Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\)

DOI10.1007/s12346-011-0046-9zbMath1267.34002OpenAlexW2086767972MaRDI QIDQ1936520

Cristóbal García, Manuel Reyes, Antonio Algaba

Publication date: 5 February 2013

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

Full work available at URL: https://doi.org/10.1007/s12346-011-0046-9

zbMATH Keywords

planar vector fieldinverse integrating factornilpotent singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (6)

Algebraic integrability of nilpotent planar vector fields ⋮ Invariant curves and analytic integrability of a planar vector field ⋮ Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems ⋮ Non-formally integrable centers admitting an algebraic inverse integrating factor ⋮ Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor ⋮ Analytic integrability for some degenerate planar vector fields

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