A blow-up method to prove formal integrability for some planar differential systems
| dc.contributor.author | Fercec, Brigita | |
| dc.contributor.author | Giné, Jaume | |
| dc.date.accessioned | 2019-01-16T09:40:29Z | |
| dc.date.available | 2019-01-16T09:40:29Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 2156-907X | |
| dc.identifier.uri | http://hdl.handle.net/10459.1/65517 | |
| dc.description.abstract | 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.sponsorship | 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.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Shanghai Normal University & Wilmington Scientific Publisher | |
| dc.relation | MINECO/PN2013-2016/MTM2017-84383-P | |
| dc.relation.isformatof | Reproducció del document publicat a https://doi.org/10.11948/2018.1833 | |
| dc.relation.ispartof | 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.uri | 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.date.updated | 2019-01-16T09:40:29Z | |
| dc.identifier.idgrec | 027873 | |
| dc.type.version | publishedVersion | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.identifier.doi | https://doi.org/10.11948/2018.1833 |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as cc-by (c) Giné et al., 2018