|
Título:
|
Analytic nilpotent centers as limits of nondegenerate centers revisited
|
|
Autor/a:
|
García, I. A. (Isaac A.); Giacomini, Héctor; Giné, Jaume; Llibre, Jaume
|
|
Notas:
|
We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers.
The first and third authors are partially supported by a MICINN grant number
MTM2011-22877 and by a CIRIT grant number 2014 SGR 1204. The fourth author
is partially supported by a MINECO/FEDER grant MTM2008-03437, a CIRIT
grant number 2009SGR-410, an ICREA Academia, the grant FP7-PEOPLE-2012-
IRSES 318999, and FEDER-UNAB10-4E-378. |
|
Materia(s):
|
-Nilpotent center
-Poincaré–Liapunov constants |
|
Derechos:
|
cc-by-nc-nd (c) Elsevier, 2016
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
|
|
Tipo de documento:
|
Artículo
acceptedVersion |
|
Editor:
|
Elsevier
|
|
Compartir:
|
|
