Universal curves in the center problem for Abel differential equations

DOI10.1017/etds.2014.104zbMath1361.34039arXiv1405.4924OpenAlexW2134532571MaRDI QIDQ2828026

Alexander Brudnyi

Publication date: 24 October 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4924

zbMATH Keywords

Abel differential equationcenter problemuniversal center

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)

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Centers of planar generalized Abel equations

Cites Work

• Polynomial differential equations with piecewise linear coefficients
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• On the polynomial moment problem
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• Centers for trigonometric Abel equations
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• The moment finiteness problem and characterization of universal centres of ordinary differential equations with analytic coefficients
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• Solution of the polynomial moment problem
• Center conditions, compositions of polynomials and moments on algebraic curves
• The Bautin ideal of the Abel equation
• Abel Equations: Composition Conjectures and the Model Problem
• Centennial History of Hilbert's 16th Problem
• Composition conditions for classes of analytic functions
• Non-autonomous equations related to polynomial two-dimensional systems
• THE GROUP OF TRANSLATIONS AND POSITIVE RATIONAL POWERS IS FREE
• Universal centres and composition conditions
• Universal centers in the cubic trigonometric Abel equation
• On the center problem for ordinary differential equations

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