RT Journal Article
T1 Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems
A1 Algaba Durán, Antonio
A1 García García, Cristóbal
A1 Reyes Columé, Manuel
AB We characterize the nilpotent systems whose lowest degree quasi-homogeneous term is (y,σxn)T, σ=±1, having a formal inverse integrating factor. We prove that, for n even, the systems with formal inverse integrating factor are formally orbital equivalent to (x˙,y˙)T=(y,xn)T. In the case n odd, we give a formal normal form that characterizes them. As a consequence, we give the link among the existence of formal inverse integrating factor, center problem and integrability of the considered systems.
PB Elsevier
SN 0960-0779
SN 1873-2887 (electrónico)
YR 2012
FD 2012-06
LK https://hdl.handle.net/10272/25456
UL https://hdl.handle.net/10272/25456
LA eng
NO Algaba, A., García, C., & Reyes, M. (2012). Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems. Chaos, Solitons & Fractals, 45(6), 869–878. https://doi.org/10.1016/j.chaos.2012.02.016
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 projectsMTM2007-64193 and MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta deAndalucía (FQM-276 and P08-FQM-03770).
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026