dc.contributor.author |
Algaba, Antonio |
dc.contributor.author |
Checa, Isabel |
dc.contributor.author |
García, Cristóbal |
dc.contributor.author |
Giné, Jaume |
dc.date |
2016-11-07T14:50:39Z |
dc.date |
2018-10-31T23:22:55Z |
dc.date |
2016 |
dc.date |
2016-11-07T14:50:39Z |
dc.identifier |
1468-1218 |
dc.identifier |
http://hdl.handle.net/10459.1/58412 |
dc.identifier |
https://doi.org/10.1016/j.nonrwa.2016.02.003 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/58412 |
dc.description |
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 |
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.language |
eng |
dc.publisher |
Elsevier |
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 |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Nonlinear differential systems |
dc.subject |
Integrability problem |
dc.subject |
Degenerate center problem |
dc.subject |
Matemàtica |
dc.subject |
Mathematics |
dc.title |
Analytic integrability inside a family of degenerate centers |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/acceptedVersion |