Classification of cubic differential systems with invariant straight lines of total multiplicity eight and two distinct infinite singularities

DOI10.14232/ejqtde.2015.1.74zbMath1349.34038OpenAlexW2234642752MaRDI QIDQ2803204

Nicolae Vulpe, Cristina Bujac

Publication date: 3 May 2016

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.2015.1.74

zbMATH Keywords

affine invariant polynomialsconfiguration of invariant linescubic vector fieldsinfinite and finite singularities

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Invariant manifolds for ordinary differential equations (34C45)

Related Items (4)

First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines ⋮ Unnamed Item ⋮ Cubic differential systems with invariant straight lines of total multiplicity eight possessing one infinite singularity ⋮ Unnamed Item

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