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A note on Liouvillian first integrals and invariant algebraic curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2013 Spain English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 26, pages 285-289 (issn: 0893-9659, Copyright policy )
Authors: Jaume Giné; Maite Grau; Jaume Llibre;

doi: 10.1016/j.aml.2012.09.008

handle: 10459.1/49441

A note on Liouvillian first integrals and invariant algebraic curves

Abstract

In this paper we study the existence and non-existence of finite invariant algebraic curves for complex planar polynomial differential system having a Liouvillian first integral.

Country
Spain
Related Organizations
Keywords

Equacions diferencials no lineals, Applied Mathematics, Integrating factor, First integral, Liouvillian integrability, Invariant algebraic curve

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
hybrid