RT Journal Article T1 Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems A1 Algaba Durán, Antonio A1 García García, Cristóbal A1 Reyes Columé, Manuel AB We characterize, in terms of the conservative-dissipativedecomposition of a vector field, the two-dimensionalquasi-homogeneous polynomial differential systems which have got arational first integral. We obtain the Kowalevskaya exponents ofthese vector fields and relate the rational integrability of thesefields to their Kowalevskaya exponents. PB Elsevier SN 0362-546X SN 1873-5215 (electrónico) YR 2010 FD 2010-09 LK https://hdl.handle.net/10272/25441 UL https://hdl.handle.net/10272/25441 LA eng NO Algaba, A., García, C., & Reyes, M. (2010). Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems. In Nonlinear Analysis: Theory, Methods & Applications (Vol. 73, Issue 5, pp. 1318–1327). Elsevier BV. https://doi.org/10.1016/j.na.2010.04.059 NO This work has been partially supported by Ministerio deCiencia y Tecnología, Plan Nacional I+D+I co-financed withFEDER funds, in the frame of the project MTM2004-04066, MTM2007-64193 and by Consejería de Educación y Ciencia de la Junta deAndalucía (FQM-276 and EXC/2005/FQM-872). DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026