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https://repositorio.ufba.br/handle/ri/14585
metadata.dc.type: | Artigo de Periódico |
Título : | Multidimensional Rovella-like attractors |
Otros títulos : | Journal of Differential Equations |
Autor : | Castro, A. Pinheiro, Vilton Jeovan Viana Araújo, V. Pacifico, M. J. |
metadata.dc.creator: | Castro, A. Pinheiro, Vilton Jeovan Viana Araújo, V. Pacifico, M. J. |
Resumen : | We present a multidimensional flow exhibiting a Rovella-like attractor: a transitive invariant set with a non-Lorenz-like singularity accumulated by regular orbits and a multidimensional non-uniformly expanding invariant direction. Moreover, this attractor has a physical measure with full support and persists along certain sub-manifolds of the space of vector fields. As in the 3-dimensional Rovella-like attractor, this example is not robust. As a sub-product of the construction we obtain a new class of multidimensional non-uniformly expanding endomorphisms without any uniformly expanding direction, which is interesting by itself. Our example is a suspension (with singularities) of this multidimensional endomorphism. |
Palabras clave : | Singular flow Physical measure Dominated decomposition Multidimensional non-uniform expansion |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/14585 |
Fecha de publicación : | 2011 |
Aparece en las colecciones: | Artigo Publicado em Periódico (IME) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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A.Castro.pdf | 558,4 kB | Adobe PDF | Visualizar/Abrir |
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