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Partially Dominated Splittings

2014/02/06 by Luciana Salgado, Salgado, Luciana
Mathematics · #37C10 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37C10 #msc:37D30

paper · pdf · doi:10.48550/arxiv.1402.1511

10 pages, 1 figure

arxiv created 2014/02/06 · arxiv updated 2014/02/10

Abstract

We propose a weak form of domination, called partially dominated splitting and the main result is that there is a partially dominated splitting over a nonsingular compact invariant set for a flow if, and only if, the associated linear Poincare flow has a dominated splitting

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