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metadata.dc.type: | Artigo de Periódico |
Title: | Infinitesimal Lyapunov functions for singular flows |
Other Titles: | Mathematische Zeitschrift |
Authors: | Araujo, Vitor Salgado, Luciana |
metadata.dc.creator: | Araujo, Vitor Salgado, Luciana |
Abstract: | 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. |
Keywords: | Dominated splitting Partial hyperbolicity Sectional hyperbolicity Infinitesimal Lyapunov function |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14780 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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art%3A10.1007%2Fs00209-013-1163-8.pdf | 455,27 kB | Adobe PDF | View/Open |
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