RT Journal Article
T1 Integrability of two dimensional quasi-homogeneous polynomial differential systems
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB 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).
PB Rocky Mountain Mathematics Consortium
SN 0035-7596
YR 2011
FD 2011
LK http://hdl.handle.net/10272/13287
UL http://hdl.handle.net/10272/13287
LA eng
NO Algaba Durán, A., García García, C., Reyes Columé, M.: "Integrability of two dimensional quasi-homogeneous polynomial differential systems". Rocky Mountain Journal of Mathematics. Vol. 41, n. 1, (2011). DOI: 10.1216/RMJ-2011-41-1-1
NO 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)
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026