Invariant curves and analytic integrability of a planar vector field

DOI10.1016/j.jde.2018.07.074zbMath1412.34110OpenAlexW2885628322MaRDI QIDQ1627706

Cristóbal García, Manuel Reyes, Antonio Algaba

Publication date: 3 December 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.074

zbMATH Keywords

integrabilityinvariant curvesinverse integrating factoranalytic vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (8)

Algebraic integrability of nilpotent planar vector fields ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ Analytic integrability around a nilpotent singularity ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ Center conditions of a particular polynomial differential system with a nilpotent singularity ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems ⋮ A survey on the Kovalevskaya exponents and their applications ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^*

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