Configuration of Zeros of Isochronous Vector Fields of Degree 5

Julio Cesar Avila; Montserrat Corbera; Martín Eduardo Frías-Armenta

doi:10.1155/2021/6227955

Configuration of Zeros of Isochronous Vector Fields of Degree 5

Julio Cesar Avila^*, Montserrat Corbera, Martín Eduardo Frías-Armenta

^*Corresponding author for this work

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	6227955
Journal	Complexity
Volume	2021
DOIs	https://doi.org/10.1155/2021/6227955
State	Published - 2021

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© 2021 Julio Cesar Avila et al.

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title = "Configuration of Zeros of Isochronous Vector Fields of Degree 5",

abstract = "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.",

author = "Avila, {Julio Cesar} and Montserrat Corbera and Fr{\'i}as-Armenta, {Mart{\'i}n Eduardo}",

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year = "2021",

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Y1 - 2021

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U2 - 10.1155/2021/6227955

DO - 10.1155/2021/6227955

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SN - 1076-2787

VL - 2021

JO - Complexity

JF - Complexity

M1 - 6227955

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Configuration of Zeros of Isochronous Vector Fields of Degree 5

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