Abstract
ABSTRACTWe say that a compact invariant set Λ of a C1-vector field X on a compact boundaryless Riemannian manifold M is robustly shadowable if it is locally maximal with respect to a neighbourhood U of Λ, and there exists a C1-neighbourhood of X such that for any , the continuation ΛY of Λ for Y and U is shadowable for Yt. In this paper, we prove that any chain transitive set of a C1-vector field on M is hyperbolic if and only if it is robustly shadowable.
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