@article{10272/25451,
year = {2018},
month = {3},
url = {https://hdl.handle.net/10272/25451},
abstract = {We study the existence of a class of inverse integrating factor for a family  of non-formally integrable systems whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrating factor is established, we study the systems having a center. Among others, we characterize the centers of the perturbations of the system $-y^3\partial_x+x^3\partial_y$  having an algebraic inverse integrating factor.},
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
 MTM2014-56272-C2, and by 
Consejería de Educación y Ciencia de la Junta de
Andalucía (FQM-276 and P12-FQM-1658).},
publisher = {American Institue of Mathematical Sciences},
title = {Non-formally integrable centers admitting an algebraic inverse integrating factor},
author = {Algaba Durán, Antonio and Fuentes Díaz, Natalia and García García, Cristóbal and Reyes Columé, Manuel},
}