Configuration of Zeros of Isochronous Vector Fields of Degree 5

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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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2021, Vol.2021 (1), Article 6227955
Hauptverfasser: Avila, Julio Cesar, Corbera, Montserrat, Frías–Armenta, Martín Eduardo
Format: Artikel
Sprache:eng
Schlagworte:
Configurations
Fields (mathematics)
Mathematics
Mathematics, Interdisciplinary Applications
Multidisciplinary Sciences
Physical Sciences
Polynomials
Science & Technology
Science & Technology - Other Topics
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Zusammenfassung: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2021/6227955