Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

dc.contributor.authorDelshams Valdés, Amadeu
dc.contributor.authorGonchenko, S.V.
dc.contributor.authorLázaro Ochoa, José Tomás
dc.contributor.authorStenkin, Oleg
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2012-11-27T10:17:32Z
dc.date.available2012-11-27T10:17:32Z
dc.date.created2013-01-01
dc.date.issued2013-01-01
dc.description.abstractWe 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.peerreviewedPeer Reviewed
dc.description.versionPostprint (published version)
dc.format.extent33 p.
dc.identifier.citationDelshams, 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.doi10.1088/0951-7715/26/1/1
dc.identifier.issn0951-7715
dc.identifier.urihttps://hdl.handle.net/2117/17030
dc.language.isoeng
dc.relation.publisherversionhttp://iopscience.iop.org/0951-7715/26/1/1/
dc.rights.accessOpen Access
dc.rights.licensenameAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacEquacions diferencials
dc.titleAbundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
dc.typeArticle
dspace.entity.typePublication
local.citation.authorDelshams, A.; Gonchenko, S.; Gonchenco, V.; Lazaro, J.; Stenkin, O.
local.citation.endingPage33
local.citation.publicationNameNonlinearity
local.citation.startingPage1
local.citation.volume26
local.identifier.drac11071523

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