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Pàgina inicial > Articles > Articles publicats > Darboux polynomials, balances and Painlevé property |
Data: | 2017 |
Resum: | For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painlevé property. As far as we know, these are the first results which relate the Darboux theory of integrability, first, to the Painlevé property and, second, to the Kovalevskaya exponents. The relation of these last two notions to the general integrability has been intensively studied over these last years. |
Ajuts: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Painlevé property ; Darboux polynomial ; Kovalevskaya exponents |
Publicat a: | Regular and Chaotic Dynamics, Vol. 22, Issue 5 (September 2017) , p. 543-550, ISSN 1468-4845 |
Postprint 11 p, 628.1 KB |