Affine invariant polynomials - Open Access .click

Journal of Mathematical Analysis and Applications, 2023
This is a very interesting paper that extends the researches of B. and H. Sendov and J. Xiao, on the loci of the zeros of polynomials [\textit{B. Sendov} and \textit{H. Sendov}, Trans. Am. Math. Soc. 366, No. 10, 5155--5184 (2014; Zbl 1298.30005); \textit{B. Sendov} and \textit{H. Sendov}, Math. Proc. Camb. Philos. Soc. 159, No.
Hristo Stoyanov Sendov
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On the Geometry of Multi-affine Polynomials: Invariant Circles and Circular Solutions

Computational Methods and Function Theory
Hristo Sendov, Junquan Xiao
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On polynomial vector fields having a given affine variety as attractive and invariant set: application to robotics

International Journal of Control, 2015
The main goal of this paper is to compute a class of polynomial vector fields, whose associated dynamical system has a given affine variety as attractive and invariant set, a given point in such an affine variety as invariant and attractive and another given affine variety as invariant set, solving the application of this technique in the robotic area.
Possieri, Corrado, Tornambè, Antonio
openaire +6 more sources

On f-invariant and attractive affine varieties for continuous-time polynomial systems: The case of robot motion planning

53rd IEEE Conference on Decision and Control, 2014
The main objective of this paper is to describe a class of polynomial vector fields f, whose associated dynamic system has one or more affine varieties as f-invariant and attractive sets. This result can be used for robot motion planning, thus computing robot paths, avoiding collisions with obstacles and reaching a target point.
Possieri, Corrado, Tornambe, Antonio
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quadratic vector fields
infinite and finite singularities
configuration of singularities

quadratic differential systems
group action
geometric equivalence relation

poincaré compactification
fos: mathematics