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Pàgina inicial > Articles > Articles publicats > On the polynomial integrability of the Hoyer systems |
Data: | 2013 |
Resum: | 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. |
Ajuts: | Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Nota: | Agraïments: The second author is supported by FCT through the project PTDC/MAT/117106/2010 and through CAMGSD, Lisbon. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Polynomial first integrals ; Hoyer systems ; Homogeneous differential systems |
Publicat a: | Journal of mathematical analysis and applications, Vol. 399 (2013) , p. 411-417, ISSN 1096-0813 |
Postprint 10 p, 611.3 KB |