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Shades of hyperbolicity for hamiltonians

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dc.contributor.authorBessa, Mário
dc.contributor.authorRocha, Jorge
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2023-05-29T14:05:51Z
dc.date.available2023-05-29T14:05:51Z
dc.date.issued2013
dc.description.abstractWe prove that a Hamiltonian system H ∈ C2(M,R) is globally hyperbolic if any of the following statements hold: H is robustly topologically stable; H is stably shadowable; H is stably expansive; and H has the stable weak specification property. Moreover, we prove that, for a C2-generic Hamiltonian H , the union of the partially hyperbolic regular energy hypersurfaces and the closed elliptic orbits, forms a dense subset of M. As a consequence, any robustly transitive regular energy hypersurface of a C2-Hamiltonian is partially hyperbolic. Finally, we prove that stable weakly-shadowable regular energy hypersurfaces are partially hyperbolic.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, J. Rocha, M. J. Torres, Shades of hyperbolicity for Hamiltonians, Nonlinearity, 26, 10, 2851-2873, 2013pt_PT
dc.identifier.doi10.1088/0951-7715/26/10/2851pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13876
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIOP Sciencept_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.relationStrategic Project - UI 144 - 2011-2012
dc.relationStrategic Project - UI 13 - 2011-2012
dc.relationNonuniformly Hyperbolic Dynamics
dc.titleShades of hyperbolicity for hamiltonianspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardTitleStrategic Project - UI 144 - 2011-2012
oaire.awardTitleStrategic Project - UI 13 - 2011-2012
oaire.awardTitleNonuniformly Hyperbolic Dynamics
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6820 - DCRRNI ID/PEst-C%2FMAT%2FUI0144%2F2011/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6820 - DCRRNI ID/PEst-C%2FMAT%2FUI0013%2F2011/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876-PPCDTI/PTDC%2FMAT%2F099493%2F2008/PT
oaire.citation.endPage2873pt_PT
oaire.citation.issue10pt_PT
oaire.citation.startPage2851pt_PT
oaire.citation.titleNonlinearitypt_PT
oaire.citation.volume26pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6820 - DCRRNI ID
oaire.fundingStream6820 - DCRRNI ID
oaire.fundingStream5876-PPCDTI
person.familyNameBessa
person.familyNameda Costa Cruz de Oliveira Torres
person.givenNameMário
person.givenNameMaria Joana
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id4612-CB41-300A
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-3673-5776
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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