| dc.contributor.author | Baldomá Barraca, Inmaculada |
| dc.contributor.author | Castejón Company, Oriol |
| dc.contributor.author | Martínez-Seara Alonso, M. Teresa |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2019-05-31T08:13:54Z |
| dc.date.available | 2019-10-01T00:25:49Z |
| dc.date.issued | 2018-10-01 |
| dc.identifier.citation | Baldoma, I.; Castejón, O.; Martinez-seara, T. Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I). "Journal of nonlinear science", 1 Octubre 2018, vol. 28, núm. 5, p. 1551-1627. |
| dc.identifier.issn | 0938-8974 |
| dc.identifier.uri | http://hdl.handle.net/2117/133743 |
| dc.description.abstract | In this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated normal form of this singularity at any order. The results in this paper are twofold: on the one hand, we give results for generic unfoldings which lead to sharp exponentially small upper bounds of the difference between these manifolds. On the other hand, we provide asymptotic formulas for this difference by means of the Melnikov function for some non-generic unfoldings. |
| dc.format.extent | 77 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Differential equations |
| dc.subject.lcsh | Differentiable dynamical systems |
| dc.subject.other | Exponentially small splitting |
| dc.subject.other | Hopf-zero bifurcation |
| dc.subject.other | Melnikov function |
| dc.subject.other | Borel transform |
| dc.title | Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I) |
| dc.type | Article |
| dc.subject.lemac | Equacions diferencials |
| dc.subject.lemac | Sistemes dinàmics diferenciables |
| dc.contributor.group | Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
| dc.identifier.doi | 10.1007/s00332-018-9458-x |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory |
| dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory |
| dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00332-018-9458-x |
| dc.rights.access | Open Access |
| local.identifier.drac | 23345513 |
| dc.description.version | Postprint (author's final draft) |
| local.citation.author | Baldoma, I.; Castejón, O.; Martinez-seara, Tere |
| local.citation.publicationName | Journal of nonlinear science |
| local.citation.volume | 28 |
| local.citation.number | 5 |
| local.citation.startingPage | 1551 |
| local.citation.endingPage | 1627 |
