RT Journal Article
T1 Analytic integrability inside a family of degenerate centers
A1 Algaba Durán, Antonio
A1 Checa Camacho, Isabel
A1 García García, Cristóbal
A1 Giné, Jaume
AB 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.
PB Elsevier
SN 1468-1218
YR 2016
FD 2016
LK http://hdl.handle.net/10272/20905
UL http://hdl.handle.net/10272/20905
LA eng
NO Algaba, A., Checa, I., García, C., & Giné, J. (2016). Analytic integrability inside a family of degenerate centers. In Nonlinear Analysis: Real World Applications (Vol. 31, pp. 288–307). Elsevier BV. https://doi.org/10.1016/j.nonrwa.2016.02.003
NO The first and third authors are supported by a MINECO/FEDER grantnumber MTM2010-20907-C02-02 and by the Consejer´ıa de Educaci´on y Ciencia de la Juntade Andaluc´ıa (projects P12-FQM-1658, FQM-276). The fourth author is partially supportedby a MINECO/FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat deCatalunya) grant number 2014SGR 1204.
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026