Results 21 to 30 of about 253,152 (270)
On the structure of transitively differential algebras [PDF]
, 1999 We study finite-dimensional Lie algebras of polynomial vector fields in $n$ variables that contain the vector fields ${\partial}/{\partial x_i} \; (i=1,\ldots, n)$ and $x_1{\partial}/{\partial x_1}+ \dots + x_n{\partial}/{\partial x_n}$.
Post, G.F.
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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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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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The $16$th Hilbert problem on algebraic limit cycles [PDF]
, 2014 For real planar polynomial differential systems there appeared a simple version of the $16$th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number of algebraic limit cycles of all polynomial vector fields of degree $m ...
Xiang, Zhang
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On Polynomial Hamiltonian Planar Vector Fields
Journal of Differential Equations, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cima, A., Gasull, A., Manosas, F.
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Cofactors and equilibria for polynomial vector fields [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 We present a relationship between the existence of equilibrium points of differential systems and the cofactors of the invariant algebraic curves and the exponential factors of the system.
Ferragut, Antoni, Llibre, Jaume
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Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus [PDF]
, 2015 This paper investigates the irreducibility of certain representations for the Lie algebra of divergence zero vector fields on a torus. In "Irreducible Representations of the Lie-Algebra of the Diffeomorphisms of a d-Dimensional Torus," S.
Talboom, John
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The global dynamics of a class of nonlinear vector fields in $\mathbb{R}^3$
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we study the geometric properties of a class of nonlinear polynomial vector fields in $\mathbb{R}^3$. By virtue of their induced vector fields, their global topological structures are discussed and we get that there are at least 82 types
Jinhui Zhang +2 more
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Centers of weight-homogeneous polynomial vector fields on the plane [PDF]
, 2016 Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial
Giné, Jaume +2 more
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Complete polynomial vector fields in simplexes with application to evolutionary dynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical evolution models.
N. M. Ben Yousif
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