On the first integrals in the center problem

DOI10.1016/j.bulsci.2012.11.001zbMath1297.34044OpenAlexW1995914879MaRDI QIDQ388129

Jaume Giné

Publication date: 19 December 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.11.001

zbMATH Keywords

first integralcenter problemanalytic differential systems

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)

Related Items (4)

Centers for a class of generalized quintic polynomial differential systems ⋮ Invariant curves and analytic integrability of a planar vector field ⋮ Centers and isochronous centers for generalized quintic systems ⋮ A method for characterizing nilpotent centers

Cites Work

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• Existence of inverse integrating factors and Lie symmetries for degenerate planar centers
• A characterization of centres via first integrals
• On the integrability of two-dimensional flows
• Reversibility and classification of nilpotent centers
• Darboux integrability and the inverse integrating factor.
• Isochronous centers of cubic reversible systems
• ON THE DEGENERATE CENTER PROBLEM
• ON THE CENTERS OF PLANAR ANALYTIC DIFFERENTIAL SYSTEMS
• Local analytic integrability for nilpotent centers
• SUFFICIENT CONDITIONS FOR A CENTER AT A COMPLETELY DEGENERATE CRITICAL POINT
• Symétrie et forme normale des centres et foyers dégénérés
• Probleme General de la Stabilite du Mouvement. (AM-17)

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