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metadata.dc.type: | Artigo de Periódico |
Title: | Multidimensional Rovella-like attractors |
Other Titles: | Journal of Differential Equations |
Authors: | 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. |
Abstract: | 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. |
Keywords: | Singular flow Physical measure Dominated decomposition Multidimensional non-uniform expansion |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14585 |
Issue Date: | 2011 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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A.Castro.pdf | 558,4 kB | Adobe PDF | View/Open |
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