Configuration of Zeros of Isochronous Vector Fields of Degree 5

Author:

Avila Julio Cesar1ORCID,Corbera Montserrat2ORCID,Frías–Armenta Martín Eduardo3ORCID

Affiliation:

1. Tecnologico de Monterrey, Campus Sonora Norte, Blvd. Enrique Mazón López 965, C. P. 83000, Hermosillo, Sonora, Mexico

2. Departament D’Enginyeries, Universitat de Vic-Universitat Central de Catalunya (UVic-UCC), C. de La Laura 13, 08500 Vic, Barcelona, Spain

3. Departamento de Matemáticas, Universidad de Sonora, Hermosillo, Mexico

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.

Funder

Tecnologico de Monterrey

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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