Quadratic systems with an invariant algebraic curve of degree 3 and a darboux invariant

Jaume Llibre, Regilene D.S. Oliveira, Camila A.B. Rodrigues

Producció científica: Contribució a una revistaArticleRecercaAvaluat per experts

1 Citació (Scopus)

Resum

Let QS be the class of non-degenerate planar quadratic differential systems and QS3 its subclass formed by the systems possessing an invariant cubic f(x, y) = 0. In this article, using the action of the group of real affine transformations and time rescaling on QS, we obtain all the possible normal forms for the quadratic systems in QS3 . Working with these normal forms we complete the characterization of the phase portraits in QS3 having a Darboux invariant of the form f(x, y)est, with s ∈ R.

Idioma originalEnglish
RevistaElectronic Journal of Differential Equations
Volum2021
Estat de la publicacióPublicada - 2021

Fingerprint

Navegar pels temes de recerca de 'Quadratic systems with an invariant algebraic curve of degree 3 and a darboux invariant'. Junts formen un fingerprint únic.

Com citar-ho