Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, ManuelGiné, Jaume2024-02-292024-02-292023Algaba, 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.2023.1133040362-546Xhttps://hdl.handle.net/10272/23306For perturbations of integrable non-Hamiltonian quasi-homogeneous planar vector field whose origin is a non-degenerate singular point, orbital linearization and analytic integrability are equivalent. We show a class of analytically integrable vector fields whose origin is a degenerate singular point which is orbitally equivalent to a semi-quasi-homogeneous system, that is, it is not orbital equivalent to its lowest-degree quasi-homogeneous term.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Analytically integrabilityOrbitally equivalentSemi-quasihomogeneous systemjournal article10.1016/j.na.2023.113304open access12 Matemáticas