Results 21 to 30 of about 22,379 (263)

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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Generic polynomial vector fields are not integrable

Indagationes Mathematicae, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maciejewski, Andrzej J, Ollagnier, Jean Moulin, Nowicki, Andrzej   +2 more
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Explicit Geometric Integration of Polynomial Vector Fields [PDF]

BIT Numerical Mathematics, 2004
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Mclachlan, Robert Iain., Quispel, Gilles.   +1 more
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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, Guangting Feng, Xinan Zhang   +2 more
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Bifurcation at Infinity in Polynomial Vector Fields

Journal of Differential Equations, 1993
We study here the appearance of limit cycles from the equator in polynomial vector fields with no singular points at infinity: this bifurcation is a generalized Hopf bifurcation from the point at infinity. We start with the general theory and then specialize to the particular case of cubic polynomial systems for which we study the simultaneous ...
Blows, T.R., Rousseau, C.
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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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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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New Nonlinear Active Element Dedicated to Modeling Chaotic Dynamics with Complex Polynomial Vector Fields

Entropy, 2019
This paper describes evolution of new active element that is able to significantly simplify the design process of lumped chaotic oscillator, especially if the concept of analog computer or state space description is adopted.
Jiri Petrzela, Roman Sotner
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Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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