Configuration of Zeros of Isochronous Vector Fields of Degree 5-Reference-Cited by-同舟云学术

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Configuration of Zeros of Isochronous Vector Fields of Degree 5

Published:2021-11-30 Issue: Volume:2021 Page:1-22
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Avila Julio Cesar¹^ORCID,Corbera Montserrat²^ORCID,Frías–Armenta Martín Eduardo³^ORCID

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

Link

http://downloads.hindawi.com/journals/complexity/2021/6227955.pdf

Reference13 articles.

1. Topological and analytical classification of vector fields with only isochronous centres

2. Complex structures adapted to smooth vector fields

3. Configurations of critical points in complex polynomial differential equations

4. Classification of complex polynomial vector fields in one complex variable

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