Configuration of Zeros of Isochronous Vector Fields of Degree 5

In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field. We use the obtained results to analyze configurations having some of its zeros satisfying some particular geo...

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Main Authors: Julio Cesar Avila, Montserrat Corbera, Martín Eduardo Frías–Armenta
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6227955
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author Julio Cesar Avila
Montserrat Corbera
Martín Eduardo Frías–Armenta
author_facet Julio Cesar Avila
Montserrat Corbera
Martín Eduardo Frías–Armenta
author_sort Julio Cesar Avila
collection DOAJ
description In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field. We use the obtained results to analyze configurations having some of its zeros satisfying some particular geometric conditions.
format Article
id doaj-art-3fa338fc840343139b8c4e76a295d4b1
institution Kabale University
issn 1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-3fa338fc840343139b8c4e76a295d4b12025-02-03T05:45:37ZengWileyComplexity1099-05262021-01-01202110.1155/2021/6227955Configuration of Zeros of Isochronous Vector Fields of Degree 5Julio Cesar Avila0Montserrat Corbera1Martín Eduardo Frías–Armenta2Tecnologico de MonterreyDepartament D’EnginyeriesDepartamento de MatemáticasIn this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field. We use the obtained results to analyze configurations having some of its zeros satisfying some particular geometric conditions.http://dx.doi.org/10.1155/2021/6227955
spellingShingle Julio Cesar Avila
Montserrat Corbera
Martín Eduardo Frías–Armenta
Configuration of Zeros of Isochronous Vector Fields of Degree 5
Complexity
title Configuration of Zeros of Isochronous Vector Fields of Degree 5
title_full Configuration of Zeros of Isochronous Vector Fields of Degree 5
title_fullStr Configuration of Zeros of Isochronous Vector Fields of Degree 5
title_full_unstemmed Configuration of Zeros of Isochronous Vector Fields of Degree 5
title_short Configuration of Zeros of Isochronous Vector Fields of Degree 5
title_sort configuration of zeros of isochronous vector fields of degree 5
url http://dx.doi.org/10.1155/2021/6227955
work_keys_str_mv AT juliocesaravila configurationofzerosofisochronousvectorfieldsofdegree5
AT montserratcorbera configurationofzerosofisochronousvectorfieldsofdegree5
AT martineduardofriasarmenta configurationofzerosofisochronousvectorfieldsofdegree5