dc.contributor.author
Llibre, Jaume
dc.contributor.author
Valls, Clàudia
dc.identifier
https://ddd.uab.cat/record/150611
dc.identifier
urn:10.1016/j.jmaa.2012.10.011
dc.identifier
urn:oai:ddd.uab.cat:150611
dc.identifier
urn:gsduab:3467
dc.identifier
urn:scopus_id:84869087509
dc.identifier
urn:wos_id:000311818200035
dc.identifier
urn:oai:egreta.uab.cat:publications/96a84b3a-e6d6-43ee-824c-81e6dcb57bab
dc.identifier
urn:articleid:10960813v399p411
dc.description.abstract
Agraïments: The second author is supported by FCT through the project PTDC/MAT/117106/2010 and through CAMGSD, Lisbon.
dc.description.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.
dc.format
application/pdf
dc.relation
Ministerio de Ciencia e Innovación MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
dc.relation
Journal of mathematical analysis and applications ; Vol. 399 (2013), p. 411-417
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Polynomial first integrals
dc.subject
Homogeneous differential systems
dc.title
On the polynomial integrability of the Hoyer systems
