On the polynomial integrability of the Hoyer systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2013
Abstract:	The Hoyer polynomial differential systems depend on nine parameters. We provide necessary conditions in order that these systems have two functionally independent polynomial first integrals. We show that these conditions are not sufficient. Additionally, we illustrate how can be computed the polynomial first integrals of these systems using the Kovalevsky exponents.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is supported by FCT through the project PTDC/MAT/117106/2010 and through CAMGSD, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial first integrals ; Hoyer systems ; Homogeneous differential systems
Published in:	Journal of mathematical analysis and applications, Vol. 399 (2013) , p. 411-417, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2012.10.011

Postprint 10 p, 611.3 KB

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