A simple solution of some composition conjectures for Abel equations

DOI10.1016/j.jmaa.2012.09.006zbMath1269.34035OpenAlexW2013841917WikidataQ123366486 ScholiaQ123366486MaRDI QIDQ695100

Francesc Mañosas, Armengol Gasull, Anna Cima

Publication date: 20 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.006

zbMATH Keywords

centerperiodic orbitcomposition conjecturetrigonometric Abel equationgeneralized momentstrongly persistent 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 (17)

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 ⋮ Centers and limit cycles for a family of Abel equations ⋮ Integrable weak saddles for trigonometric Liénard systems ⋮ Algebraic approach to the classification of centers in trigonometric Cherkas systems ⋮ Weak and strong composition conditions for the Abel differential equation ⋮ Parametric center-focus problem for Abel equation ⋮ On decompositions of trigonometric polynomials ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS ⋮ Solution of the parametric center problem for the Abel differential equation ⋮ Center problem for trigonometric Liénard systems ⋮ Algebraic geometry of the center-focus problem for Abel differential equations ⋮ Universal curves in the center problem for Abel differential equations ⋮ Highest weak focus order for trigonometric Liénard equations ⋮ A counterexample to the composition condition conjecture for polynomial Abel differential equations

This page was built for publication: A simple solution of some composition conjectures for Abel equations