Geometry and integrability of quadratic systems with invariant hyperbolas

DOI10.14232/ejqtde.2021.1.6zbMath1474.34226OpenAlexW3122530800WikidataQ115238107 ScholiaQ115238107MaRDI QIDQ4996951

Ana Maria Travaglini, Dana Schlomiuk, Regilene D. S. Oliveira

Publication date: 25 June 2021

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2021.1.6

zbMATH Keywords

Darboux integrabilityLiouvillian integrabilityinvariant algebraic curvesquadratic differential systemsinvariant hyperbola

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Geometric analysis of quadratic differential systems with invariant ellipses ⋮ The interplay among the topological bifurcation diagram, integrability and geometry for the family \(\mathrm{QSH(D)}\) ⋮ On families \(\boldsymbol{QSL}_{\geq 2}\) of quadratic systems with invariant lines of total multiplicity at least 2

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