Solution of the problem of the centre for a cubic differential system with three invariant straight lines

DOI10.1007/BF02969386zbMath0994.34021MaRDI QIDQ5947312

Alexandru Şubă, Dumitru Cozma

Publication date: 29 September 2002

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

zbMATH Keywords

cubic differential systeminvariant straight linesproblem of the centre

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

A cubic system with a limit cycle bounded by two invariant parabolas ⋮ Unnamed Item ⋮ Evolutionary stable strategies and cubic vector fields ⋮ Limit cycles and invariant curves in a class of switching systems with degree four ⋮ Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position ⋮ Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four

Cites Work

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• Cubic systems with four line invariants, including complex conjugated lines
• On the number of invariant straight lines for polynomial differential systems
• Real polynomial systems of degree \(n\) with \(n+1\) line invariants
• Partial integrals and the first focal value in the problem of centre
• On the number of invariant lines for polynomial vector fields
• Cubic systems with four real line invariants
• On a certain generalization of Bautin's theorem

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