Algaba Durán, AntonioGarcía García, CristóbalReyes Columé, Manuel2025-04-252025-04-252010-09Algaba, 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.2010.04.0590362-546X1873-5215 (electrónico)https://hdl.handle.net/10272/25441We 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.engAtribución-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nd/3.0/es/Rational IntegrabilityQuasi-homogeneous vector fieldRational integrabilityKowalevskaya exponentsjournal article10.1016/j.na.2010.04.059open access12 Matemáticas