Results 21 to 30 of about 23,327 (265)

The global dynamics of a class of nonlinear vector fields in $\mathbb{R}^3$

open access: yesElectronic 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
doaj   +1 more source

Covariants, Invariant Subsets, and First Integrals [PDF]

open access: yesÉpijournal 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
doaj   +1 more source

Generic polynomial vector fields are not integrable

open access: yesIndagationes Mathematicae, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maciejewski, Andrzej J   +2 more
openaire   +1 more source

Explicit Geometric Integration of Polynomial Vector Fields [PDF]

open access: yesBIT Numerical Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mclachlan, Robert Iain.   +1 more
openaire   +2 more sources

A Fast Parameter Estimation Algorithm for Near-field Non-circular Signals

open access: yesLeida 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
doaj   +1 more source

On Polynomial Hamiltonian Planar Vector Fields

open access: yesJournal of Differential Equations, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cima, A., Gasull, A., Manosas, F.
openaire   +2 more sources

New Nonlinear Active Element Dedicated to Modeling Chaotic Dynamics with Complex Polynomial Vector Fields

open access: yesEntropy, 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
doaj   +1 more source

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

open access: yesPhysical 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
doaj   +1 more source

Equivariant decomposition of polynomial vector fields [PDF]

open access: yesCommunications 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.
openaire   +3 more sources

Correction to Generic polynomial vector fields are not integrable

open access: yesIndagationes Mathematicae, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maciejewski, Andrzej J.   +2 more
openaire   +2 more sources

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