| dc.creator |
Fercec, Brigita |
|
| dc.creator |
Giné, Jaume |
|
| dc.date |
2018 |
|
| dc.date.accessioned |
2025-11-03T12:14:56Z |
|
| dc.date.available |
2025-11-03T12:14:56Z |
|
| dc.identifier |
https://doi.org/10.11948/2018.1833 |
|
| dc.identifier |
2156-907X |
|
| dc.identifier |
http://hdl.handle.net/10459.1/65517 |
|
| dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/23889 |
|
| dc.description |
In this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blow-up and the resolution of a recurrence differential equation using induction. Using the method some open integrability problems for certain resonant saddles are solved. |
|
| dc.description |
The authors are grateful to the referee for his/her valuable instructions and suggestions to improve this paper. The first author acknowledges the financial support of
the Slovenian Research Agency (core funding No. P1-0306). The second author is
partially supported by a MINECO/ FEDER grant number MTM2017-84383-P and
an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276. |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.publisher |
Shanghai Normal University & Wilmington Scientific Publisher |
|
| dc.relation |
MINECO/PN2013-2016/MTM2017-84383-P |
|
| dc.relation |
Reproducció del document publicat a https://doi.org/10.11948/2018.1833 |
|
| dc.relation |
Journal Of Applied Analysis And Computation, 2018, vol. 8, núm. 6, p. 1833-1850 |
|
| dc.rights |
cc-by (c) Giné et al., 2018 |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.rights |
http://creativecommons.org/licenses/by/4.0/ |
|
| dc.subject |
Saddle constants |
|
| dc.subject |
Formal first integral |
|
| dc.subject |
Invariant analytic curve |
|
| dc.title |
A blow-up method to prove formal integrability for some planar differential systems |
|
| dc.type |
info:eu-repo/semantics/article |
|
| dc.type |
publishedVersion |
|