@article{10272/25437,
year = {2003},
month = {5},
url = {https://hdl.handle.net/10272/25437},
abstract = {We investigate the planar analytic systems which have a center-focus equilibrium at the origin and whose angular speed is constant. The conditions for the origin to be a center (in fact, an isochronous center) are obtained. Concretely, we find conditions for the existence of a Cw-commutator of the field. We cite several subfamilies of centers and obtain the centers of the cuartic polynomial systems and of the families (-y + x(H1 + Hm), x + y(H1 + Hm)1 and (-y + x(H2 + H2n), x + y(H2 + H2n))t, with H i homogeneous polynomial in x,y of degree i. In these cases, the maximum number of limit cycles which can bifurcate from a fine focus is determined.},
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},
keywords = {Ecuaciones diferenciales},
title = {Computing center conditions for vector fields with constant angular speed},
doi = {10.1016/s0377-0427(02)00818-x},
author = {Algaba Durán, Antonio and Reyes Columé, Manuel},
}