Search results for: One-Dimensional Dynamics
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Quantitative hyperbolicity estimates in one-dimensional dynamics
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Bistability in a One-Dimensional Model of a TwoPredators-One-Prey Population Dynamics System
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Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System
PublicationIn this paper, we study a classical two-predators-one-prey model. The classical model described by a system of three ordinary differential equations can be reduced to a one-dimensional bimodalmap. We prove that this map has at most two stable periodic orbits. Besides, we describe the bifurcation structure of the map. Finally, we describe a mechanism that leads to bistable regimes. Taking this mechanism into account, one can easily...
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Three-dimensional Weyl topology in one-dimensional photonic structures
PublicationTopological features, in particular distinct band intersections known as nodal rings, usually requiring three-dimensional structures, have now been demonstrated experimentally in an elegantly simple one-dimensional photonic crystal.
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Quantum correlations in one-dimensional Wigner molecules
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One-Dimensional Modeling of Flows in Open Channels
PublicationIn this chapter, modeling of the unsteady open channel flow using one-dimensional approach is considered. As this question belongs to the well-known and standard problems of open channel hydraulic engineering, comprehensively presented and described in many books and publications, our attention is focused on some selected aspects only. As far as the numerical solution of the governing equations is considered, one can find out that...
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Two-Boson Correlations in Various One-Dimensional Traps
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Informational entropy in simulation of one-dimensional random fields
PublicationEntropia ciągłego rozkładu prawdopodobieństwa jest zdefiniowana jako funkcja liczby węzłów skalarnego pola losowego. W przykładzie numerycznym przedstawiono propagacje entropii w zagadnieniu reakcji sprężystego wspornika przy losowym obciążeniu.
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One-dimensional chaos in a system with dry friction: analytical approach
PublicationWe introduce a new analytical method, which allows to find chaotic regimes in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding mathematical model is being studied. We show that the considered dynamical system is a skew product over a piecewise smooth mapping of a segment (the so-called base map). For this base map we demonstrate existence of...
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PROPERTIES OF ONE DIMENSIONAL OPEN-CHANNEL STEADY FLOW EQUATIONS
PublicationIn this paper properties of discrete forms of one dimensional steady gradually varied flow equations are discussed. Such forms of flow equations are obtained as a result of approximation of their differential forms, which is required to solve them numerically. For such purpose explicit or implicit numerical approximation schemes for ordinary differential equations can be applied. It turns out that dependently on the chosen approximation...
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Review and comparison of smoothing algorithms for one-dimensional data noise reduction
PublicationThe paper considers the choice of parameters of smoothing algorithms for data denoising. The impact of the window size on smoothing accuracy was analyzed. The parameters of denoising filters were selected with respect to the meansquare error between the computed linear regression and the noisy signal. Finally, we have compared mean, median, SavitzkyGolay, Kalman and Gaussian filter algorithms for the data from the digital sensor....
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Low-dimensional bound entanglement with one-way distillable cryptographic key
PublicationIn this paper, we provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 circle times 4, which shows that peculiar security contained in bound entangled states does not need high-dimensional systems. We show that for these states a positive key rate can be obtained by one-way Devetak-Winter (DW) protocol. Subsequently, the volume of bound entangled key-distillable...
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Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
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Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap
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Spinon excitations in the quasi-one-dimensional S=12 chain compound Cs4CuSb2Cl12
PublicationThe spin−1/2 Heisenberg antiferromagnetic chain is ideal for realizing one of the simplest gapless quantum spin liquids (QSLs), supporting a many-body ground state whose elementary excitations are fractional fermionic excitations called spinons. Here we report the discovery of such a one-dimensional (1D) QSL in Cs4CuSb2Cl12. Compared to previously reported S=1/2 1D chains, this material possesses a wider temperature range over...
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Comparison of conductivity averaging methods for one-dimensional unsaturated flow in layered soils
PublicationW artykule przedstawiono numeryczne rozwiązania równania Richardsa, opisującego nieustalony przepływ wody w uwarstwionym gruncie nienasyconym. Przeanalizowano różne metody obliczania średniej przewodności hydraulicznej między węzłami siatki numerycznej oraz różne możliwości położenia węzłów względem granic warstw gruntu. Najlepsze wyniki otrzymano stosując metodę uśredniania stanowiącą adaptację wcześniejszej propozycji jednego...
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Approximation of internodal conductivities in numericalsimulation of one-dimensional infiltration, drainage, and capillaryrise in unsaturated soils
PublicationW rozwiązaniu numerycznym jednowymiarowego równania przepływu nienasyconego wymagane jest oszacowanie średniej wartości przewodności hydraulicznej między sąsiednimi węzłami. W artykule zaproponowano nową metodę uśredniania która, w odróżnieniu od metod dotychczas proponowanych, charakteryzuje się dużą dokładnością i szerokim zakresem stosowalności. Nowa metoda oparta jest na analizie przybliżonego profilu potencjału hydraulicznego...
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Chiral analysis of chloro intermediates of methylamphetamine by one-dimensional and multidementional NMR and GC/MS
PublicationImpurity profiling and classification of abused drugs using chiral analytical techniques is of particular interest and importance because of the additional information obtained fromthis approach. When these methods are applied to the synthesis of illicitly used substances, they can supply valuable information about the conditions/chemicals used in the synthesis. We have applied GC and NMR methods to the study of intermediates found...
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Modelling of FloodWave Propagation with Wet-dry Front by One-dimensional Diffusive Wave Equation
PublicationA full dynamic model in the form of the shallow water equations (SWE) is often useful for reproducing the unsteady flow in open channels, as well as over a floodplain. However, most of the numerical algorithms applied to the solution of the SWE fail when flood wave propagation over an initially dry area is simulated. The main problems are related to the very small or negative values of water depths occurring in the vicinity of...
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Molecular dynamics and verisimilitude - to what extent can one trust a computational simulation?
PublicationFor the last several tens of years, computer simulations have become of undeniable importance. Molecular Dynamics (MD) simulation techniques are used to examine the phenomena which occur at the level that cannot be observed directly. Thus, they can be successfully exploited in many different scientific fields such as: materials science, applied mathematics and theoretical physics, biochemistry, biophysics or drug design. Despite...