RT Journal Article
T1 Non-formally integrable centers admitting an algebraic inverse integrating factor
A1 Algaba Durán, Antonio
A1 Fuentes Díaz, Natalia
A1 García García, Cristóbal
A1 Reyes Columé, Manuel
AB We study the existence of a class of inverse integrating factor for a family  of non-formally integrable systems whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrating factor is established, we study the systems having a center. Among others, we characterize the centers of the perturbations of the system $-y^3\partial_x+x^3\partial_y$  having an algebraic inverse integrating factor.
PB American Institue of Mathematical Sciences
SN 1078-0947
SN 1553-5231 (electrónico)
YR 2018
FD 2018-03
LK https://hdl.handle.net/10272/25451
UL https://hdl.handle.net/10272/25451
LA eng
NO Algaba, A., Fuentes, N., García, C., & Reyes, M. (2018). Non-formally integrable centers admitting an algebraic inverse integrating factor. In Discrete & Continuous Dynamical Systems - A (Vol. 38, Issue 3, pp. 967–988). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcds.2018041
NO “This article has been published in a revised form in Discrete & Continuous Dynamical Systems  [https://doi.org/10.3934/dcds.2018041]. This version is free to download for private research  and study only. Not for redistribution, re-sale or use in derivative works.”
NO This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+Ico-financed with FEDER funds, in the frame of the project MTM2014-56272-C2, and by Consejería de Educación y Ciencia de la Junta deAndalucía (FQM-276 and P12-FQM-1658).
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026