The center problem for the class of \(\varLambda-\varOmega\) differential systems

DOI10.1007/s12215-020-00568-5zbMath1500.34027OpenAlexW3096135199MaRDI QIDQ2243660

Jaume Llibre, Valentín Ramírez, Rafael O. Ramírez

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00568-5

zbMATH Keywords

first integralweak centerpolynomial differential systemanalytic planar diferential systemPoincaré-Liapunov first integral

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) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Algebraic solutions for polynomial systems with emphasis in the quadratic case
• Center problem for \(\Lambda\)-\(\Omega\) differential systems
• An inverse approach to the center problem
• Liouvillian First Integrals of Differential Equations
• Non-autonomous equations related to polynomial two-dimensional systems
• Probleme General de la Stabilite du Mouvement. (AM-17)
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