dc.contributor.author
Algaba, Antonio
dc.contributor.author
Checa, Isabel
dc.contributor.author
García, Cristóbal
dc.contributor.author
Giné, Jaume
dc.date.accessioned
2024-12-05T22:04:52Z
dc.date.available
2024-12-05T22:04:52Z
dc.date.issued
2016-11-07T14:50:39Z
dc.date.issued
2018-10-31T23:22:55Z
dc.date.issued
2016-11-07T14:50:39Z
dc.identifier
https://doi.org/10.1016/j.nonrwa.2016.02.003
dc.identifier
http://hdl.handle.net/10459.1/58412
dc.identifier.uri
http://hdl.handle.net/10459.1/58412
dc.description.abstract
In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a Hamiltonian system. It is shown how difficult is the integrability problem even inside this simple family of degenerate centers or perturbations of them.
dc.description.abstract
The first and third authors are supported by a MINECO/FEDER Grant Number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The fourth author is partially supported by a MINECO/FEDER Grant Number MTM2014-53703-P and by a AGAUR (Generalitat de Catalunya) Grant Number 2014SGR 1204.
dc.format
application/pdf
dc.relation
MINECO/PN2013-2016/MTM2014-56272-C2-2
dc.relation
MINECO/PN2013-2016/MTM2014-53703-P
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.nonrwa.2016.02.003
dc.relation
Nonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307
dc.rights
cc-by-nc-nd (c) Elsevier, 2016
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Nonlinear differential systems
dc.subject
Integrability problem
dc.subject
Degenerate center problem
dc.title
Analytic integrability inside a family of degenerate centers
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
