Publicação
Hamiltonian elliptic dynamics on symplectic 4-manifolds
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Dias, João Lopes | |
| dc.date.accessioned | 2023-10-13T08:26:50Z | |
| dc.date.available | 2023-10-13T08:26:50Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We consider C²-Hamiltonian functions on compact 4-dimensional symplectic manifolds to study the elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We show that for any open set U intersecting a far from Anosov regular energy surface, there is a nearby Hamiltonian having an elliptic closed orbit through U. Moreover, this implies that, for far from Anosov regular energy surfaces of a C²-generic Hamiltonian, the elliptic closed orbits are generic. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, Mário and João Lopes Dias .(2009). “Hamiltonian elliptic dynamics on symplectic 4-manifolds” . Proceedings American Mathematical Society, Volume 137, Number 2: pp. 585–592 (Search PDF in 2023). | pt_PT |
| dc.identifier.eissn | 1088-6826 | |
| dc.identifier.uri | http://hdl.handle.net/10400.5/28970 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | American Mathematical Society (AMS) | pt_PT |
| dc.subject | Hamiltonian Functions | pt_PT |
| dc.subject | Elliptic Dynamics | pt_PT |
| dc.subject | Geometric and Probabilistic Perspective | pt_PT |
| dc.title | Hamiltonian elliptic dynamics on symplectic 4-manifolds | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |