A partial positive answer to a Lijun-Yun conjecture

DOI10.1007/s40574-019-00203-xzbMath1478.34032OpenAlexW2945404991WikidataQ123021938 ScholiaQ123021938MaRDI QIDQ1987776

Abílio Lemos, Alexandre Miranda Alves, Anderson Luis A. de Araujo

Publication date: 15 April 2020

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-019-00203-x

zbMATH Keywords

centerAbel differential equationmoment conditions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Moment problems (44A60) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• A new uniqueness criterion for the number of periodic orbits of Abel equations
• Center conditions at infinity for Abel differential equations
• The composition conjecture for Abel equation
• Center conditions. II: Parametric and model center problems
• Center conditions. III: Parametric and model center problems
• Centers for trigonometric Abel equations
• Solution of the parametric center problem for the Abel differential equation
• An algebraic model for the center problem
• Nondegenerate and nilpotent centers for a cubic system of differential equations
• On center sets of ODEs determined by moments of their coefficients
• Center conditions, compositions of polynomials and moments on algebraic curves
• Une approche au problème du centre-foyer de Poincaré
• Abel Equations: Composition Conjectures and the Model Problem
• On the limit cycles of polynomial differential systems with homogeneous nonlinearities
• A counterexample to the “composition conjecture"
• Non-autonomous equations related to polynomial two-dimensional systems
• Universal centres and composition conditions
• A counterexample to the composition condition conjecture for polynomial Abel differential equations
• Universal centers in the cubic trigonometric Abel equation
• Some new results on Abel equations
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