A restricted version of the Hilbert's 16th problem for quadratic vector fields

zbMath1239.34029arXiv0910.3443MaRDI QIDQ5199453

Jaume Llibre, Yulij S. Ilyashenko

Publication date: 16 August 2011

Full work available at URL: https://arxiv.org/abs/0910.3443

zbMATH Keywords

limit cyclesquadratic systems

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) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Ordinary differential equations and systems on manifolds (34C40)

Related Items (5)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers ⋮ Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree ⋮ Asymptotic lower bounds on Hilbert numbers using canard cycles ⋮ On the number of limit cycles of planar quadratic vector fields with a perturbed center

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