Planar quadratic vector fields with two or three finite singularities and a finite saddle connection on a straight line

DOI10.1007/s12346-009-0001-1zbMath1197.34043OpenAlexW2022847822MaRDI QIDQ845595

Maria Elasir Seabra Gomes, Antonio Augusto Gaspar Ruas, Paulo Cesar Carrião

Publication date: 29 January 2010

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-009-0001-1

zbMATH Keywords

classificationnormal formsingularityquadratic vector fieldphase portraitPoincaré compactification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)

Cites Work

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• Planar quadratic vector fields with finite saddle connection on a straight line (non-convex case)
• Planar quadratic vector fields with finite saddle connection on a straight line (convex case)
• Structurally stable quadratic vector fields
• Generic Properties of Polynomial Vector Fields at Infinity

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