ON THE DEGENERATE CENTER PROBLEM

DOI10.1142/S0218127411029082zbMath1248.34032MaRDI QIDQ3165775

Jaume Giné

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

first integraldegenerate centerBautin methodessential variables

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 (16)

Analytic integrability of some examples of degenerate planar vector fields ⋮ A new algorithm for determining the monodromy of a planar differential system ⋮ Analytic integrability inside a family of degenerate centers ⋮ The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields ⋮ Limit cycles in a class of switching system with a degenerate singular point ⋮ On the first integrals in the center problem ⋮ Center conditions to find certain degenerate centers with characteristic directions ⋮ Integrability and pseudo-linearizable conditions in a quasi-analytic system ⋮ The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor ⋮ Analytic integrability for some degenerate planar vector fields ⋮ Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems ⋮ Center problem for generic degenerate vector fields ⋮ ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES ⋮ A method for characterizing nilpotent centers ⋮ Orbitally universal centers ⋮ Center problem with characteristic directions and inverse integrating factors

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