Polynomial and rational first integrals for planar homogeneous polynomial differential systems

• Autores: Jaume Giné Mesa , María Teresa Álvarez Seco , Jaume Llibre
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº. Extra 0 (Proceedings of the Conference “New Trends in Dynamical Systems” held in Salou (Tarragona), Spain, 1-), 2014, págs. 255-278
• Idioma: inglés
• DOI: 10.5565/PUBLMAT_Extra14_14
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• Resumen

  • In this paper we find necessary and suffcient 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.