|
Title:
|
Centers of weight-homogeneous polynomial vector fields on the plane
|
|
Author:
|
Giné, Jaume; Llibre, Jaume; Valls, Claudia
|
|
Notes:
|
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 |
|
Subject(s):
|
-Hopf bifurcation
-Chaotic System
-Darboux integrability
-Poincaré compactification
-Weight-homogeneous polynomial differential Systems
-Quasi-homogeneous polynomial differential systems |
|
Rights:
|
(c) American Mathematical Society, 2017
|
|
Document type:
|
Article
Article - Accepted version |
|
Published by:
|
American Mathematical Society
|
|
Share:
|
|
