Analytic integrability for some degenerate planar systems

DOI10.3934/cpaa.2013.12.2797zbMath1278.34001OpenAlexW2334465368MaRDI QIDQ1951455

Cristóbal García, Jaume Giné, Antonio Algaba

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.2797

zbMATH Keywords

nonlinear differential equationsintegrabilitydegenerate center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

Analytic integrability of some examples of degenerate planar vector fields ⋮ Analytic integrability inside a family of degenerate centers ⋮ Analytic integrability for some degenerate planar vector fields ⋮ Center problem for generic degenerate vector fields ⋮ On orbital-reversibility for a class of planar dynamical systems

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