Family of quadratic differential systems with invariant parabolas: a complete classification in the space ${\mathbb R}^{12}$

Consider the class ${\bf QS}$ of all non-degenerate planar quadratic differential systems and its subclass ${\bf QSP}$ of all its systems possessing an invariant parabola. This is an interesting family because on one side it is defined by an algebraic geometric property and on the other, it is a fam...

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Bibliografske podrobnosti

Glavni avtor:	Nicolae Vulpe
Format:	Artigo
Jezik:	Inglês
Izdano:	University of Szeged 2024-05-01
Serija:	Electronic Journal of Qualitative Theory of Differential Equations
Teme:	quadratic vector fields affine invariant polynomials invariant algebraic curve invariant parabola
Online dostop:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10764
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