Results 1 to 10 of about 1,461,044 (179)

Stable piecewise polynomial vector fields [PDF]

open access: yesElectronic Journal of Differential Equations, 2012
Let $N={y>0}$ and $S={y<0}$ be the semi-planes of $mathbb{R}^2$ having as common boundary the line $D={y=0}$. Let $X$ and $Y$ be polynomial vector fields defined in $N$ and $S$, respectively, leading to a discontinuous piecewise polynomial vector ...
Claudio Pessoa, Jorge Sotomayor
doaj   +3 more sources

Polynomial poly-vector fields [PDF]

open access: yes, 2008
In this text we give a decomposition result on polynomial poly-vector fields generalizing a result on the decomposition of homogeneous Poisson structures.
Klinker, Frank
core   +4 more sources

Ricci Vector Fields

open access: yesMathematics, 2023
We introduce a special vector field ω on a Riemannian manifold (Nm,g), such that the Lie derivative of the metric g with respect to ω is equal to ρRic, where Ric is the Ricci tensor of (Nm,g) and ρ is a smooth function on Nm.
Hanan Alohali, Sharief Deshmukh
doaj   +1 more source

Symmetries of locally rotationally symmetric Bianchi type V spacetime

open access: yesResults in Physics, 2023
In this paper, we classify the metric of locally rotationally symmetric Bianchi type V spacetime through its symmetries, including Killing, homothetic and conformal vector fields.
Jamshed Khan   +3 more
doaj   +1 more source

Bianchi I Cosmology and Scalar Vector Tensor Brans Dicke Gravity [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2021
We consider Brans Dicke scalar vector tensor gravity to study an inflationary scenario of the accelerating expansion of theuniverse for which the anisotropy property occurs.
Hossein Ghaffarnejad, Hoda Gholipour
doaj   +1 more source

Metasurface based symmetry transformation for single-shot angular momentum detection within a large mode space

open access: yesFrontiers in Physics, 2023
The spin angular momentum (SAM) and orbital angular momentum (OAM) are unique properties of vortex beams and widely used in optical communication and sensing, wherein unambiguous detection of them is of significance.
Yixiong Luo   +22 more
doaj   +1 more source

Minimal sets and chaos in planar piecewise smooth vector fields

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
Some aspects concerning chaos and minimal sets in discontinuous dynamical systems are addressed. The orientability dependence of trajectories sliding trough some variety is exploited and new phenomena emerging from this situation are highlighted.
Tiago Carvalho, Rodrigo Euzébio
doaj   +1 more source

The concepts of Lie derivative for discrete-time systems; pp. 253–265 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2012
The paper extends the concept of the Lie derivative of the vector field, used in the study of the continuous-time dynamical systems, for the discrete-time case.
Tanel Mullari   +3 more
doaj   +1 more source

Feedback linearization of discrete-time nonlinear control systems: computational aspects [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2020
An alternative solution of the static state feedback linearization problem for the discrete-time case is given. This solution is based on the sequence of distributions, whose computation requires only the knowledge of the backward shift equations.
Tanel Mullari, Ülle Kotta
doaj   +1 more source

Analysis of eye movements to study drawing in the context of vector fields

open access: yesFrontiers in Education, 2023
Research has shown that visual representations can substantially enhance the learning and understanding of STEM concepts; despite this, students tend to struggle in using them fluently and consistently.
Larissa Hahn, Pascal Klein
doaj   +1 more source

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