dc.contributor.author
García, I. A. (Isaac A.)
dc.contributor.author
Giacomini, Héctor
dc.contributor.author
Giné, Jaume
dc.contributor.author
Llibre, Jaume
dc.date.accessioned
2024-12-05T22:19:01Z
dc.date.available
2024-12-05T22:19:01Z
dc.date.issued
2016-11-03T11:47:35Z
dc.date.issued
2018-10-01T22:19:14Z
dc.date.issued
2016-04-25
dc.date.issued
2016-11-03T11:47:37Z
dc.identifier
https://doi.org/10.1016/j.jmaa.2016.04.046
dc.identifier
http://hdl.handle.net/10459.1/58369
dc.identifier.uri
http://hdl.handle.net/10459.1/58369
dc.description.abstract
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.
dc.description.abstract
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.
dc.format
application/pdf
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2008-03437/ES/ORBITAS PERIODICAS, BIFURCACIONES E INTEGRABILIDAD DE LOS SISTEMAS DINAMICOS/
dc.relation
Versió postprint del document publicat a https://doi.org/10.1016/j.jmaa.2016.04.046
dc.relation
Journal of Mathematical Analysis and Applications, 2016, vol. 441, núm. 2, p. 893-899
dc.relation
info:eu-repo/grantAgreement/EC/FP7/318999
dc.rights
cc-by-nc-nd (c) Elsevier, 2016
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject
Nilpotent center
dc.subject
Poincaré–Liapunov constants
dc.title
Analytic nilpotent centers as limits of nondegenerate centers revisited
dc.type
info:eu-repo/semantics/article
