Dynamical and algebraic analysis of planar polynomial vector fields linked to orthogonal polynomials

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Fecha
2020-08
2020-08
Autor
Rodríguez Contreras, Contreras
Reyes Linero, Alberto
Campo Donado, Maria
Acosta-Humánez, Primitivo B.
Metadatos
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Resumen
In the present work, our goal is to establish a study of some families of quadratic polynomial vector fields connected to orthogonal polynomials that relate, via two different points of view, the qualitative and the algebraic ones. We extend those results that contain some details related to differential Galois theory as well as the inclusion of Darboux theory of integrability and the qualitative theory of dynamical systems. We conclude this study with the construction of differential Galois groups, the calculation of Darboux first integral, and the construction of the global phase portraits
Enlace para referencia:
https://hdl.handle.net/20.500.12442/6723
https://hdl.handle.net/20.500.12442/6723
Enlace DOI:
10.35741/issn.0258-2724.55.4.29
10.35741/issn.0258-2724.55.4.29
Enlace URL externo:
http://www.jsju.org/index.php/journal/article/view/674
http://www.jsju.org/index.php/journal/article/view/674