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Polynomial and rational first integrals for planar homogeneous polynomial differential systems

To access the full text documents, please follow this link: http://hdl.handle.net/10459.1/49445

Author

Giné, Jaume

Grau Montaña, Maite

Llibre, Jaume

Publication date

2016-02-04T10:22:39Z

2018-12-31T23:29:45Z

2014

2016-02-04T10:11:42Z



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Abstract

In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.

The first and second authors are partially supported by a MICINN/ FEDER grant number MTM2011-22877 and by a AGAUR (General- itat de Catalunya) grant number 2009SGR 381. The third author is partially supported by a MICINN/ FEDER grant number MTM2008- 03437, by a AGAUR grant number 2009SGR 410 and by ICREA Academia

Document Type

article
acceptedVersion

Language

English

Subjects and keywords

First integral; Polynomial differential equations; Integrability problem; Equacions diferencials

Publisher

Universitat Autònoma de Barcelona

Related items

info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/

Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_Extra14_14

Publicacions Matematiques, 2014, vol. EXTRA, p. 255-278

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(c) Universitat Autònoma de Barcelona, 2014

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Documents de recerca [17848]