@article{10272/20905,
year = {2016},
url = {http://hdl.handle.net/10272/20905},
abstract = {In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a Hamiltonian system. It is shown how difficult is the integrability problem even inside this simple family of degenerate centers or perturbations of them.},
organization = {The first and third authors are supported by a MINECO/FEDER grant
number MTM2010-20907-C02-02 and by the Consejer´ıa de Educaci´on y Ciencia de la Junta
de Andaluc´ıa (projects P12-FQM-1658, FQM-276). The fourth author is partially supported
by a MINECO/FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat de
Catalunya) grant number 2014SGR 1204.},
publisher = {Elsevier},
title = {Analytic integrability inside a family of degenerate centers},
doi = {10.1016/j.nonrwa.2016.02.003},
author = {Algaba Durán, Antonio and Checa Camacho, Isabel and García García, Cristóbal and Giné, Jaume},
}