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wszystkich: 97
Wyniki wyszukiwania dla: SINGULAR POTENTIAL
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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
PublikacjaWe consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.
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Homoclinics for singular strong force Lagrangian systems
PublikacjaWe study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.
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Zero-range potentials for Dirac particles: Bound-state problems
PublikacjaA model in which a massive Dirac particle in $\mathbb{R}^{3}$ is bound by $N\geqslant1$ spatially distributed zero-range potentials is presented. Interactions between the particle and the potentials are modeled by subjecting a particle's bispinor wave function to certain limiting conditions at the potential centers. Each of these conditions is parametrized by a $2\times2$ Hermitian matrix (or, equivalently, a real scalar and a...
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Homoclinic orbits for an almost periodically forced singular Newtonian system in R^3
Publikacja. This work uses a variational approach to establish the existence of at least two homoclinic solutions for a family of singular Newtonian systems in R^3 which are subjected to almost periodic forcing in time variable
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A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE
PublikacjaThe aim of this paper is to study the dynamics of Dengue disease model using a novel piecewise derivative approach in the sense of singular and non-singular kernels. The singular kernel operator is in the sense of Caputo, whereas the non-singular kernel operator is the Atangana–Baleanu Caputo operator. The existence and uniqueness of a solution with piecewise derivative are examined for the aforementioned problem. The suggested...
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Two families of infinitely many homoclinics for singular strong force Hamiltonian systems
PublikacjaWe are concerned with a planar autonomous Hamiltonian system with a potential possessing a single well of infinite depth at a point X and a unique strict global maximum 0 at a point A. Under a strong force condition around the singularity X, via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many geometrically distinct homoclinic...
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Singular Surface Curves in the Resultant Thermodynamics of Shells
PublikacjaWithin six-parameter shells theory we discuss the governing equations of shells with material or non-material singular curves. By singular curve we mean a surface curve where are discontinuities in some surface fields. As an example we consider shells with junctions and shells undergoing stress-induced phase transitions.
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Generic invariant measures for iterated systems of interval homeomorphisms
PublikacjaIt is well known that iterated function systems generated by orientation preserving homeomorphisms of the unit interval with positive Lyapunov exponents at its ends admit a unique invariant measure on (0, 1) provided their action is minimal. With the additional requirement of continuous differentiability of maps on a fixed neighbourhood of {0,1} { 0 , 1 } , we present a metric in the space of such systems which renders it complete....
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Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems
PublikacjaThe study of existence and multiplicity of solutions of differential equations possessing a variational nature is a problem of great meaning since most of them derives from mechanics and physics. In particular, this relates to Hamiltonian systems including Newtonian ones. During the past thirty years there has been a great deal of progress in the use of variational methods to find periodic, homoclinic and heteroclinic solutions...
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Sewage sludge co-pyrolysis with agricultural/forest residues: A comparative life-cycle assessment
PublikacjaThis study aims to determine the sustainability and energy efficiency of co-pyrolysis scenarios as treatment processes for municipal sewage sludge through a life cycle assessment (LCA). In addition, sensitivity and energy recovery analyses are conducted to determine the possible methods for optimizing the co-pyrolysis process from a circular bioeconomy perspective. Corncob and wood residue have been selected as potential co-feed...
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Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells
PublikacjaWe formulate the exact, resultant equilibrium conditions for the non-linear theory of branching and self-intersecting shells. The conditions are derived by performing direct through-the-thickness integration in the global equilibrium conditions of continuum mechanics. At each regular internal and boundary point of the base surface our exact, local equilibrium equations and dynamic boundary conditions are equivalent, as expected,...
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Adiabatic potential energy curves of the singlet Pi and Delta gerade states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the singlet Pi and Delta gerade states have been calculated for the Lithium dimer. The results of the three excited states of the symmetries singlet Pi and Delta gerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Adiabatic potential energy curves of the triplet Sigma ungerade plus states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the triplet Sigma ungerade plus states have been calculated for the Lithium dimer. The results of the five excited states of the symmetry triplet Sigma ungerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Adiabatic potential energy curves of the triplet Pi gerade states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the triplet Pi gerade states have been calculated for the Lithium dimer. The results of the two excited states of the symmetry triplet Pi gerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction of valence electrons...
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Adiabatic potential energy curves of the singlet Sigma gerade plus states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the singlet Sigma gerade plus states have been calculated for the Lithium dimer. The results of the ground state and three excited states of the symmetry singlet Sigma gerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing...
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Adiabatic potential energy curves of the singlet Sigma ungerade plus states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the singlet Sigma ungerade plus states have been calculated for the Lithium dimer. The results of the three excited states of the symmetry singlet Sigma ungerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Adiabatic potential energy curves of the triplet Sigma gerade plus states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the triplet Sigma gerade plus states have been calculated for the Lithium dimer. The results of the three excited states of the symmetry triplet Sigma gerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Adiabatic potential energy curves of the triplet Pi and Delta ungerade states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the triplet Pi and Delta ungerade states have been calculated for the Lithium dimer. The results of the three excited states of the symmetries triplet Pi and Delta ungerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Adiabatic potential energy curves of the singlet Pi ungerade states of the Lithium dimer
Dane BadawczeAdiabatic potential energy curves of the singlet Pi ungerade states have been calculated for the Lithium dimer. The results of the two excited states of the symmetry singlet Pi ungerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction of valence electrons...
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Potential energy curves of the doublet Sigma gerade plus states of the Lithium dimer cation
Dane BadawczeAdiabatic potential energy curves of the doublet Sigma gerade plus (dSg+) states have been calculated for the Lithium dimer cation (Li2+). The results of the ground state and four excited states of the symmetry doublet Sigma gerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials...
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Potential energy curves of the doublet Sigma ungerade plus states of the Lithium dimer cation
Dane BadawczeAdiabatic potential energy curves of the doublet Sigma ungerade plus (dSu+) states have been calculated for the Lithium dimer cation (Li2+). The results of the five excited states of the symmetry doublet Sigma ungerade plus have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing...
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Potential energy curves of the doublet Pi and Delta gerade states of the Lithium dimer cation
Dane BadawczeAdiabatic potential energy curves of the doublet Pi and Delta gerade (dPg and dDg) states have been calculated for the Lithium dimer cation (Li2+). The results of the four excited states of the symmetries doublet Pi and Delta gerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials...
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Potential energy curves of the doublet Pi and Delta ungerade states of the Lithium dimer cation
Dane BadawczeAdiabatic potential energy curves of the doublet Pi and Delta ungerade (dPu and dDu) states have been calculated for the Lithium dimer cation (Li2+). The results of the four excited states of the symmetries doublet Pi and Delta ungerade have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials...
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On jump conditions at non-material singular curves in the resultant shell thermomechanics
PublikacjaThe global, refined, resultant, two-dimensional (2D) balance laws of mass, linear and angular momenta, and energy as well as the entropy inequality were formulated by Pietraszkiewicz (2011) as exact implications of corresponding laws of 3D rational thermomechanics. In case of a shell with the regular base surface and all resultant surface fields differentiable everywhere on it and at any time instant, the local laws of the resultant...
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Potential energy curves of LiCs dimer
Dane BadawczeThis data presents potential energy curves of LiCs dimer in Hund's case (a). Calculated using Born-Oppenheimer approximation with scalar relativistic effects are included via large effective core potentials. Custom basis sets, core polarization potentials and MRCI method are used to accurately describe electron correlation. Dataset consists of 22 potential...
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Born-Oppenheimer potential energy curves of the NaK molecule
Dane BadawczeAdiabatic potential energy curves (APEC) of the singlet (s) and triplet (t) Sigma+, Pi, and Delta electronic states have been calculated for the NaK molecule. All results of the presented molecular states have been obtained by the nonrelativistic multireference configuration interaction (MRCI) method used with pseudopotentials describing the interaction...
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Quasirelativistic potential energy curves of NaRb dimer
Dane BadawczeThis data presents potential energy curves of NaRb dimer, that include spin-orbit interaction, in Hund's case (c). Calculated using Born-Oppenheimer approximation with relativistic effects included via large spin-orbit effective core potentials. Custom basis sets, core polarization potentials and MRCI method are used to accurately describe electron...
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Adiabatic potential energy curves of the KRb molecule
Dane BadawczeAdiabatic potential energy curves (APEC) of the singlet (s) and triplet (t) Sigma+, Sigma-, Pi, and Delta electronic states have been calculated for the KRb molecule. Presented APECs correlate with 11 atomic asymptotes, starting from ground K(4s)+Rb(5s) atomic limit and ending on double-excited K(4p)+Rb(5p) atomic limit. All results of the presented...
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On exact two-dimensional kinematics for the branching shells
PublikacjaWe construct the two-dimensional (2D) kinematics which is work-conjugate to the exact 2D local equilibrium conditions of the non-linear theory of branching shells. It is shown that the compatible shell displacements consist of the translation vector and rotation tensor fields defined on the regular parts of the shell base surface as well as independently on the singular surface curve modelling the shell branching. Several characteristic...
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Singular curves in the resultant thermomechanics of shells
PublikacjaSome geometric and kinematic relations associated with the curve moving on the shell base surface are discussed. The extended surface transport relation and the extended surface divergence theorems are proposed for the piecewise smooth tensor fields acting on the regular and piecewise regular surfaces. The recently formulated resultant, two-dimensionally exact, thermodynamic shell relations - the balances of mass, linear and angular...
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Interaction of PDA monomers with Au
Dane BadawczeThis dataset contains supplementary information in the form of Electrostatic difference potential (EDP) map, density of states (DOS) spectra, and adsorption geometries of polydopamine PDA monomers on the Au surface. PDA was modelled either as the oxidised (indolequinone, IQ) and reduced (dihydroxyindole, DHI) chemistries.
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Complex Root Finding Algorithm Based on Delaunay Triangulation
PublikacjaA simple and flexible algorithm for finding zeros of a complex function is presented. An arbitrary-shaped search region can be considered and a very wide class of functions can be analyzed, including those containing singular points or even branch cuts. The proposed technique is based on sampling the function at nodes of a regular or a self-adaptive mesh and on the analysis of the function sign changes. As a result, a set of candidate points...
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Junctions In Shell Structures: A Review
PublikacjaMany shell structures used in modern technology consist of regular shell parts joined together along their common boundaries. We review different theoretical, numerical, and experimental approaches to modelling, analyses and design of the compound shell structures with junctions. Several alternative forms of boundary, continuity and jump conditions at the singular midsurface curves modelling the shell junction are reviewed. We...
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On the exact equilibrium conditions of irregular shells reinforced by beams along the junctions
PublikacjaThe exact, resultant equilibrium conditions for irregular shells reinforced by beams along the junctions are formulated. The equilibrium conditions are derived by performing direct integration of the global equilibrium conditions of continuum mechanics. New, exact resultant static continuity conditions along the singular curve modelling reinforced junction are presented. The results do not depend on shell thickness, internal through-the-thickness...
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Potential energy surfaces of the low-lying electronic states of the Li+LiCs system
Dane BadawczeThis data presents potential energy surfaces of Li atom interacting with LiCs dimer for the ground and first excited state. They were calculated using effective core potentials and MRCI method and include relativistic effects. The interatomic distance in the dimer is kept constant and equal to experimental value of 6.931704423 bohrs (3.6681 A). Energy...
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Objectivity in a Noisy Photonic Environment through Quantum State Information Broadcasting
PublikacjaRecently, the emergence of classical objectivity as a property of a quantum state has been explicitly derived for a small object embedded in a photonic environment in terms of a spectrum broadcast form—a specific classically correlated state, redundantly encoding information about the preferred states of the object in the environment. However, the environment was in a pure state and the fundamental problem was how generic and robust...
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Toxoplasma godnii recombinant chimeric antigens - IgM and IgG ELISAs - mouse serum samples
Dane BadawczeThis study presents an evaluation of tetravalent recombinant chimeric proteins containing fragments of the Toxoplasma gondii antigens, SAG2, SAG1, GRA1, GRA2, MIC1, MAG1, ROP1 and AMA1, as potential replacements of a the soluble, whole-cell tachyzoite lysate (TLA) used in serological assays. Recombinant chimeric proteins (SAG1-MIC1-MAG1-GRA2, SAG2-GRA1-ROP1-GRA2,...
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Case Study NEB Atlas / part I - 3D Models / Brunnshög, Lund
Dane BadawczeThe data presents the results of work on the analysis of contemporary neighbourhoods. The aim of this part of the research was to create a digital model - a simplified digital twin - for selected parts of housing estates already realised in various cities in Europe. This group presents a model for a fragment of the Brunnshög district in Lund, Sweden....
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Toxoplasma gondii recombinant chimeric antigens - IgG and IgM ELISAs - human serum samples
Dane BadawczeThis study presents an evaluation of tetravalent recombinant chimeric proteins containing fragments of the Toxoplasma gondii antigens, SAG1, SAG2, GRA1, GRA2, MIC1, MAG1, ROP1 and AMA1, as potential replacements of a the soluble, whole-cell tachyzoite lysate (TLA) used in serological assays. Recombinant chimeric proteins (SAG1-MIC1-MAG1-GRA2, SAG2-GRA1-ROP1-GRA2,...
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Design of a microrobotic wrist for needle laparoscopic surgery
PublikacjaThe paper addresses the design of a micro wrist for needle laparoscopic surgery (needlescopy) using MEMS technology and an original 3 degree of freedom, 3D architecture. Advancement in needlescopy drives the development of multi-dof micro-tools 1-2mmin diameter with 3D mobility but standard available fabricationtechniques are for 2.5D structures. The paper discusses thedevelopment steps and design solutions for the realization...
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MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION
PublikacjaThe purpose of this work is to study the memory effect analysis of Caputo–Fabrizio time fractional diffusion equation by means of cubic B-spline functions. The Caputo–Fabrizio interpretation of fractional derivative involves a non-singular kernel that permits to describe some class of material heterogeneities and the effect of memory more effectively. The proposed numerical technique relies on finite difference approach and cubic...
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Homoclinics for singular strong force Lagrangian systems in R^N
PublikacjaWe will be concerned with the existence of homoclinics for second order Hamiltonian systems in R^N (N>2) given by Hamiltonians of the form H(t,q,p)=Φ(p)+V(t,q), where Φ is a G-function in the sense of Trudinger, V is C^2-smooth, periodic in the time variable, has a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin. Under a strong force type condition aroud the singular point ξ, we prove...
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Interactions of PDA tetramers with the Au surfaces
Dane BadawczeThis dataset contains electrostatic difference potential (EDP) maps, density of states (DOS) spectra, and adsorption geometries of cyclic tetramers on the Au surface. The real polydopamine was modelled either as the cyclic tetramers in the oxidised (indolequinone, IQ) and reduced (dihydroxyindole, DHI) chemistries with all units being the same - either...
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A Subspace-Splitting Moment-Matching Model-Order Reduction Technique for Fast Wideband FEM Simulations of Microwave Structures
PublikacjaThis article describes a novel model-order reduction (MOR) approach for efficient wide frequency band finite-element method (FEM) simulations of microwave components. It relies on the splitting of the system transfer function into two components: a singular one that accounts for the in-band system poles and a regular part that has no in-band poles. In order to perform this splitting during the reduction process, the projection...
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Full CI ground state potential energy curves and one-electron relativistic corrections for hydrogen molecule in various basis sets
Dane BadawczeThis dataset consists of Full CI ground state Born-Oppenheimer potential energy curves and one-electron relativistic corrections for hydrogen dimer. Nonrelativistic energies, as well as one electron relativistic corrections (treated perturbatively with help of the Cowan-Griffin Hamiltonian) are presented for internuclear distances between 0.8 and 10...
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Regularized Local Multivariate Reduced-Order Models With Nonaffine Parameter Dependence
PublikacjaThis paper addresses a singular problem, not yet discussed in the literature, which occurs when parametric reduced-order models are created using a subspace projection approach with multiple concatenated projection bases. We show that this technique may lead to the appearance of localized artifacts in the frequency characteristics of a system, even when the reduced-order projection basis is rich enough to describe the original...
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Numerical Comparison of Damping Amplification Effects Obtained in Neighborhood of a Mechanism Singular Position - Viscous and Electromagnetic Cases
PublikacjaIn the paper, results of numerical investigations are presented. A continuous beam is considered as the main vibrating element. Two energy dissipations methods are compared: viscous dampers and DC generators. To increase the damping effectiveness, velocity amplification is proposed, i.e., a mechanism is introduced between the beam and the damping element, and the mechanism configuration is set as closed to the singular position...
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Numerical and quantitative analysis of HIV/AIDS model with modified Atangana-Baleanu in Caputo sense derivative
PublikacjaFractional calculus plays an important role in the development of control strategies, the study of the dynamical transmission of diseases, and some other real-life problems nowadays. The time-fractional HIV/AIDS model is examined using a novel method in this paper. Based on the Atangana-concept Baleanu’s of a derivative in the Caputo sense, the current modified fractional derivative operator uses singular and non-local kernels....
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Neoplasm, uncertain whether benign or malignant - Female, 59 - Tissue image [5180730014262491]
Dane BadawczeThis is the histopathological image of THYROID GLAND tissue sample obtained in Medical University Gdańsk and deposited in ZMDL-GUMED. The sample image was taken using: Pannoramic 250 3DHistech slide scanner (20x magnification) and saved to DICOM format.
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Neoplasm, uncertain whether benign or malignant - Female, 59 - Tissue image [4270730007814081]
Dane BadawczeThis is the histopathological image of THYROID GLAND tissue sample obtained in Medical University Gdańsk and deposited in ZMDL-GUMED. The sample image was taken using: Pannoramic 250 3DHistech slide scanner (20x magnification) and saved to DICOM format.