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https://repositorio.ufba.br/handle/ri/14780
metadata.dc.type: | Artigo de Periódico |
Título : | Infinitesimal Lyapunov functions for singular flows |
Otros títulos : | Mathematische Zeitschrift |
Autor : | Araujo, Vitor Salgado, Luciana |
metadata.dc.creator: | Araujo, Vitor Salgado, Luciana |
Resumen : | We present an extension of the notion of infinitesimal Lyapunov function to singular flows, and from this technique we deduce a characterization of partial/sectional hyperbolic sets. In absence of singularities, we can also characterize uniform hyperbolicity. These conditions can be expressed using the space derivative DX of the vector field X together with a field of infinitesimal Lyapunov functions only, and are reduced to checking that a certain symmetric operator is positive definite at the tangent space of every point of the trapping region. |
Palabras clave : | Dominated splitting Partial hyperbolicity Sectional hyperbolicity Infinitesimal Lyapunov function |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/14780 |
Fecha de publicación : | 2013 |
Aparece en las colecciones: | Artigo Publicado em Periódico (IME) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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art%3A10.1007%2Fs00209-013-1163-8.pdf | 455,27 kB | Adobe PDF | Visualizar/Abrir |
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