Publication
The Lyapunov exponents of generic zero divergence three-dimensional vector fields
| dc.contributor.author | Bessa, Mário | |
| dc.date.accessioned | 2023-05-25T10:06:27Z | |
| dc.date.available | 2023-05-25T10:06:27Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We prove that for a C1-generic (dense Gδ) subset of all the conservative vector fields on three-dimensional compact manifolds without singularities, we have for Lebesgue almost every (a.e.) point p ∈ M that either the Lyapunov exponents at p are zero or X is an Anosov vector field. Then we prove that for a C1-dense subset of all the conservative vector fields on three-dimensional compact manifolds, we have for Lebesgue a.e. p ∈ M that either the Lyapunov exponents at p are zero or p belongs to a compact invariant set with dominated splitting for the linear Poincaré flow. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, The Lyapunov exponents of generic zero divergence three-dimensional vector fields, Ergodic Theory and Dynamical Systems, 27(5), 1445-1472 2007 | pt_PT |
| dc.identifier.doi | 10.1017/S0143385707000107 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13836 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Cambridge University Press | pt_PT |
| dc.relation | Not available | |
| dc.title | The Lyapunov exponents of generic zero divergence three-dimensional vector fields | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Not available | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBD%2F1444%2F2000/PT | |
| oaire.citation.endPage | 1472 | pt_PT |
| oaire.citation.issue | 5 | pt_PT |
| oaire.citation.startPage | 1445 | pt_PT |
| oaire.citation.title | Ergodic Theory and Dynamical Systems | pt_PT |
| oaire.citation.volume | 27 | pt_PT |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isAuthorOfPublication.latestForDiscovery | 2dd300f3-9f00-49de-9333-78ec0511220e | |
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