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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[pt] PROPRIEDADES TOPOLÓGICAS DE ATRATORES PARCIALMENTE HIPERBÓLICOS / [en] TOPOLOGICAL PROPERTIES OF PARTIALLY HYPERBOLIC ATTRACTORS

20 December 2021 (has links)
[pt] Neste trabalho estendemos os resultados em (12) e (22), sobre a minimalidade de uma das folheações estável ou instável forte), para o caso de atratores robustamente transitivos parcialmente hiperbólico e com direção central unidimensional. No nosso contexto a hiperbolicidade parcial esta definida somente no atrator. Algumas consequências são obtidas tais como a verificação de que estes atratores são robustamente) classes homoclínicas, possuem robustamente) interior vazio e admitem uma decomposição espectral. Resultados similares ainda valem no caso de atratores genericamente transitivos. / [en] 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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