na granicy fazy akceptorowej i membrany ciekłej. Zaproponowano 3-etapowy mechanizm oscylacji i potwierdzono...
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Functional differential equations
PublicationSformułowano dość ogólne warunki dostateczne na to, aby odpowiednio zdefiniowane ciągi monotoniczne były zbieżne do jedynego, w pewnym segmencie, rozwiązania zagadnienia początkowego dla funkcyjnych równań różniczkowych. Omawiane równanie jest ogólne, a np. zwyczajne równania różniczkowe czy równania różniczkowo-całkowe są jego szczególnymi przypadkami.
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Fractional Calculus and Applied Analysis
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Progress in Fractional Differentiation and Applications
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COMPARATIVE AND FUNCTIONAL GENOMICS
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Briefings in Functional Genomics
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Annals of Functional Analysis
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GEOMETRIC AND FUNCTIONAL ANALYSIS
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JOURNAL OF FUNCTIONAL PROGRAMMING
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Functional Composites and Structures
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JOURNAL OF FUNCTIONAL ANALYSIS
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STEREOTACTIC AND FUNCTIONAL NEUROSURGERY
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Fractal and Fractional
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Mild poikilocapnic hypoxia increases very low frequency haemoglobin oxygenation oscillations in prefrontal cortex
PublicationBackground: The aim of the study was to investigate the effect of mild cerebral hypoxia on haemoglobin oxygenation(HbO2), cerebrospinal fluid dynamics and cardiovascular physiology. To achieve this goal, four signals were recorded simultaneously: blood pressure, heart rate / electrocardiogram, HbO2 from right hemisphere and changes of subarachnoid space (SAS) width from left hemisphere. Signals were registered from 30 healthy,...
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Mechanism of a Four-Phase Liquid Membrane Oscillator Containing Hexadecyltrimethylammonium Bromide
PublicationBadano zachowanie nitrometanowego oscylatora z membraną ciekłą zawierającego kationowy surfaktant. Początkowo układ składał się z trzech faz: wodnej donorowej zawierającej surfaktant i etanol, membrany ciekłej (kwas pikrynowy w nitrometanie) oraz fazy wodnej akceptorowej zawierającej sacharozę. Podczas procesu oscylacyjnego wytwarzała się nowa fazą X między membraną ciekłą, a fazą akceptorową. Stwierdzono oscylacje różnicy potencjału...
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Method and system for disciplining a local reference oscillator by GPS 1PPS signal
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Fractional Derivatives Application to Image Fusion Problems
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AN ATTEMPT AT IDENTIFYING THE INFLUENCE OF TEST HEAD ASSEMBLY STIFFNESS ON THE RESULTS OF A TRIBOLOGICAL EXPERIMENT CONDUCTED UNDER MICRO-OSCILLATION CONDITIONS
PublicationThe outcome of experimental research on a group of dry bearing materials carried out under small oscillation conditi ons and using a test rig designed and made at Gdansk University of Technology inspired the decision to find out if the stiffness of test head elements in fluenced the generated results. Therefore, a computer model utilising finite elements was devised and used to simulate the workings of the test head. The mode l...
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Parabolic Equations with Functional Dependence
PublicationWe consider the Cauchy problem for nonlinear parabolic equations with functional dependence and prove theorems on the existence of solutions to parabolic differential-functional equations.