@article{10272/25435,
year = {2003},
month = {2},
url = {https://hdl.handle.net/10272/25435},
abstract = {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.},
organization = {This work has been supported by
the project BFM2001-2608, Ministerio de Ciencia y
Tecnología, Spain (FEDER). And by the Consejería de
Educación y Ciencia de la Junta de Andalucía (FQM-276)},
publisher = {Elsevier},
title = {Centers with degenerate infinity and their commutators},
doi = {10.1016/s0022-247x(02)00625-x},
author = {Algaba Durán, Antonio and Reyes Columé, Manuel},
}