Blow-up method to compute necessary conditions of integrability for planar differential systems

DOI10.1016/j.amc.2019.04.007zbMath1428.34041OpenAlexW2941573774WikidataQ127998269 ScholiaQ127998269MaRDI QIDQ2279342

Brigita Ferčec, Jaume Giné

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.007

zbMATH Keywords

blow-upformal first integralresonant saddlesaddle constants

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) Normal forms for dynamical systems (37G05)

Related Items (6)

Integrability of resonant saddles in a complex differential system ⋮ Analytic integrability of certain resonant saddle ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems ⋮ Integrability conditions of a weak saddle in a complex polynomial differential system ⋮ Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system

Uses Software

• primdec

Cites Work

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• SINGULAR
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