Results 11 to 20 of about 75,343 (266)

STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
A study is conducted on the asymptotic stability of the rest points of the fractional oscillator Van der Pol-Duffing. The fractional van der Pol-Duffing oscillator is an oscillatory system of two differential equations with fractional order derivatives ...
Е. R. Novikova
doaj   +1 more source

On the entire and finite valued solutions of the three-body problem [PDF]

open access: yesTheoretical and Applied Mechanics, 2016
A full list of entire and finite valued solutions of the three body problem in the form of functions, depending on a time variable, is established. All the entire and finite valued solutions are among the solutions of Euler and Lagrange.
Belyaev Alexandr
doaj   +1 more source

Numerical Treatment of Uniformly Convergent Method for Convection Diffusion Problem

open access: yesJournal of New Theory, 2022
In this paper, we will study the convergence properties of the method designed for the convection-diffusion problem. We will prove that the analytical and numerical methods give the same result.
Ali Filiz
doaj   +1 more source

Point singularity array with metasurfaces

open access: yesNature Communications, 2023
AbstractPhase singularities are loci of darkness surrounded by monochromatic light in a scalar field, with applications in optical trapping, super-resolution imaging, and structured light-matter interactions. Although 1D singular structures, like optical vortices, are common due to their robust topological properties, uncommon 0D (point) and 2D (sheet)
Soon Wei Daniel Lim   +6 more
openaire   +5 more sources

Elastodynamic singular points and their applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
Suitable singularites such as a dynamical Kelvin quadropole are defined to study the dynamical displacements set up in an infinite homogeneous and isotropic elastic medium.
A. D. Alawneh, R. P. Kanwal
doaj   +1 more source

Singular points and Lie rotated vector fields

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
This paper gives the definition of Lie rotated vector fields in the plane and the conditions of movement of singular points on Lie rotated vector fields with variable parameters.
Jie Wang, Chen Chen
doaj   +1 more source

Multiple solutions of nonlinear boundary value problems with oscillatory solutions

open access: yesMathematical Modelling and Analysis, 2006
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj   +1 more source

Violation of the Uniqueness of Solutions for the Mathematical Model of the Motion of an Aerodynamic Pendulum in the Flow of a Quasi-Static Medium

open access: yesСовременные информационные технологии и IT-образование, 2022
The article presents the construction and study of a mathematical model of small oscillations of an aerodynamic pendulum in a flow of a moving medium. The model of the impact of the medium on the body is taken as the model of the quasi-static flow around
Dmitry Belyakov
doaj   +1 more source

Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles

open access: yesNanomaterials, 2022
Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the ...
Michael I. Tribelsky   +1 more
doaj   +1 more source

Tilings in topological spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well ...
F. G. Arenas
doaj   +1 more source

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