Centers for trigonometric Abel equations

DOI10.1007/s12346-011-0054-9zbMath1264.34055OpenAlexW2009269145MaRDI QIDQ1936476

Armengol Gasull, Francesc Mañosas, Anna Cima

Publication date: 5 February 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150523

zbMATH Keywords

momentsperiodic orbitscenterstrigonometric Abel equationpersistent 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)

Related Items (18)

Infinitesimal center problem on zero cycles and the composition conjecture ⋮ The center problem and composition condition for Abel differential equations ⋮ Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ An explicit bound of the number of vanishing double moments forcing composition ⋮ Research on the weak center problem of a class of \({\varLambda - \varOmega}\) differential systems ⋮ Centers and limit cycles for a family of Abel equations ⋮ On the composition center for a class of rigid system ⋮ Rigid centres on the center manifold of tridimensional differential systems ⋮ On the center problem for generalized Abel equations ⋮ Weak and strong composition conditions for the Abel differential equation ⋮ Parametric center-focus problem for Abel equation ⋮ A partial positive answer to a Lijun-Yun conjecture ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS ⋮ Algebraic geometry of the center-focus problem for Abel differential equations ⋮ Algebraic geometry of Abel differential equation ⋮ On the center-focus problem for a family of high-order polynomial differential systems ⋮ Universal curves in the center problem for Abel differential equations ⋮ A counterexample to the composition condition conjecture for polynomial Abel differential equations

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• Abel Equations: Composition Conjectures and the Model Problem
• A counterexample to the “composition conjecture"
• Non-autonomous equations related to polynomial two-dimensional systems
• On a condition for a centre of cubic non-autonomous equations
• LIMIT CYCLES FOR SOME ABEL EQUATIONS HAVING COEFFICIENTS WITHOUT FIXED SIGNS

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