A note on Liouvillian first integrals and invariant algebraic curves

Jaume Giné; Maite Grau; Jaume Llibre

doi:https://doi.org/10.1016/j.aml.2012.09.008

A note on Liouvillian first integrals and invariant algebraic curves

Jaume Giné, Maite Grau, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. © 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	285-289
Journal	Applied Mathematics Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2012.09.008
Publication status	Published - 1 Feb 2013

Keywords

First integral
Integrating factor
Invariant algebraic curve
Liouvillian integrability

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https://ddd.uab.cat/record/150613

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title = "A note on Liouvillian first integrals and invariant algebraic curves",

abstract = "In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

keywords = "First integral, Integrating factor, Invariant algebraic curve, Liouvillian integrability",

author = "Jaume Gin{\'e} and Maite Grau and Jaume Llibre",

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doi = "https://doi.org/10.1016/j.aml.2012.09.008",

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T1 - A note on Liouvillian first integrals and invariant algebraic curves

AU - Giné, Jaume

AU - Grau, Maite

AU - Llibre, Jaume

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N2 - In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. © 2012 Elsevier Ltd. All rights reserved.

AB - In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. © 2012 Elsevier Ltd. All rights reserved.

KW - First integral

KW - Integrating factor

KW - Invariant algebraic curve

KW - Liouvillian integrability

U2 - https://doi.org/10.1016/j.aml.2012.09.008

DO - https://doi.org/10.1016/j.aml.2012.09.008

M3 - Article

VL - 26

SP - 285

EP - 289

IS - 2

ER -

A note on Liouvillian first integrals and invariant algebraic curves

Abstract

Keywords

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