Geometry and integrability of quadratic systems with invariant hyperbolas

Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability. This is a rich family with a variety of integrable systems with either polynomial, rational, Darboux or more general Liouvillian f...

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Bibliographic Details
Main Authors: Regilene Oliveira, Dana Schlomiuk, Ana Maria Travaglini
Format: Article
Language:English
Published: University of Szeged 2021-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8591