Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
| dc.contributor.author | Delshams Valdés, Amadeu |
| dc.contributor.author | Gonchenko, S.V. |
| dc.contributor.author | Lázaro Ochoa, José Tomás |
| dc.contributor.author | Stenkin, Oleg |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2012-11-27T10:17:32Z |
| dc.date.available | 2012-11-27T10:17:32Z |
| dc.date.created | 2013-01-01 |
| dc.date.issued | 2013-01-01 |
| dc.description.abstract | We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle fixed points. We consider one-parameter families of reversible maps unfolding the initial heteroclinic tangency and prove the existence of infinitely many sequences (cascades) of bifurcations and birth of asymptotically stable, unstable and elliptic periodic orbits |
| dc.description.peerreviewed | Peer Reviewed |
| dc.description.version | Postprint (published version) |
| dc.format.extent | 33 p. |
| dc.identifier.citation | Delshams, A. [et al.]. Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps. "Nonlinearity", 01 Gener 2013, vol. 26, p. 1-33. |
| dc.identifier.doi | 10.1088/0951-7715/26/1/1 |
| dc.identifier.issn | 0951-7715 |
| dc.identifier.uri | https://hdl.handle.net/2117/17030 |
| dc.language.iso | eng |
| dc.relation.publisherversion | http://iopscience.iop.org/0951-7715/26/1/1/ |
| dc.rights.access | Open Access |
| dc.rights.licensename | 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.lemac | Sistemes dinàmics diferenciables |
| dc.subject.lemac | Equacions diferencials |
| dc.title | Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps |
| dc.type | Article |
| dspace.entity.type | Publication |
| local.citation.author | Delshams, A.; Gonchenko, S.; Gonchenco, V.; Lazaro, J.; Stenkin, O. |
| local.citation.endingPage | 33 |
| local.citation.publicationName | Nonlinearity |
| local.citation.startingPage | 1 |
| local.citation.volume | 26 |
| local.identifier.drac | 11071523 |
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