Algaba Durán, AntonioReyes Columé, Manuel2025-04-252025-04-252003-05Algaba, A., & Reyes, M. (2003). Computing center conditions for vector fields with constant angular speed. In Journal of Computational and Applied Mathematics (Vol. 154, Issue 1, pp. 143–159). Elsevier BV. https://doi.org/10.1016/s0377-0427(02)00818-x1096-0813 (electrónico)0022-247Xhttps://hdl.handle.net/10272/25437We 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.engAtribución-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nd/3.0/es/Ecuaciones diferencialesLimit cyclesPeriodic solutionsjournal article10.1016/s0377-0427(02)00818-xopen access1206.02 Ecuaciones Diferenciales