Results 11 to 20 of about 359,696 (180)
Polynomial inverse integrating factors for polynomial vector fields
Discrete & Continuous Dynamical Systems - A, 2007 We present some results and one open question on the existence of polynomial inverse integrating factors for polynomial vector fields.
Antoni Ferragut +2 more
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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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Equivariant decomposition of polynomial vector fields [PDF]
Communications in Contemporary Mathematics, 2020 To compute the unique formal normal form of families of vector fields with nilpotent linear part, we choose a basis of the Lie algebra consisting of orbits under the action of the nilpotent linear part. This creates a new problem: to find explicit formulas for the structure constants in this new basis. These are well known in the 2D case, and recently
Mokhtari, Fahimeh, Sanders, J.A.
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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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Realization problems for limit cycles of planar polynomial vector fields [PDF]
, 2015 We show that for any finite configuration of closed curves $\Gamma\subset \mathbb{R}^2$, one can construct an explicit planar polynomial vector field that realizes $\Gamma$, up to homeomorphism, as the set of its limit cycles with prescribed periods ...
Margalef-Bentabol, Juan +1 more
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Explicit Geometric Integration of Polynomial Vector Fields [PDF]
BIT Numerical Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mclachlan, Robert Iain. +1 more
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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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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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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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