Analytic integrability and characterization of centers for nilpotent singular points

DOI10.1007/s00033-004-1093-8zbMath1069.34045OpenAlexW2113020312MaRDI QIDQ1766753

Jaume Giné

Publication date: 1 March 2005

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-004-1093-8

zbMATH Keywords

nilpotent centeranalytic integrabilitynilpotent singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (8)

Integrability of vector fields versus inverse Jacobian multipliers and normalizers ⋮ Analytic integrability and characterization of centers for generalized nilpotent singular points. ⋮ Center conditions for nilpotent cubic systems using the Cherkas method ⋮ Reversible nilpotent centers with cubic homogeneous nonlinearities ⋮ A note on analytic integrability of planar vector fields ⋮ Analytic nilpotent centers with analytic first integral ⋮ A method for characterizing nilpotent centers ⋮ Periodic solutions of a 2D-autonomous system using Mathematica\(^{\copyright}\)

This page was built for publication: Analytic integrability and characterization of centers for nilpotent singular points