Focus-center problem of planar degenerate system

DOI10.1016/j.jmaa.2008.05.030zbMath1153.34328OpenAlexW2032922328MaRDI QIDQ932369

Weigu Li, Yilei Tang, Zhi-Fen Zhang

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.030

zbMATH Keywords

centerfocusgeneralized normal sector

Mathematics Subject Classification ID

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

Related Items (5)

A new algorithm for determining the monodromy of a planar differential system ⋮ The discontinuous limit case of an archetypal oscillator with a constant excitation and van der Pol damping ⋮ Center problem for generic degenerate vector fields ⋮ Quasi normal sectors and orbits in regular critical directions of planar system ⋮ A new normal form for monodromic nilpotent singularities of planar vector fields

Cites Work

• Singularities of vector fields on the plane
• Monodromy and stability of a class of degenerate planar critical points
• A necessary condition in the monodromy problem for analytic differential equations on the plane
• Sur les points singuliers multiples de systèmes dynamiques dans \(R^ 2\)
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• The focus-centre problem for a type of degenerate system
• Generalized normal sectors and orbits in exceptional directions
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