Characterization of a monodromic singular point of a planar vector field

DOI10.1016/j.na.2011.05.023zbMath1226.34031OpenAlexW2019017410MaRDI QIDQ555061

Antonio Algaba, Cristóbal García, Manuel Reyes

Publication date: 22 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.023

zbMATH Keywords

planar vector fieldcharacteristic orbitmonodromic singular point

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)

Related Items (14)

A new algorithm for determining the monodromy of a planar differential system ⋮ The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields ⋮ Non-formally integrable centers admitting an algebraic inverse integrating factor ⋮ Local phase portraits through the Newton diagram of a vector field ⋮ The center problem. A view from the normal form theory ⋮ Center conditions to find certain degenerate centers with characteristic directions ⋮ Nondegenerate and nilpotent centers for a cubic system of differential equations ⋮ The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor ⋮ Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor ⋮ Center problem for generic degenerate vector fields ⋮ Geometric criterium in the center problem ⋮ Orbitally universal centers ⋮ Center problem with characteristic directions and inverse integrating factors ⋮ Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

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