Isolated elliptic fixed points for smooth Hamiltonians
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866911883824463872 |
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| author | Fayad, Bassam Saprykina, Maria |
| author_facet | Fayad, Bassam Saprykina, Maria |
| contents | We construct on $\R^{2d}$, for any $d \geq 3$, smooth Hamiltonians having an elliptic equilibrium with an arbitrary frequency, that is not accumulated by a positive measure set of invariant tori. For $d\geq 4$, the Hamiltonians we construct have not any invariant torus of dimension $d$. Our examples are obtained by a version of the successive conjugation scheme {\it à la} Anosov-Katok. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_02659 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Isolated elliptic fixed points for smooth Hamiltonians Fayad, Bassam Saprykina, Maria Dynamical Systems We construct on $\R^{2d}$, for any $d \geq 3$, smooth Hamiltonians having an elliptic equilibrium with an arbitrary frequency, that is not accumulated by a positive measure set of invariant tori. For $d\geq 4$, the Hamiltonians we construct have not any invariant torus of dimension $d$. Our examples are obtained by a version of the successive conjugation scheme {\it à la} Anosov-Katok. |
| title | Isolated elliptic fixed points for smooth Hamiltonians |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1602.02659 |