ETDs @PUC-Rio
| Título: | TOPOLOGICAL PROPERTIES OF PARTIALLY HYPERBOLIC ATTRACTORS | |||||||
| Autor: |
LUIZ FELIPE NOBILI FRANÇA |
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| Colaborador(es): |
LORENZO JUSTINIANO DIAZ CASADO - Orientador FLAVIO ERTHAL ABDENUR - Coorientador |
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| Catalogação: | 20/DEZ/2021 | Língua(s): | ENGLISH - UNITED STATES |
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| Tipo: | TEXT | Subtipo: | THESIS | |||||
| Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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| Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=56681&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=56681&idi=2 |
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| DOI: | https://doi.org/10.17771/PUCRio.acad.56681 | |||||||
| Resumo: | ||||||||
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In this work we extend the results in (12) and (22) about the minimality
of one of the strong foliations (stable or unstable), for the case of robustly
transitive attractors that is partially hyperbolic with one dimensional center
bundle. In our context the partial hyperbolicity is defined only in the
attractor. Some consequences are obtained as the verification that these
attractors are (robustly) homoclinic classes, have (robustly) empty interior
and admit a spectral decomposition. Similar results still holds in the case
of generically transitive attractors.
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