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Centers of weight-homogeneous polynomial vector fields on the plane
Giné, Jaume; Llibre, Jaume; Valls, Claudia
We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial vector fields of degrees $6$ and $7$. The first author was partially supported by MINECO/FEDER grant number MTM2014-53703-P and AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author was partially supported by MINECO grant MTM2013-40998-P, AGAUR grant number 2014 SGR568, the grants FP7-PEOPLE-2012-IRSES 318999 and 316338, and the MINECO/FEDER grant UNAB13-4E-1604. The third author was partially supported by FCT/Portugal through UID/MAT/04459/2013
-Hopf bifurcation
-Chaotic System
-Darboux integrability
-Poincaré compactification
-Weight-homogeneous polynomial differential Systems
-Quasi-homogeneous polynomial differential systems
(c) American Mathematical Society, 2017
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