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Matroid connectivity and singularities of configuration hypersurfaces [PDF]

open access: yesLetters in Mathematical Physics, 2021
Consider a linear realization of a matroid over a field. One associates with it a configuration polynomial and a symmetric bilinear form with linear homogeneous coefficients.
Denham, Graham   +2 more
core   +5 more sources

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés   +3 more
doaj   +5 more sources

S-matrix singularities and CFT correlation functions

open access: yesJournal of High Energy Physics, 2017
In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorisation singularities of an n-point cubic diagram reproduces the AdS Witten ...
Carlos Cardona, Yu-tin Huang
doaj   +3 more sources

Image based visual servoing with kinematic singularity avoidance for mobile manipulator [PDF]

open access: yesPeerJ Computer Science
This article presents an implementation of visual servoing (VS) for a redundant mobile manipulator in an eye-in-hand configuration. We used the image based visual servoing (IBVS) scheme, which means the pose control of the robot is based on the error ...
Jesus Hernandez-Barragan   +4 more
doaj   +3 more sources

Flux lattices reformulated

open access: yesNew Journal of Physics, 2012
We theoretically explore the optical flux lattices produced for ultra-cold atoms subject to laser fields where both the atom–light coupling and the effective detuning are spatially periodic. We analyze the geometric vector potential and the magnetic flux
G Juzeliūnas, I B Spielman
doaj   +2 more sources

Analysis of Singular Configuration of Robotic Manipulators [PDF]

open access: yesElectronics, 2021
Robotic manipulators inevitably encounter singular configurations in the process of movement, which seriously affects their performance. Therefore, the identification of singular configurations is extremely important. However, serial manipulators that do not meet the Pieper criterion cannot obtain singular configurations through analytical methods.
Xinglei Zhang   +3 more
openaire   +1 more source

Singularities in Static Spherically Symmetric Configurations of General Relativity with Strongly Nonlinear Scalar Fields

open access: yesGalaxies, 2021
There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly nonlinear scalar ...
Oleksandr Stashko, Valery I. Zhdanov
doaj   +1 more source

Overcoming Kinematic Singularities for Motion Control in a Caster Wheeled Omnidirectional Robot

open access: yesRobotics, 2021
Omnidirectional planar robots are common these days due to their high mobility, for example in human–robot interactions. The motion of such mechanisms is based on specially designed wheels, which may vary when different terrains are considered. The usage
Oded Medina, Shlomi Hacohen
doaj   +1 more source

Singularities of Serial Robots: Identification and Distance Computation Using Geometric Algebra

open access: yesMathematics, 2022
The singularities of serial robotic manipulators are those configurations in which the robot loses the ability to move in at least one direction. Hence, their identification is fundamental to enhance the performance of current control and motion planning
Isiah Zaplana   +2 more
doaj   +1 more source

On singularities of real algebraic sets and applications to kinematics

open access: yesOpen Mathematics, 2020
We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
doaj   +1 more source

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