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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/14780

Title: Infinitesimal Lyapunov functions for singular flows
Other Titles: Mathematische Zeitschrift
Authors: Araujo, Vitor
Salgado, Luciana
Keywords: Dominated splitting;Partial hyperbolicity;Sectional hyperbolicity;Infinitesimal Lyapunov function
Issue Date: 2013
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.
Description: Texto completo: acesso restrito. p. 863-897
URI: http://repositorio.ufba.br/ri/handle/ri/14780
ISSN: 0025-5874
Appears in Collections:Artigos Publicados em Periódicos (IM)

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