RT Journal Article
T1 Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We consider the analytically integrable perturbations of cubic homogeneous differentialsystems whose origin is an isolated singularity. We prove that are orbitallyequivalent to the cubic vector field associated. We also characterize the analyticallyintegrable centers. We apply the results to two families of degenerate vector fields.
PB Springer
SN 16623592
SN 1575-5460
SN 1662-3592 (electrónico)
YR 2021
FD 2021-07
LK https://hdl.handle.net/10272/25369
UL https://hdl.handle.net/10272/25369
LA eng
NO Algaba, A., García, C. & Reyes, M. Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems. Qual. Theory Dyn. Syst. 20, 43 (2021). https://doi.org/10.1007/s12346-021-00479-5
NO 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).
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026