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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Hauptverfasser: Avila, Julio Cesar, Corbera Subirana, Montserrat, Frías-Armenta, Martín Eduardo
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Sprache:eng
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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.