Results 21 to 30 of about 359,696 (180)
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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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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Spiralling dynamics near heteroclinic networks [PDF]
, 2013 There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere $\EU^3$, whose flow has a ...
Address Of Alex +7 more
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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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Darboux theory of integrability in the sparse case [PDF]
, 2014 International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first integrals and rational first integrals of a polynomial vector field. These results are given in terms of the degree of the polynomial vector field.
Christopher +21 more
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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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Non-existence criteria for Laurent polynomial first integrals
Electronic Journal of Qualitative Theory of Differential Equations, 2003 In this paper we derived some simple criteria for non-existence and partial non-existence Laurent polynomial first integrals for a general nonlinear systems of ordinary differential equations $\dot x = f(x)$, $x \in \mathbb{R}^n$ with $f(0) = 0$. We show
Shaoyun Shi, Yuzhu Han
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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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Covariants, Invariant Subsets, and First Integrals [PDF]
Épijournal de Géométrie Algébrique, 2020 Let $k$ be an algebraically closed field of characteristic 0, and let $V$ be a finite-dimensional vector space. Let $End(V)$ be the semigroup of all polynomial endomorphisms of $V$.
Frank Grosshans, Hanspeter Kraft
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A Fast Parameter Estimation Algorithm for Near-field Non-circular Signals
Leida xuebao, 2020 In this paper, a fast parameter estimation algorithm for near-field non-circular signals is proposed, which is based on symmetric, uniform, and linear array, that decouple the near-field steering vector via non-circularity and symmetry.
Jiaqi SONG, Haihong TAO
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