A carregar...
Publicação
Hamiltonian elliptic dynamics on symplectic 4-manifolds
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 166.5 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Hamiltonian Functions Elliptic Dynamics Geometric and Probabilistic Perspective
Contexto Educativo
Citação
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).
Editora
American Mathematical Society (AMS)