A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS

DOI10.11948/2018.1833zbMath1460.34007OpenAlexW2903165781MaRDI QIDQ5148050

Brigita Ferčec, Jaume Giné

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1833

zbMATH Keywords

formal first integralsaddle constantsinvariant analytic curve

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) Invariant manifolds for ordinary differential equations (34C45)

Related Items (5)

Analytic integrability of certain resonant saddle ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ Blow-up method to compute necessary conditions of integrability for planar differential systems ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems ⋮ Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system

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