On the classification of elliptic foliations induced by real quadratic fields with center

DOI10.1016/j.jde.2016.09.019zbMath1352.32011OpenAlexW2523027959WikidataQ57917780 ScholiaQ57917780MaRDI QIDQ329269

Orestes Bueno, Liliana Puchuri

Publication date: 21 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.019

zbMATH Keywords

limit cyclespolynomial vector fieldselliptic foliations

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Fibrations, degenerations in algebraic geometry (14D06) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

• Unnamed Item
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• Perturbations of quadratic centers of genus one
• Quadratic centers defining elliptic surfaces
• Quadratic perturbations of quadratic codimension-four centers
• Topological invariants and equidesingularization for holomorphic vector fields
• Perturbations of quadratic centers
• Non-oscillation of elliptic integrals
• Centennial History of Hilbert's 16th Problem
• The infinitesimal 16th Hilbert problem in the quadratic case

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