| Texto completo | |
| Autor(es): |
Addas-Zanata, Salvador
;
Tal, Fabio Armando
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY; v. 56, n. 3, p. 20-pg., 2023-12-27. |
| Resumo | |
Let f$f$ be a C1+epsilon$C<^>{1+\varepsilon }$ diffeomorphism of the closed annulus A$A$ that preserves orientation and the boundary components, and f similar to$\widetilde{f}$ be a lift of f$f$ to its universal covering space. Assume that A$A$ is a Birkhoff region of instability for f$f$, and the rotation set of f similar to$\widetilde{f}$ is a nondegenerate interval. Then there exists an open f$f$-invariant essential annulus A*$A<^>*$ whose frontier intersects both boundary components of A$A$, and points z+$z<^>+$ and z-$z<^>-$ in A*$A<^>*$, such that the positive (resp., negative) orbit of z+$z<^>+$ converges to a set contained in the upper (resp., lower) boundary component of A*$A<^>*$ and the positive (resp., negative) orbit of z-$z<^>-$ converges to a set contained in the lower (resp., upper) boundary component of A*$A<^>*$. This extends a celebrated result originally proved by Mather in the context of area-preserving twist diffeomorphisms. (AU) | |
| Processo FAPESP: | 16/25053-8 - Dinâmica e geometria em baixas dimensões |
| Beneficiário: | André Salles de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |