Centers of weight-homogeneous polynomial vector fields on the plane

Giné, Jaume; Llibre, Jaume; Valls, Claudia

doi:10.1090/proc/13393

Centers of weight-homogeneous polynomial vector fields on the plane
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by Jaume Giné, Jaume Llibre and Claudia Valls

Proc. Amer. Math. Soc. 145 (2017), 2539-2555

DOI: https://doi.org/10.1090/proc/13393

Published electronically: December 9, 2016

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Abstract:

We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight- homogeneous polynomial vector fields of degrees $6$ and $7$.

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