Results 1 to 10 of about 23,327 (265)
Classification of f-biharmonic submanifolds in Lorentz space forms
Open Mathematics, 2021 In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
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Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?
Mathematics, 2021 This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent field
Erik M. Bollt, Shane D. Ross
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Centralizers of elements in Lie algebras of vector fields with polynomial coefficients
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 \abstract{ukrainian}{ Нехай $\mathbb K$ -- алгебраїчно замкнене поле харатеристики нуль, $A = \mathbb K[x_1,\dots,x_n]$ -- кільце многочленів і $R = \mathbb K(x_1,\dots,x_n)$ -- поле раціональних функцій від $n$ змінних.
Анатолій Петрович Петравчук
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Polynomial reconstruction of staggered unstructured vector fields [PDF]
Theoretical and Applied Mechanics, 2009 Polynomial reconstruction of staggered unstructured vector fields has been considered. Coefficients of such polynomials are determined by the least squares method. Reduction in the rank of the least squares systems caused by the over-specification of the
Vidović Dragan
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Exact Solutions for Isobaric Inhomogeneous Couette Flows of a Vertically Swirling Fluid [PDF]
Journal of Applied and Computational Mechanics, 2023 The paper generalizes the partial class of exact solutions to the Navier–Stokes equations. The proposed exact solution describes an inhomogeneous three-dimensional shear flow in a layer of a viscous incompressible fluid.
Sergey Ershkov +2 more
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Современные информационные технологии и IT-образование, 2019 We consider vector mappings over the set of 0 and 1 given by the set of Boolean functions. Boolean functions included in the map are given in ANF. Having fixed the rule according to which the binary vectors are associated with the elements of a finite ...
Sergey A. Belov
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Computer studies of polynomial solutions for gyrostat dynamics [PDF]
Компьютерные исследования и моделирование, 2018 We study polynomial solutions of gyrostat motion equations under potential and gyroscopic forces applied and of gyrostat motion equations in magnetic field taking into account Barnett-London effect.
Alexander Vasilievich Zyza
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SciPost Physics Proceedings, 2023 In Kontsevich's graph calculus, internal vertices of directed graphs are inhabited by multi - vectors, e.g., Poisson bi - vectors; the Nambu - determinant Poisson brackets are differential - polynomial in the Casimir(s) and density $\varrho$ times Levi -
Ricardo Buring, Arthemy V. Kiselev
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Configuration of Zeros of Isochronous Vector Fields of Degree 5
Complexity, 2021 In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field.
Julio Cesar Avila +2 more
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ε-arithmetics for real vectors and linear processing of real vector-valued signals
Journal of Information and Intelligence, 2023 In this paper, we introduce a new concept, namely ε-arithmetics, for real vectors of any fixed dimension. The basic idea is to use vectors of rational values (called rational vectors) to approximate vectors of real values of the same dimension within ε ...
Xiang-Gen Xia
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