Configuration of Zeros of Isochronous Vector Fields of Degree 5 | Zendy

Julio César Ávila | Zendy; Montserrat Corbera | Zendy; Martín-Eduardo Frías-Armenta | Zendy

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Configuration of Zeros of Isochronous Vector Fields of Degree 5

Author(s) -

Julio César Ávila,

Montserrat Corbera,

Martín-Eduardo Frías-Armenta

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6227955

Subject(s) - degree (music) , mathematics , vector field , plane (geometry) , polynomial , order (exchange) , field (mathematics) , complex plane , algebraic number , mathematical analysis , pure mathematics , geometry , physics , finance , acoustics , economics

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.

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