Inverse problems in Darboux' theory of integrability

DOI10.1007/s10440-012-9671-9zbMath1286.34002OpenAlexW1997497844MaRDI QIDQ384066

Chara Pantazi, Jaume Llibre, Sebastian Walcher, Colin Christopher

Publication date: 25 November 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150516

zbMATH Keywords

planar polynomial vector fieldintegrating factorinvariant curveelementary integrability

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Inverse problems involving ordinary differential equations (34A55) Invariant manifolds for ordinary differential equations (34C45) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (4)

A generalization of the \(S\)-function method applied to a Duffing-van der Pol forced oscillator ⋮ An efficient method for computing Liouvillian first integrals of planar polynomial vector fields ⋮ Invariant curves and integrability of planar \(\mathcal C^r\) differential systems ⋮ On planar polynomial vector fields with elementary first integrals

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