@article{10272/25441, year = {2010}, month = {9}, url = {https://hdl.handle.net/10272/25441}, abstract = {We characterize, in terms of the conservative-dissipative decomposition of a vector field, the two-dimensional quasi-homogeneous polynomial differential systems which have got a rational first integral. We obtain the Kowalevskaya exponents of these vector fields and relate the rational integrability of these fields to their Kowalevskaya exponents.}, organization = {This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2004-04066, MTM2007-64193 and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and EXC/2005/FQM-872).}, publisher = {Elsevier}, title = {Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems}, doi = {10.1016/j.na.2010.04.059}, author = {Algaba Durán, Antonio and García García, Cristóbal and Reyes Columé, Manuel}, }