@article{10272/13287,
year = {2011},
url = {http://hdl.handle.net/10272/13287},
abstract = {In terms of the conservative-dissipative de composition of a vector field, we characterize the two dimensional quasi-homogeneous polynomial differential systems with a polynomial first integral (in these systems, polynomial integrability and analytic integrability are equivalent). We also provide an easy method to allow us to compute them and their centers. Finally, as an application, we find the quasi- homogeneous polynomial systems of degree two which have a polynomial first integral (the cubic homogeneous systems, among others, are included).},
organization = {This work has been partially supported by
 Ministerio de Ciencia 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 de Andalucía
 (FQM-276 and EXC/2005/FQM-872)},
publisher = {Rocky Mountain Mathematics Consortium},
title = {Integrability of two dimensional quasi-homogeneous polynomial differential systems},
doi = {10.1216/RMJ-2011-41-1-1},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}