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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |