@article{10272/25369, year = {2021}, month = {7}, url = {https://hdl.handle.net/10272/25369}, abstract = {We consider the analytically integrable perturbations of cubic homogeneous differential systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the cubic vector field associated. We also characterize the analytically integrable centers. We apply the results to two families of degenerate vector fields.}, organization = {This work has been partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PGC2018-096265-B-I00) and by Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía, Spain (projects FQM-276, UHU-1260150 and P12-FQM-1658).}, publisher = {Springer}, title = {Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems}, author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel}, }