RT Journal Article
T1 Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an inverse integrating factor of the form (h+ . . . )q with h = 2σ xn+1 − (n + 1)y2 and q a rational number. We analyze its uniqueness modulus a multiplicative constant.
PB Springer Verlag
SN 1575-5460
SN 1662-3592 (electrónico)
YR 2011
FD 2011
LK http://hdl.handle.net/10272/13292
UL http://hdl.handle.net/10272/13292
LA eng
NO Algaba Durán, A., García García, C., Reyes Columé, M.: "Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))". Qualitative Theory of Dynamical Systems. Vol. 10, n. 2, págs.  303–316, (2011). DOI: 10.1007/s12346-011-0046-9
NO This work has been partially supported by Ministerio de Ciencia y Tecnología, PlanNacional I+D+I co-financed with FEDER funds, in the frame of the projects MTM2007-64193 andMTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276and P08-FQM-03770).
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026