Dominated splittings for flows with singularities

We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a C1 flow Xt to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.

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Bibliographic Details
Published in:Nonlinearity 2013-08, Vol.26 (8), p.2391-2407
Main Authors: Araujo, Vitor, Arbieto, Alexander, Salgado, Luciana
Format: Article
Language:English
Subjects:
Dominated splitting
Invariants
Nonlinearity
partial hyperbolicity
sectional hyperbolicity
Singularities
Splitting
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Description
Summary:We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a C1 flow Xt to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/26/8/2391