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Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity
dc.contributor.author | Baldomá Barraca, Inmaculada |
dc.contributor.author | Castejón i Company, Oriol |
dc.contributor.author | Martínez-Seara Alonso, M. Teresa |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-12-02T12:45:09Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Baldoma, I.; Castejon, O.; Martinez-seara, M. Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity. "Journal of dynamics and differential equations", 2013, vol. 25, núm. 2, p. 335-392. |
dc.identifier.issn | 1040-7294 |
dc.identifier.uri | http://hdl.handle.net/2117/20865 |
dc.description.abstract | In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order if one performs the normal form around the origin, therefore it is a phenomenon “beyond all orders”. In this paper we provide a formula for the distance between the corresponding stable and unstable one-dimensional manifolds which is given by an exponentially small function in the perturbation parameter. Our result applies both for conservative and dissipative unfoldings |
dc.format.extent | 58 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 | Perturbation (Mathematics) |
dc.subject.other | Exponentially small phenomena |
dc.subject.other | Splitting of separatrices |
dc.subject.other | Hopf-zero singularity |
dc.subject.other | Singular perturbation theory |
dc.title | Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity |
dc.type | Article |
dc.subject.lemac | Pertorbació (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1007/s10884-013-9297-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs10884-013-9297-2 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 12436789 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Baldoma, I.; Castejon, O.; Martinez-seara, M. |
local.citation.publicationName | Journal of dynamics and differential equations |
local.citation.volume | 25 |
local.citation.number | 2 |
local.citation.startingPage | 335 |
local.citation.endingPage | 392 |
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