Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/25416
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Bessa, Mário | - |
dc.contributor.author | Rocha, Jorge | - |
dc.contributor.author | Torres, M. J. | - |
dc.date.accessioned | 2013-10-01T11:17:01Z | - |
dc.date.available | 2013-10-01T11:17:01Z | - |
dc.date.issued | 2013 | - |
dc.identifier.issn | 0951-7715 | por |
dc.identifier.uri | https://hdl.handle.net/1822/25416 | - |
dc.description.abstract | We prove that a Hamiltonian system H \in C^2(M,R) is globally hyperbolic if any of the following statements holds: 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 C^2-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 C^2-Hamiltonian is partially hyperbolic. Finally, we prove that stably weakly shadowable regular energy hypersurfaces are partially hyperbolic. | por |
dc.description.sponsorship | MJT was partially financed by FEDER Funds through "Programa Operacional Factores de Competitividade - COMPETE'' and by Portuguese Funds through FCT - "Fundação para a Ciência e a Tecnologia'', within the Project PEst-C/MAT/UI0013/2011. | por |
dc.language.iso | eng | por |
dc.publisher | IOP Publishing | por |
dc.rights | restrictedAccess | por |
dc.subject | Hamiltonian vector field | por |
dc.subject | Structural stability | por |
dc.subject | Dominated splitting | por |
dc.subject | Elliptic closed orbits | por |
dc.title | Shades of hyperbolicity for Hamiltonians | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://stacks.iop.org/0951-7715/26/2851 | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 2851 | por |
oaire.citationEndPage | 2873 | por |
oaire.citationIssue | 10 | por |
oaire.citationTitle | Nonlinearity | por |
oaire.citationVolume | 26 | por |
dc.identifier.doi | 10.1088/0951-7715/26/10/2851 | - |
dc.subject.wos | Science & Technology | por |
sdum.journal | Nonlinearity | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
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BRT_SHH.pdf Acesso restrito! | 510,45 kB | Adobe PDF | Ver/Abrir |