RT Journal Article
T1 Centers with degenerate infinity and their commutators
A1 Algaba Durán, Antonio
A1 Reyes Columé, Manuel
AB We study polynomial systems with degeneracy at infinity and a center-focus equilibrium at the origin. We give some general properties related to the existence of polynomial commutators and use these properties in order to characterize uniformly isochronous polynomial centers with polynomial commutator and, also, we show that the commutator of the centers of the analytic systems whose angular speed is constant can be chosen of radial form. Finally, we characterize the systems (-y + Ps + ∑j=kn-1, xHj, x + Qs + ∑j=kn-1 yHj)t with polynomial commutator, with Pj, Qj, Hj and Kj homogeneous polynomials.
PB Elsevier
SN 1096-0813 (electrónico)
SN 0022-247X
YR 2003
FD 2003-02
LK https://hdl.handle.net/10272/25435
UL https://hdl.handle.net/10272/25435
LA eng
NO Algaba, A., & Reyes, M. (2003). Centers with degenerate infinity and their commutators. In Journal of Mathematical Analysis and Applications (Vol. 278, Issue 1, pp. 109–124). Elsevier BV. https://doi.org/10.1016/s0022-247x(02)00625-x
NO This work has been supported bythe project BFM2001-2608, Ministerio de Ciencia yTecnología, Spain (FEDER). And by the Consejería deEducación y Ciencia de la Junta de Andalucía (FQM-276)
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026