Let X be a vector field on a closed smooth manifold M. In this paper, we show that if X belongs to the C1-interior of the set of all vector fields having the limit shadowing property, then it is transitive Anosov.
机构:
Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, SpainUniv Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
Llibre, Jaume
Salhi, Tayeb
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Univ Mohamed El Bachir El Ibrahimi, Dept Math, Bordj Bou Arreridj 34265, El Anasser, AlgeriaUniv Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain