Results 11 to 20 of about 22,379 (263)
Isochronicity and commutation of polynomial vector fields [PDF]
Siberian Mathematical Journal, 1999 21 pages, LaTeX, 5 PostScript ...
Volokitin, E. P., Ivanov, V. V.
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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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Invariants of polynomial vector fields
Journal of Differential Equations, 2023 We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.
Llibre, Jaume, Valls, Claudia
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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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Twin Polynomial Vector Fields of Arbitrary Degree
Bulletin of the Brazilian Mathematical Society, New Series, 2021 In this paper we study polynomial vector fields on C2 of degree larger than 2 with n2 isolated singularities. More precisely, we show that if two polynomial vector fields share n2-1 singularities with the same spectra (trace and determinant) and from these singularities n2-2 have the same positions, then both vector fields have identical position and ...
Llibre, Jaume, Valls, Clàudia
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