RT Journal Article
T1 Local analytic integrability for a class of degenerate planar vector fields
A1 Algaba Durán, Antonio
A1 Reyes Columé, Manuel
A1 Giné, Jaume
AB Using the normal form theory and the existence of an algebraic inverse integrating factor we characterize the local analytic integrability of the systems whose quasi-homogeneous leading term is (a1 y3 + a2x3 y, b1x5 + b2x2 y2). More specifically we prove that the analytic integrable vector fields inside such family are orbitally equivalent to a semi-quasi-homogeneus system, that is, are not orbitally equivalent to its lowest-degree quasi-homogeneous term.
PB Walter de Gruyter GmbH
SN 2169-0375
YR 2025
FD 2025
LK https://hdl.handle.net/10272/27264
UL https://hdl.handle.net/10272/27264
LA eng
NO Algaba, Antonio, Reyes, Manuel and Giné, Jaume. "Local analytic integrability for a class of degenerate planar vector fields" Advanced Nonlinear Studies, vol. 25, no. 3, 2025, pp. 921-934. https://doi.org/10.1515/ans-2023-0184
NO The first two authors are partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PID2021-123200NB-I00) and by Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía, Spain (project FQM-276). The last author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618.
DS Repositorio Institucional de la Universidad de Huelva
RD 1 jun 2026