First integrals and phase portraits of planar polynomial differential cubic systems with invariant straight lines of total multiplicity eight

DOI10.14232/EJQTDE.2017.1.85zbMATH Open1413.58015OpenAlexW2783336183MaRDI QIDQ4584564

Cristina Bujac, Nicolae Vulpe

Publication date: 3 September 2018

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.2017.1.85

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zbMATH Keywords

Poincaré compactificationquadratic vector fieldsaffine invariant polynomialsgeometric equivalence relationconfiguration of singularitiesinfinite and finite singularities

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Singularities of vector fields, topological aspects (58K45)

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