RT Journal Article
T1 Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
A1 Giné, Jaume
AB For perturbations of integrable non-Hamiltonian quasi-homogeneous planar vectorfield whose origin is a non-degenerate singular point, orbital linearization andanalytic integrability are equivalent. We show a class of analytically integrablevector fields whose origin is a degenerate singular point which is orbitallyequivalent to a semi-quasi-homogeneous system, that is, it is not orbital equivalentto its lowest-degree quasi-homogeneous term.
PB Elsevier
SN 0362-546X
YR 2023
FD 2023
LK https://hdl.handle.net/10272/23306
UL https://hdl.handle.net/10272/23306
LA eng
NO Algaba, A., García, C., Reyes, M., & Giné, J. (2023). Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system. In Nonlinear Analysis (Vol. 234, p. 113304). Elsevier BV. https://doi.org/10.1016/j.na.2023.113304
NO The first three authors are partially supported by Ministerio de Economia y Competitividad, PlanNacional I +D+I co-financed with FEDER funds, in the frame of the project PGC2018-096265-B-I00, andby Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276, P12-FQM-1658, UHU126150and P20 00764). The last author is partially supported by the Agencia Estatal de Investigación, Spain grantPID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618.
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026