Polynomial differential equations with many real ovals in the same algebraic complex solution

DOI10.5565/PUBLMAT_55211_06zbMath1273.32039MaRDI QIDQ555267

Alcides Lins Neto

Publication date: 22 July 2011

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1308748953

zbMATH Keywords

differential equationsfoliationsreal ovals

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Cites Work

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• The Poincaré problem in the nondicritical case
• On compact analytic surfaces. II
• Some examples for the Poincaré and Painlevé problems
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Vector fields, invariant varieties and linear systems.

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