RT Journal Article
T1 Computing center conditions for vector fields with constant angular speed
A1 Algaba Durán, Antonio
A1 Reyes Columé, Manuel
K1 Ecuaciones diferenciales
AB 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.
PB Elsevier
SN 1096-0813 (electrónico)
SN 0022-247X
YR 2003
FD 2003-05
LK https://hdl.handle.net/10272/25437
UL https://hdl.handle.net/10272/25437
LA eng
NO Algaba, 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-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