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On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
| dc.contributor.author | Delshams Valdés, Amadeu |
| dc.contributor.author | Gonchenko, Marina |
| dc.contributor.author | Gonchenko, Sergey V. |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2015-12-10T11:00:51Z |
| dc.date.available | 2016-07-01T00:30:20Z |
| dc.date.issued | 2015-09-01 |
| dc.identifier.citation | Delshams, A., Gonchenko, M., Gonchenko, S. On dynamics and bifurcations of area-preserving maps with homoclinic tangencies. "Nonlinearity", 01 Setembre 2015, vol. 28, núm. 9, p. 3027-3071. |
| dc.identifier.issn | 0951-7715 |
| dc.identifier.uri | http://hdl.handle.net/2117/80380 |
| dc.description.abstract | We study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with quadratic homoclinic tangencies. We consider one and two parameter general unfoldings and establish results related to the appearance of elliptic periodic orbits. In particular, we find conditions for such maps to have infinitely many generic (KAM-stable) elliptic periodic orbits of all successive periods starting at some number. |
| dc.format.extent | 45 p. |
| dc.language.iso | eng |
| 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 | Astrodynamics and satellite systems |
| dc.subject.other | homoclinic tangency |
| dc.subject.other | area preserving mapping |
| dc.subject.other | bifurcation |
| dc.title | On dynamics and bifurcations of area-preserving maps with homoclinic tangencies |
| dc.type | Article |
| dc.subject.lemac | Astrodinàmica |
| dc.contributor.group | Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
| dc.identifier.doi | 10.1088/0951-7715/28/9/3027 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/0951-7715/28/9/3027/meta;jsessionid=DD87FDB4E2AD8AA7FD73041E7CF7EDF2.c1.iopscience.cld.iop.org |
| dc.rights.access | Open Access |
| local.identifier.drac | 16920762 |
| dc.description.version | Postprint (author's final draft) |
| dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2012-31714/ES/DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A ASTRODINAMICA, NEUROCIENCIA Y OTROS CAMPOS/ |
| local.citation.author | Delshams, A.; Gonchenko, M.; Gonchenko, S. |
| local.citation.publicationName | Nonlinearity |
| local.citation.volume | 28 |
| local.citation.number | 9 |
| local.citation.startingPage | 3027 |
| local.citation.endingPage | 3071 |
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